Plus One Physics Previous Year Question Paper 2017

Kerala Plus One Physics Previous Year Question Paper 2017

Time: 2 Hours
Cool off time: 15 Minutes
Maximum: 60 Scores

General Instructions to candidates

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time.
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read the instructions carefully.
  • Read questions carefully before you answering.
  • Calculations, figures, and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provided.
  • Give equations wherever necessary.
  • Electronic devices except non-programmable calculators are not allowed in the Examination Hall.

Question 1.
Pick the odd one out among the following forces:
a. Gravitational force
b. Weak nuclear force
c. Viscous force
d. Electromagnetic force
Plus One Physics Previous Year Question Papers and Answers 2017 1

Question 2.
The demonstration of conservation of angular momentum is schematically shown in the figures.
Plus One Physics Previous Year Question Papers and Answers 2017 2
Identify the figure which has more angular velocity.
Plus One Physics Previous Year Question Papers and Answers 2017 3

Question 3.
“Two systems in thermal equilibrium with a third system, are in thermal equilibrium with each other”. Identify the law given by the above statement.
Plus One Physics Previous Year Question Papers and Answers 2017 4

Question 4.
A steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length. Calculate the elongation of the steel rod. [Young’s modulus of steel is 2.0 × 1011 N/m2.]
Plus One Physics Previous Year Question Papers and Answers 2017 5

OR
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A metal cube of side 10 cm is subjected to a; shear stress 104 N/m2. Calculate the rigidity: modulus, if the top of the cube is displaced by 0.05 cm with respect to its bottom.
Plus One Physics Previous Year Question Papers and Answers 2017 7

Question 5.
Draw the schematic diagram of a hydraulic lift. Give its working principle.
Plus One Physics Previous Year Question Papers and Answers 2017 8

Question 6.
Estimate the average thermal energy of the helium atom at a temperature of 27°C. [Boltzmann constant is 1.38 × 10-23J/K.]
Plus One Physics Previous Year Question Papers and Answers 2017 9

Question 7.
The graph below exhibits the anomalous expansion of water.
Plus One Physics Previous Year Question Papers and Answers 2017 10
Plus One Physics Previous Year Question Papers and Answers 2017 11
Based on the graph, explain how lakes freeze from the top to bottom rather than from bottom to top.
Plus One Physics Previous Year Question Papers and Answers 2017 12

Question 8.
Match the following in three columns.
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Question 9.
a. The figure below shows the ‘parallax method’ to measure the distance ‘D’ of a planet ‘S’ from the earth.
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Mark the parallax angle ‘0’ in the figure. Explain how the distance ‘D’ can be measured.
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b. Check whether the equation mv2 = mgh is dimensionally consistent. Based on the above equation, justify the following statement. “A dimensionally correct equation need not be actually an exact equation”.
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Question 10.
a. Choose the correct statement/statements related to uniform circular motion.
i. The acceleration in uniform circular motion is tangential to the circle.
ii. The acceleration in uniform circular motion is directed radially inwards.
iii. The velocity in uniform circular motion has constant magnitude.
iv. The velocity in uniform circular motion is directed radially inwards.
b. A particle is projected up into the air from the point with a speed of 20 m/s at an angle of projection 30°. What is the maximum height reached by it?
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Question 11.
a. The escape speed from the surface of the earth is given by …………………..
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b. An artificial satellite circulating the earth is at a height 3400 km from the surface of the earth. If the radius of the earth is 6400 km and g = 9.8 m/s2, calculate the orbital velocity of the satellite.
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Question 12.
a. Among the following, which are examples of simple harmonic motion?
i. The rotation of the earth about its axis.
ii. Vertical oscillations of a loaded spring.
iii. Oscillations of a simple pendulum.
iv. Uniform circular motion.
b. The displacement in simple harmonic motion can be represented as x(t) = A Cos(ωt+ Φ), where ‘Φ’is the phase constant. Identify and define ‘A’ and ‘co’ in the equation.
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Question 13.
a. A transverse harmonic wave is described j by y=3.0 Sin (0.018 × + 36t), where ‘x’ and ‘y’ are in cm. The amplitude of this; the wave is
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b. The figure below shows the fundamental mode or first harmonic in a stretched j string when a standing wave is formed ‘ in the string.
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Draw the figure that shows the second; harmonic in the string. If ‘L’ is the length of the string and Vis the speed of the: wave in the string, what are the equations of first and second harmonic frequent:
Plus One Physics Previous Year Question Papers and Answers 2017 25

Question 14.
An object released near the surface of the I earth is said to be in free fall. (Neglect the air resistance)
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a. Choose the correct alternative from the clues given at the end of the statement. “Free fall is an example of accelerated motion”.
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b. The incomplete table shows the velocity (υ) of a freely falling object in a time interval of 1 s. (Take g = 10 m/s2)
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Complete the table and draw the velocity time graph.
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c. Area under velocitytime graph gives.
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Question 15.
The schematic diagram of the circular motion of a car on a banked road is shown in the figure.
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a. If the centripetal force is provided by the horizontal components of ‘N’ and ‘F’ arrive at an expression for maximum safe speed.
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b. The optimum speed of a car on a banked road to avoid wear and tear on its tyres is given by …………….
Plus One Physics Previous Year Question Papers and Answers 2017 34

Question 16.
Energy of a body is defined as its capacity of doing work”.
a. The energy possessed by a body by virtue of motion is known as ………….
b. A body of mass 5 kg initially at rest is subjected to a horizontal force of 20 N. What is the kinetic energy acquired by the body at the end of 10 s?
c. State whether the following statement is TRUE or FALSE. “The change in kinetic energy of a particle is equal to the work done on it by the net force”.
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Question 17.
The angular momentum of a particle is the rotational analogue of its linear momentum.
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a. The equation connecting angular momentum and linear momentum are ……………
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b. Starting from the equation connecting angular momentum and linear momentum, deduce the relation between torque and angular momentum.
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Moment of inertia in rotational motion is analogous to mass in linear motion.
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a. The moment of inertia of a circular disc about an axis perpendicular to the plane, at the center is given by ………….
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b. State perpendicular axis theorem and by using the theorem, deduce the moment of inertia of the circular disc about an axis passing through the diameter.
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Question 18.
A region of streamline flow of an incompressible fluid is shown in the figure.
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a. By considering mass conservation in the fluid flow, arrive at the ‘equation of continuity’.
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b. The onset of turbulence in a fluid is determined by ‘Reynolds number’, given as …………….
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Schematic diagram of capillary rise in a narrow tube is shown in the figure.
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a. Arrive at an expression for capillary height ‘h’ in terms of the surface tension of the liquid.
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b. On the surface of the moon, the liquid in a capillary tube will rise to the ……………..
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i. same height as on earth,
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ii. less height as on earth
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iii. more height than that on earth
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iv. infinite height.
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Answers

Answer 1.
Viscous force (Not a fundamental force in nature)

Answer 2.
Figure 2. (Law of a moment of inertia) When the man stretched his arm, according to a law of conservation of angular momentum the distance from the axis of rotation increases and
so a moment of inertia increases and thereby angular speed decreases.

Answer 3.
Zeroth law of thermodynamics. 0 .05/10

Answer 4.
Plus One Physics Previous Year Question Papers and Answers 2017 56

OR

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Answer 5.
Pascal’s law is the working principle behind the hydraulic lift. Pascal’s law states that The pressure in a fluid at rest is same at all points if we ignore gravity.

If the pressure in a liquid is changed at a particular point, the change is transmitted to the entire liquid without being diminished in magnitude. The pressure exerted at any point on an enclosed liquid is transmitted equally in all directions.
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Construction: It is a simple application of Pascal’s law. There are two cylinders C1 and C2 of cross-sectional areas A1 and A2 connected by a pipe. Pistons are fitted in both cylinders. The load to be lifted is kept on the platform of the piston with more area (A2>A1). The cylinders and pipe contain a liquid.

Working: A force is applied on the smaller piston. Then pressure exerted on the liquid is, \(P=\frac { { F }_{ 1 } }{ A }\) According to Pascal’s law, the same pressure ‘P’ is transmitted to the larger piston. Force on larger piston ¡s
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Hence by making the ratio A2/A1 large, very heavy loads like cars can be lifted by using a small force.

Answer 6.
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Answer 7.
When water is cooled from 4°C to 0°C, it expands. So ¡ce at 0°C ¡s less dense (more volume) than water at 4°C. When lake starts cooling water at the top reaches 4°C and sinks to the bottom due to high density. This continues till whole water reaches 4°C. Now when the temperature decreases to zero water on the top becomes ice which is less dense than the water below. So it does not sink.

Answer 8.
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Answer 9.
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To measure the distance D of a faraway planet S by the parallax method, we observe it from two different positions (observatories) A and B on the earth, separated by distance AB = b at the same time as in fig. We measure the angle between the two directions along which the planet is viewed at these two points. The ∠ASB represented by symbol 0 is called the parallax angle or parallactic angle.

As the planet is very far away, \(\frac { { b } }{ D } <<1\) and therefore, O is very small. Then we approxi mately take AB as an arc of length b or a circle with centre at S and the distance D as the radius AS = BS. So that AB = b = DO where O is in radians \(D=\frac { { b } }{ \theta }\)

b. mv2 = mgh, takig dimension on both sides
[M] [LT-1]2 = [M] [LT-1] [L]
[ML2T2] = [M1L2T2]
The given equation is dimensionally cor rect. This is not the exact equation, which is mgh. Since the fraction ½ has no dimension, the complete consistency can’t be checked.

Answer 10.
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Answer 11.
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Answer 12.
a. (ii) and (iii)
b. A is the amplitude and w is the angular frequency.

Amplitude is the maximum displacement of the oscillating particle on either side of its mean position. Thus Xmxv = + A Angular frequency is equal to the product of the frequency of the body and 27t.

Answer 13.
a. 3 cm
b.Fundamental mode (or) First harmonic If the string is plucked in the middle and released, then it vibrates ¡n one segment with nodes at its ends and an antinode in the middle.
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This is the lowest frequency with which string vibrates.

Second harmonic If the string is pressed in the middle and plucked at one-fourth of its length, then the string vibrates in two segments.
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Answer 14.
Uniformly.
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c. Displacement

Answer 15.
a. To avoid skidding and damage to tires of vehicles, the outer part of a road is slightly raised than the inner part. This is known as banking of roads.
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1. The weight of the car vertically downwards.
2. Normal reaction R acting normal to the road.
3. Frictional force acting parallel to the road. Since there is no vertical acceleration,
R cosθ = mg + Fsinθ
or Rcosθ Fsinθ = mg …(1)
Now for maximum speed, F = μ, R
The centripetal force is provided by horizontal components of R and F as shown in the figure.
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Answer 16.
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Answer 17.
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b. This theorem is good for flat bodies which means, thickness much less than length and breadth. The theorem states that “the moment of inertia of a planar body about an axis perpendicular to its plane is equal to the sum of moments of inertia about two mutually perpendicular axes passing through the same point, lying on the plane”. Moment of inertia about diameter can be found using perpendicular axis theorem.
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Answer 18.
a. Consider a nonviscous (no internal friction) and incompressible (density constant during flow) liquid flowing steadily between the sections P and R of a pipe of varying cross-section. Let the area of a cross section at P be A, and that at R be A2. Let the speed of fluid be v1 at P and v2 at R.
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As, m = volume × density = area of cross-section × length × density Mass of fluid that flows through P in time Δt, m1 = A1v1P1 Δt
Mass of fluid that flows through R in time At, m2 = A2V2P2 Δt
By conservation of mass, m1 = m2
A1v1P1 Δt = A2v2p2 Δt and P1 = p2 (incompressible fluid)
A1v1= A2v2
The product of the area of crosssection and the speed remains the same at all points of a tube of flow. This is called the equation of continuity and expresses the law of conservation of mass in fluid dynamics.
b. iii \(\frac { p\upsilon d }{ n } =Re\)

OR

a. When a clean capillary tube is dipped in a liquid, which wets it, the liquid immediately rises in the tube. This is called capillary rise.
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Consider a capillary tube of radius ripped vertically in a liquid of density p and surface tension a. The meniscus of the liquid inside the tube is concave. Thereby the liquid rises through the tube to some height. Let ‘ R’ be the radius of the meniscus, 0 be the angle of contact and h the height of the liquid column in the tube with respect to the level of a liquid outside.
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Here the hydrostatic pressure exerted by the liquid column becomes equal to the excess pressure p. Therefore at equilibrium, we have p = hpg
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b. iii. more height than that on earth

Plus One Physics Previous Year Question Papers and Answers

Plus One Physics Previous Year Question Paper 2018

Kerala Plus One Physics Previous Year Question Paper 2018

Time: 2 Hours
Cool off time: 15 Minutes
Maximum: 60 Scores

General Instructions to candidates

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time.
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read the instructions carefully.
  • Read questions carefully before you answering.
  • Calculations, figures, and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provided.
  • Give equations wherever necessary.
  • Electronic devices except non-programmable calculators are not allowed in the Examination Hall.

Plus One Physics Previous Year Question Papers and Answers 2018 1

Answer any four questions from question numbers 1 to 5. Each carries one score.
Plus One Physics Previous Year Question Papers and Answers 2018 2

Question 1.
The branch of Physics, that was developed to understand and improve the working of heat engines is …………
a. Optics
b. Thermodynamics
c. Electronics
d. Electrodynamics
Plus One Physics Previous Year Question Papers and Answers 2018 3

Question 2.
State the theorem of parallel axes on a moment of inertia.
Plus One Physics Previous Year Question Papers and Answers 2018 4

Question 3.
Select a TRUE statement from the following:
a. A year and light year have the same dimensions.
b. The intensity of the gravitational field has the same dimensions as that of acceleration.
c. One angstrom is the mean distance between sun and earth.
d. Parsec is a unit of time.
Plus One Physics Previous Year Question Papers and Answers 2018 5
Plus One Physics Previous Year Question Papers and Answers 2018 6

Question 4.
If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its …………….. energy.
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Question 5.
What is the time period of a second’s pendulum?
Plus One Physics Previous Year Question Papers and Answers 2018 8

Answer any five questions from question numbers 6 to 11. Each carries two scores.
Plus One Physics Previous Year Question Papers and Answers 2018 9

Question 6.
Using a suitable velocity-time graph, derive the relation x = v0t+ ½ at2.
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Question 7.
A boy throws a ball of mass 200 g with a velocity 20 ms-1 at an angle of 40° with the horizontal. What is the kinetic energy of the ball at the highest point of the trajectory?
Plus One Physics Previous Year Question Papers and Answers 2018 11

Question 8.
Write the work done in each of the following cases as zero, positive or negative.
a. Work was done by centripetal force in circular motion.
b. Work was done by friction.
c. Work was done by the gravitational force on a freely falling object.
d. Work was done by the applied force in lifting an object.
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Question 9.
Derive an It escapes velocity of an object from the surface of a planet.
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Question 10.
A typical stress-strain graph of a metallic wire is shown below.
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a. Write the name of the point B labeled in the graph.
b. For materials like copper, the points D and E are ………………. (close/far apart).
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Question 11.
The terminal velocity of a copper ball of radius 2.0 mm falling through a tank of oil at 20°C is 6.5 cm s-1. Calculate the viscosity of the oil at 20°C.
(Hints: Density of oil is 1.5 × 103 kg m-3, a density of copper is 8.9 × 10kg m-3.)
Plus One Physics Previous Year Question Papers and Answers 2018 17
Plus One Physics Previous Year Question Papers and Answers 2018 18

Answer any live questions from question numbers 12 to 17. Each carries three scores.
Plus One Physics Previous Year Question Papers and Answers 2018 19

Question 12.
A body falling under the effect of gravity is said to be in free fall.
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a. Draw the velocity-time graph for a freely falling object.
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b. Define uniform acceleration.
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c. From the given figures, identify the figure which represents uniformly accelerated motion.
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Question 13.
A gun moves backward when a shot is fired from it.
a. Choose the correct statement.
i. The momentum of the gun is greater than that of the shot.
ii. The momentum acquired by Jche gun and shot have the same magnitude.
iii. Gun and shot acquire the same amount of kinetic energy.
b. A shell of mass 0.020 kg is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 m/s, what is the recoil speed of the gun?
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Question 14.
Acceleration due to gravity decreases with depth.
a. Prove the above statement by deriving the proper equation.
b. Using the equation, show that acceleration due to gravity is maximum at the surface and zero at the center of the earth.
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Question 15.
A device used to lift automobiles is shown in the figure.
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a. Write the name of the device
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b. In the situation shown in the figure, a mass of the car is 3000 kg and area of the piston carrying it is 425cm2. What pressure is to be applied to the smaller piston?
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Question 16.
Based on the kinetic theory of gases, derive an expression for the pressure exerted by an ideal gas.
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Question 17.
When 0.15 kg of ice at 0°C is mixed with 0.30 kg of water at 50°C in a container, the resulting temperature is 6.7°C. Calculate the latent heat of fusion of ice. Given specific heat capacity of water 4186 J kg-1K-1.
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Answer any four questions from question numbers 18 to 22. Each carries four scores.
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Question 18.
The accuracy in measurement depends on the limit or the resolution of the measuring instrument.
a. State whether the above statement is TRUE or FALSE.
b. A physical quantity P is related to four observables a,b,c, and d as P= The percentage errors in measurements of a,b,c, and d are 1%, 3%, 2%, and 3% respectively. What is the percentage error in the measurement of P?
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Question 19.
A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed.
a. What is the angle between velocity and acceleration at any instant of motion?
b. If the stone makes 14 revolutions in 25 s,
what is the magnitude of the acceleration of the stone?
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Question 20.
a. If \(\xrightarrow { A }\) is perpendicular to \(\xrightarrow { B }\), what is the
value of \(\xrightarrow { A }\).\(\xrightarrow { B }\)?
b. Find the angle between the force \(\xrightarrow { F }\) = (\(3\hat { i }\) + \(4\hat { j }\) –\(5\hat { k }\))N and displacement \(\xrightarrow { d }\) = (\(5\hat { i }\) + \(4\hat { j }\) + \(3\hat { k }\))m.
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Plus One Physics Previous Year Question Papers and Answers 2018 36

Question 21.
Schematic diagram of a device is shown below.
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a. Write the equation for the efficiency of the device.
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b. Write the name of the four processes in the working cycle of the device
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c. If T1 =100°C, T= 0°C, and Q1 = 4200 J find the value of Q2
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Question 22.
a. Which one of the following relationships between the acceleration (a) and the displacement (x) of a particle involves simple harmonic motion?
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i. a = 0.7 x
ii. a = 200 x
iii. a = 10x
iv. a=100x
b. A simple harmonic motion is represented as x = A cost. Obtain the expression for velocity and acceleration of the object and hence prove that acceleration is directly proportional to the displacement.
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Answer any three questions from question numbers 23 to 26. Each carries five scores.
Plus One Physics Previous Year Question Papers and Answers 2018 43

Question 23.
a. What is the condition for the equilibrium of concurrent forces?
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b. A mass of 6 kg is suspended by a rope of length 2m from the ceiling. A force of 50 N in the horizontal direction is applied at the midpoint P of the rope, as shown. What is the angle, the rope makes with the vertical in equilibrium? (Take g=10 ms 2). Neglect the mass of the rope.
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c. What will be the angle made by the rope with the vertical if its length is doubled?
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Question 24.
a. Write the equation connecting torque with force.
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b. A meter stick is balanced at its cecenter50 cm). When two coins, each of mass 5 g, are put one on the top of the other at the 12 cm mark, it is found to be balanced at 45 cm. What is the mass of the stick?
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c. Derive the relation connecting torque with angular momentum.
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Question 25.
a. Water rises up in a narrow tube in spite of gravity. This phenomenon is called…
b. Derive an expression for the height of water in the tube in terms of the radius of the tube and surface tension of the liquid.
c. Water with detergent dissolved in it should have an angle of contact. (Small/large)
Plus One Physics Previous Year Question Papers and Answers 2018 50
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Question 26.
The fundamental mode of vibration of a stretched string is shown below.
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a. Draw the second and third harmonics.
b. Prove that frequencies produced in the string are in the ratio of 1: 2: 3.
c. Let the fundamental frequency is 45 Hz and the length of the wire is 87.5 cm. If the linear density of the wire is 4.0 × 102 kg/m. Find the tension in the string
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Answers

Answer 1.
Thermodynamics

Answer 2.
This theorem is good for any shape. The moment of inertia of the body about any axis is equal to the sum of a moment of inertia of a parallel axis passing through the center of mass and product of its mass of the body and square of the distance between the two parallel axes. I = Ig + Ma2

Answer 3.
b

Answer 4.
Kinetic energy

Answer 5.
T = 2sec

Answer 6.
Plus One Physics Previous Year Question Papers and Answers 2018 54
The area under the velocity-time graph gives the displacement of the body. Displacement, x = area OABD x = area of triangle ABC+ area of rectal
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Plus One Physics Previous Year Question Papers and Answers 2018 56

Answer 7.
At the top V = 0, Vx = ucosθ
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Answer 8.
a. Zero
b. Zero or negative ( 0 for static)
c. Positive
d. Positive

Answer 9.
The total work done to move a body of mass’m’ from the surface of the earth (r=R) to
infinity (r = ) is given by, \(W=\frac { GMm }{ R }\)
Let v be the velocity of the body, then K.E of the body, when projected, is K = 1/2 mv2 The body can escape from the gravitational pull of earth only if the KE is greater than or equal to the work done in overcoming the gravity.
Plus One Physics Previous Year Question Papers and Answers 2018 58

Answer 10.
a. Elastic limit or Yield point
b. Far apart (Copper is malleable)

Answer 11.
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Answer 12.
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b. Equal change in velocity in an equal time interval.
c. Fig(3)

Answer 13.
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Answer 14.
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Answer 15.
a. Hydraulic Lift
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Answer 16.
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Consider a gas contained in a cubical vessel of side 7 and volume V = B. Let there be ‘n’ molecules per unit volume of the gas, each of masses’. Hence the total mass of the gas in the vessel M = nm × v The molecules are having random velocities and since the motion is not under a force. Consider such a molecule moving with a velocity V along X-direction as shown in the figure. As it moves in the positive X-direction it undergoes elastic collision and is a bounce from the wall O’A’B’C’. The momentum of the molecule before collision = mv

Momentum after collision=mv (rebounding) Change in momentum= mv (mv) = 2mv Hence the change of momentum imparted to the wall = 2mv For this molecule to undergo the next collision with the same wall it has to travel a distance 2l. The time to travel this distance by the molecule is given by t = 2//v Number of collision per second with this wall =\(\frac { l }{ t }\) = \(\frac { l }{ 2l }\)
Plus One Physics Previous Year Question Papers and Answers 2018 01
According to Newton’s second law change in momentum per second = force on the wall. i.e., the thrust by 1 molecule. Taking all the ‘n’ molecules in a unit volume of the vessel, each will be travelling in x, y, z direction on the average. Let V1 V2, V3, ………… Vn be the velocities of n molecules. Then average value of velocity square is shown as below.
Plus One Physics Previous Year Question Papers and Answers 2018 65
where \(\vec { V }\) is called the root mean square velocity (rms velocity of the molecule), rms velocity of a gas molecule is defined as the square root of the mean of the squares of the velocities of the gas molecules. It is given by
Plus One Physics Previous Year Question Papers and Answers 2018 66
Plus One Physics Previous Year Question Papers and Answers 2018 67

Answer 17.
Plus One Physics Previous Year Question Papers and Answers 2018 68

Answer 18.
Plus One Physics Previous Year Question Papers and Answers 2018 69

Answer 19.
Plus One Physics Previous Year Question Papers and Answers 2018 70

Answer 20.
Plus One Physics Previous Year Question Papers and Answers 2018 71
Plus One Physics Previous Year Question Papers and Answers 2018 72

Answer 21.
Plus One Physics Previous Year Question Papers and Answers 2018 73
b. Isothermal expansion Adiabatic expansion Isothermal compression Adiabatic compression
Plus One Physics Previous Year Question Papers and Answers 2018 74

Answer 22.
Plus One Physics Previous Year Question Papers and Answers 2018 75

Answer 23.
a. Vector sum of all the forces = 0
Plus One Physics Previous Year Question Papers and Answers 2018 76
c. All the fores are independent of length (for massless string)
Plus One Physics Previous Year Question Papers and Answers 2018 77

Answer 24.
Plus One Physics Previous Year Question Papers and Answers 2018 78
Differentiating with respect to line
Plus One Physics Previous Year Question Papers and Answers 2018 79

Answer 25.
a. Cappilarity/Capillary rise
b. When a clean capillary tube is dipped in a liquid, which wets it, the liquid immediately rises in the tube. This is called capillary rise.
Plus One Physics Previous Year Question Papers and Answers 2018 80

Consider a capillary tube of radius rdip ped vertically in a liquid of density p and surface tension a. The meniscus of the liquid inside the tube is concave. Thereby the liquid rises through the tube to some heightLet ‘R’ be the radius of the meniscus, 0 be the angle of contact and h the height of the liquid column in the tube with respect to the level of liquid outside.
Plus One Physics Previous Year Question Papers and Answers 2018 81

Here the hydrostatic pressure exerted by the liquid column becomes equal to the excess pressure p. Therefore at equilibrium, we have
Plus One Physics Previous Year Question Papers and Answers 2018 82
Plus One Physics Previous Year Question Papers and Answers 2018 83
c. Small

Answer 26.
Plus One Physics Previous Year Question Papers and Answers 2018 84
In an open tube, both ends are open. At both ends, antinodes are formed. The mode of vibration of the open organ pipe are
Plus One Physics Previous Year Question Papers and Answers 2018 85

Plus One Physics Previous Year Question Papers and Answers

Plus One Maths Model Question Paper 4

Kerala Plus One Maths Model Question Paper 4

Time Allowed: 2 1/2 hours
Cool off time: 15 Minutes
Maximum Marks: 80

General Instructions to Candidates :

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time .
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read instructions carefully .
  • Read questions carefully before you answering.
  • Calculations, figures and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provided.
  • .Give equations wherever necessary.
  • Electronic devices except non programmable calculators are not allowed in the Examination Hall.

Plus One Maths Previous Year Question Papers and Answers

Questions 1 to 7 carry 3 scor each. Answer any 6.
Plus One Maths Model Question Papers Paper 4A

Question 1.
Consider the Venn-diagram given below.
Plus One Maths Model Question Papers Paper 4Q1

Question 2.
For any triangle ABC, prove that
Plus One Maths Model Question Papers Paper 4Q2

Question 3.
Consider the complex number z = 3 + 4i
a. Write the conjugate of z.
b. Verify that z z =|z|2
Plus One Maths Model Question Papers Paper 4Q3
Plus One Maths Model Question Papers Paper 4Q3.1

Question 4.
a. Solve the inequality
Plus One Maths Model Question Papers Paper 4Q4
b. Represent the solution in real line
Plus One Maths Model Question Papers Paper 4Q4.1

Question 5.
4 cards are drawn from a wellshuffled pack of 52 cards.
a. In how many ways can this be done?
b. In how many ways can this be done if all 4 cards are of the same colour?
Plus One Maths Model Question Papers Paper 4Q5

Question 6.
Consider the equation of the ellipse 9x2+ 4y2 = 36. Find
a. Focii
b. Eccentricity
c. Length of latus rectum
Plus One Maths Model Question Papers Paper 4Q6

Question 7.
Plus One Maths Model Question Papers Paper 4Q7

Questions from 8 to 17 carry 4 scor each. Answer any 8.
Plus One Maths Model Question Papers Paper 4B

Question 8.
Consider A = {x : x is an integer, 0 < x ≤ 3}
a. Write A in roster form.
b. Write the power set of A.
c. The number of proper subsets of A =
d. Write the number of possible relations from A to A.
Plus One Maths Model Question Papers Paper 4Q8

Question 9.
Consider the statement
Plus One Maths Model Question Papers Paper 4Q9
a. Show that P(1) is true.
b. Prove that P(n) is true for all n ∈ N using principle of mathematical induction.
Plus One Maths Model Question Papers Paper 4Q9.1

Question 10.
Consider the complex number, z =
\(\frac { 1 + 3i }{ 1 + 2 i}\)
a. Write z in the form a + ib.
b. Write z in polar form
Plus One Maths Model Question Papers Paper 4Q10
Plus One Maths Model Question Papers Paper 4Q10.1

Question 11.
Solve the following inequalities graphically
Plus One Maths Model Question Papers Paper 4Q11

Question 12.
a. How many 3 letter words with or without meaning can be formed using 26 letters in English alphabet, if no letter is repeated?
b. Find the number of permutations of letters of the word MATHEMATICS
c. How many of them begin with the letter C?
Plus One Maths Model Question Papers Paper 4Q12

Question 13.
Consider the figure given below. A (3, 0) and B (0, 2) are two points on axes. The line OP is perpendicular to AB.
Plus One Maths Model Question Papers Paper 4Q13
a. Find the slope of OP.
b. Find the co-ordinates of the point P.
Plus One Maths Model Question Papers Paper 4Q13.1

Question 14.
Equation of the parabola given in the figures is y= 8x.
Plus One Maths Model Question Papers Paper 4Q14
a. Find the focus and length of latus rectum of the parabola.
b. The latus rectum of the parabola is a chord to the circle centered at origin as shown in the figure. Find the equation of the circle.
Plus One Maths Model Question Papers Paper 4Q14.1

Question 15.
Let L be the line x – 2y+3 = 0.
a. Find the equation of the line L1 which is parallel to L and passing through (1, -2).
b. Find the distance between L and L2.
c. Write the equation of another line L2 which is parallel to L, such that the distance from origin to L and L2 are the same.
Plus One Maths Model Question Papers Paper 4Q15

Question 16.
Consider the points A (3, 2, 01).
a. Write the octant in which A belongs to
b. If B (1, 2, 3) is another point in space, find distance between A and B.
c. Find the coordinates of the point R which divides AB in the ratio 1 : 2 internally.
Plus One Maths Model Question Papers Paper 4Q16

Question 17.
a. Write the contrapositive of the statement:
P : If a triangle is equilateral, then it is isosceles.
b. Prove by the method of contradiction ‘ √3 is irrational’
Plus One Maths Model Question Papers Paper 4Q17

Questions from 18 to 24 carry 6 score each. Answer any 5.
Plus One Maths Model Question Papers Paper 4C

Question 18.
a. If A = {a, b} write A x A x A
b. If R = {(x,x3) : x is a prime number, less than 10}. Write R in roster form.
c. Find the domain and range of the function f (x) = 2+ √x-1
Plus One Maths Model Question Papers Paper 4Q18

Question 19.
a. The minute hand of a watch is 3 cm long. How far does its tip move in 40 minutes? (Use π = 3.14).
b. Solve the trigonometric equation sin 2x-sin 4x + sin 6x = 0.
Plus One Maths Model Question Papers Paper 4Q19

Question 20.
a. Find the sum of all 3 digit numbers which are multiples of 5.
b. How many terms of the GP 3, 32, 33, …. are needed to give the sum 120?
c. Find the sum of first n terms of the series whose n* term is n(n + 3).
Plus One Maths Model Question Papers Paper 4Q20

Question 21.
a. Expand using binomial theorem,
b. Find (a+b)4 – (a-b)4
c. Hence find (√3 + √2)4 -(√3-√2)4
Plus One Maths Model Question Papers Paper 4Q21
Plus One Maths Model Question Papers Paper 4Q21.1

Question 22.
a. Find the derivative of the function y = 1/x from first principles.
b. Differentiate f(x) = ,\(\frac { cos x }{ 1 + sinx }\)
with respect to x.

Question 23.
Calculate the mean deviation about median for the following data.
Plus One Maths Model Question Papers Paper 4Q23

Question 24.
Consider a bag containing 3 red balls R1, R2, R3 and 2 black balls B1, B2, which are identical. 2 balls are drawn simultaneously at random from the bag.
a. Write the sample space of the random experiment.
b. Write the event
A : Both balls are red B : One is red and one is black
c. Show that A and B are mutually exclusive
d. Find P(A) and P(B)
Plus One Maths Model Question Papers Paper 4Q24
Plus One Maths Model Question Papers Paper 4Q24.1

Answers

Answer 1.
a. A’= {5, 6, 7, 8, 9}
B’= {1, 2, 7, 8, 9}
(A ∩ B)’ = {l,2,5,6, 7, 8, 9}
b. LHS = (A ∩ B)’ = {1,2, 5, 6, 7, 8,9}
RHS=A’∪B’= {1,2, 5, 6, 7, 8, 9}
∴(A∩B)’= A’∪B’

Answer 2.
Plus One Maths Model Question Papers Paper 4A2

Answer 3.
a. conjugate of z = 3 + 4i = 3 – 4i
b. z  = (3+4i) (3-4i) = 9 – 16i2 = 9 – (-16) = 25
\({ \left| z \right| }^{ 2 }={ \left( \sqrt { { 3 }^{ 2 }+{ 4 }^{ 2 } } \right) }^{ 2 }={ \left( \sqrt { 25 } \right) }^{ 2 }=25\)
\(\Rightarrow z=\bar { z } ={ \left| z \right| }^{ 2 }\)

Answer 4.
Plus One Maths Model Question Papers Paper 4A4

Answer 5.
a. No. of ways = 52C4 = 270725
b. No. of ways of all cards of the same colour = 26C4+26C4 = 2 x 26C4 = 29900

Answer 6.
The standard form of the ellipse is \({ x }^{ 2 }+{ y }^{ 2 }\) = 1, is an ellipse whose major axis is on the y-axis.
a = 3, b = 2
c = \(\sqrt { { a }^{ 2 }-{ b }^{ 2 } } \) = \(\sqrt { 9-4 } \) = √5
a. Focii = (0, ± c) = (0, +√5)
b. Eccentricity = c/a = √5/3
c. Length of latus rectum = \(\frac { { 2b }^{ 2 } }{ a } =\frac { { 2\times 2 }^{ 2 } }{ 3 } =\frac { 8 }{ 3 } \)

Answer 7.
Plus One Maths Model Question Papers Paper 4A7

Answer 8.
a. A = {1, 2, 3}
b. Power set of A = P(A)={ 1,2,3}, {1,2}, {1,3}, {2,3}, {1}, {2}, {3}, φ}
c. No. of proper subject of A = 2n-1 = 23-1 = 7
d. No. of relations from A to A = 2mxm=23×3 = 512

Answer 9.
Plus One Maths Model Question Papers Paper 4A9

Answer 10.
Plus One Maths Model Question Papers Paper 4A10
Plus One Maths Model Question Papers Paper 4A10.1

Answer 11.
Plus One Maths Model Question Papers Paper 4A11

Answer 12.
a. No. of words = 26P3 = 15600
b. The word MATHEMATICS has
Plus One Maths Model Question Papers Paper 4A12
c. If the letter C is fixed first, the remaining 10 letters can be permuted as
Plus One Maths Model Question Papers Paper 4A12.1

Answer 13.
a. Slope of OP
Plus One Maths Model Question Papers Paper 4A13
b. Equation of OP is
Plus One Maths Model Question Papers Paper 4A13.1

Answer 14.
Equation of parabola is y2 = 8x ⇒ a = 2
a. Focus = (a, 0) = (2, 0)
Length of latus rectum = 4a = 4 x 2 = 8
b. Coordinates of A is (a, -2a) = (2, -4) and that of B iss (1, 2a) = (2, 4)
∴ Radius of the circle
Plus One Maths Model Question Papers Paper 4A14

Answer 15.
a. Equation of L is x-2y + 3 = 0
Plus One Maths Model Question Papers Paper 4A15
its given that distance from origin to L and L2 are same. We have,
Plus One Maths Model Question Papers Paper 4A15.1

Answer 16.
Plus One Maths Model Question Papers Paper 4A16

Answer 17.
a. Contrapositive statement: If a triangle is not isosceles, then it is not equilateral.
b. Let us assume that √3 be rational ∴√3 = a/b, where a and b are co-prime, i.e., a and b have no common factors othe than 1.
3b2 = a2 ⇒ 3 divides a.
∴ there exists an integer ‘k’ such that a = 3k
∴ a= 9k2 ⇒ 3b= 9k2 ⇒b= 3k⇒3divides b.
i.e., 3 divides both a and b, which is contradiction to our assumption that a and b have no common factor.
∴ our supposition is wrong.

Answer 18.
a. Ax Ax A={(a, a, a), (a, a, b), (a, b, a),
(a, b, b), (b, a, a), (b, a, b), (b, b, a), (b, b, b)}
b. R = {(2, 8), (3, 27), (5, 125), (7, 343)}
c. Domain=[1, ∞ ),{x/x ≥ 1}
Range = [2,∞), {y/y ≥ 2}

Answer 19.
a. The required distance moved
Plus One Maths Model Question Papers Paper 4A19
Plus One Maths Model Question Papers Paper 4A19.1

Answer 20.
Plus One Maths Model Question Papers Paper 4A20

Answer 21.
Plus One Maths Model Question Papers Paper 4A21
Plus One Maths Model Question Papers Paper 4A21.1

Answer 22.
Plus One Maths Model Question Papers Paper 4A22

Answer 23.
Plus One Maths Model Question Papers Paper 4A23
Plus One Maths Model Question Papers Paper 4A23.1

Answer 24.
Plus One Maths Model Question Papers Paper 4A24

Plus One Maths Previous Year Question Papers and Answers

Plus One Maths Model Question Paper 2

Kerala Plus One Maths Model Question Paper 2

Time Allowed: 2 1/2 hours
Cool off time: 15 Minutes
Maximum Marks: 80

General Instructions to Candidates :

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time .
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read instructions carefully .
  • Read questions carefully before you answering.
  • Calculations, figures and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provided.
  • .Give equations wherever necessary.
  • Electronic devices except non programmable calculators are not allowed in the Examination Hall.

Plus One Maths Previous Year Question Papers and Answers

Answer any six from question numbers 1 to 7. Each carries three scores.
Plus One Maths Model Question Papers Paper 2A

Question 1.
Find 7+ 77 + 777 + 7777 +…. to n terms.
Plus One Maths Model Question Papers Paper 2Q1

Question 2.
Plus One Maths Model Question Papers Paper 2Q2

Question 3.
a. If A and B are two events in a random experiment, then
P(A) + P(B) – P(A ∩ B)
b. Given P(A) = 0.5, P(B) = 0.6 and P
(A ∩ B) = 0.3. Find P( A ∪ B) and P(A’).
Plus One Maths Model Question Papers Paper 2Q3

Question 4.
Let A = {x:x is an integer, 1/2 < x < 7/2}
B = {2, 3, 4}
a. Write A in the roster form.
b. Find the power set of (A ∪ B)
c. Verify that (A – B )∪ (A ∩ B)=A
Plus One Maths Model Question Papers Paper 2Q4

Question 5.
(i) Find the value of sin
\(\left( \frac { 3l\pi }{ 3 } \right) \)
(ii) Find the principal and general solutions of the equation cosx =
\(\frac { -\sqrt { 3 } }{ 2 } \)
Plus One Maths Model Question Papers Paper 2Q5

Question 6.
A committee of 3 persons is to be constituted from a group of 2 men and 3 women.
a. In how many ways can this be done?
b. How many of these committees would consist of 1 man and 2 women.
Plus One Maths Model Question Papers Paper 2Q6

Question 7.
a. Which one of the following points lies in the sixth octant?
i. (-4, 2, -5)
ii. (-4, -2, -5)
iii. (4, -2, -5)
iv. (4, 2, 5)
b. Find the ratio in which the YZ plane divides the line segment formed by joining the points (-2, 4, 7) and (3, -5, 8).
Plus One Maths Model Question Papers Paper 2Q7

Answer any six from question numbers 8 to 17. Each carries four scores.
Plus One Maths Model Question Papers Paper 2B

Question 8.
Consider the following statement :
Plus One Maths Model Question Papers Paper 2Q8
a. Prove that P(1) is true.
b. Hence by using the principle of mathematical induction, prove that P(n) is true for all natural numbers n.
Plus One Maths Model Question Papers Paper 2Q8.1

Question 9.
a. Write the negation of the statement: “Every natural number is greater than zero”
b. Verify by the method of contradiction : “P : √13 is irrational”
Plus One Maths Model Question Papers Paper 2Q9

Question 10.
a. The 8th term in the expansion of (√2+√3)
is
i. 27 √2
ii. 27 √3
iii. 72 √2
iv. 72 √3
b. Find the term independent of x in the expansion of
Plus One Maths Model Question Papers Paper 2Q10
Plus One Maths Model Question Papers Paper 2Q10.1

Question 11.
a. In a random experiment, 6 coins are tossed simultaneously. Write the number of sample points in the sample space.
Plus One Maths Model Question Papers Paper 2Q11
b. Given that P(A’)=0.5. P(B) = 0.6, P
(A ∩ B) = 0.3. Find P(A’) , P(A ∪ B), P(A ∩ B)and P(A ∪ B).
Plus One Maths Model Question Papers Paper 2Q11.1

Question 12.
Let U={1,2, 3, 4, 5, 6, 7, 8, 9}, A= {1, 2, 4, 7} and B = {1, 3, 5, 7}
a. Find A ∪ B.
b. Find A’, B’ and hence show that (A ∪B)’ = (A’∩ B’)
c. The power set P(A ∪ B) has elements.
Plus One Maths Model Question Papers Paper 2Q12

Question 13.
a. Let A= {7, 8} and B = {5, 4, 2} Find A x B.
b. Determine the domain and range of the
relation R defined by R = {(x, y): y = x + 1, x ∈ {0, 1,2, 3,4, 5}}
Plus One Maths Model Question Papers Paper 2Q13

Question 14.
a. Find the distance between the points (2,-1, 3) and (-2, 1, 3)
b. Find the co-ordinates of the point which divides the line segment joining the points
(-2, 3, 5) and (1, -4,6) internally in the ratio of 2:3.
Plus One Maths Model Question Papers Paper 2Q14

Question 15. A hyperbola whose transverse axis is X – axis, center (0,0) and the foci (±√10,0) passes through the point (3, 2)
a. Find the equation of the hyperbola.
b. Find its eccentricity.
Plus One Maths Model Question Papers Paper 2Q15

Question 16.
a. Solve for the natural number n;
12. (n+1) p3 =5. (n+1) p3
b. In how many ways can 7 athletes be chosen out of 12?
Plus One Maths Model Question Papers Paper 2Q16

Question 17.
Consider the statement: “n(n +1) (2n + 1) is divisible by 6”
a. Verify the statement for n = 2.
b. By assuming that P(k) is true for a natural number k, verify that P(k + 1) is true.
Plus One Maths Model Question Papers Paper 2Q17

Answer any five from question numbers 18 to 24. Each carries six scores.
Plus One Maths Model Question Papers Paper 2C

Question 18.
a. Match the following:
Plus One Maths Model Question Papers Paper 2Q18
b. Find the derivatives of tan x using the first principles.
Plus One Maths Model Question Papers Paper 2Q18.1

Question 19.
a. Find the equation of the line passing through the points (3, -2) and (-1,4).
b. Reduce the equation √3x + y – 8 = 0 into normal form.
c. If the angle between two lines is π/4 and slope of the line is 1/2, find the slope of the other line.
Plus One Maths Model Question Papers Paper 2Q19

Question 20.
a. If x is the mean and c is the standard deviation of a distribution, then the coefficient of variation is……..
Plus One Maths Model Question Papers Paper 2Q20
b. Find the standard deviation for the following data:
xi : 3   8    13    18    23
f:  7   10  15    10    6
Plus One Maths Model Question Papers Paper 2Q20.1

Question 21.
a. Which one of the following pair of a. Which one of the following pair of straight lines are parallel?
i. x – 2xy-4 = 0; 2x – 3y – 4 = 0
ii. x – 2y – 4 = 0; x – 2y – 5 = 0
iii. 2x – 3y – 8=0; 3x – 3y – 8 = 0
iv. 2x – 3y – 8 = 0; 3x – 2y – 8 = 0
b. Equation of a straight line is 3x – 4y + 10 = 0.Convert it into the intercept form and write the x-intercept and y-intercept.
c. Find the equation of the line perpen dicular to the line x – 7y + 5 = 0 and having x-intercept 3.
Plus One Maths Model Question Papers Paper 2Q21
Plus One Maths Model Question Papers Paper 2Q21.1

Question 22.
a. If (x+1, y-2) = (3,1), write the values of x and y.
b. Let A={ 1, 2, 3, 4, 5} and B={4, 6, 9} be two sets. Define a relation R from A to B by R={(x, y): x-y is a positive integer}. Find A X B and hence write R in the Roster form.
c. Define the modulus function. What is its domain? Draw a rough sketch.
Plus One Maths Model Question Papers Paper 2Q22

Question 23.
a. Which among the following is the interval corresponding to the inequality -2 < x ≤ 3 ?
i. [-2, 3]
ii. [-2, 3)
iii. (-2, 3]
iv. (-2, 3)
b. Solve the following inequalities graphically
2x + y ≥ 4
x + y ≤ 3
2x – 3y ≤ 6
Plus One Maths Model Question Papers Paper 2Q23

Question 24.
a. In how many ways can the letters of the word, PERMUTATIONS be arranged if:
i. the words start with P and end with S?
ii. there are always 4 letters between P and S?
b. In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together.
c. How many chords can be drawn through 21 points?

Answers

Plus One Maths Model Question Papers Paper 2Q24

Answer 1.
Plus One Maths Model Question Papers Paper 2A1

Answer 2.
Plus One Maths Model Question Papers Paper 2A2

Answer 3.
a. P(A) + P(B) – P (A ∩ B) = P (A ∪ B)
b. P(A ∪ B) = P(A) + P(B) – P (A ∩ B)
= 0.5+ 0.6=0.3 = 1.1-0.3 = 0.8
P(A)’= 1- P (A) = 1-0.5 = 0.5

Answer 4.
a. Let A = {1, 2,3}
b. A ∪ B = {1, 2, 3,4}
P(A ∪ B)= {1}, {2}, {3}, {4},
{1, 2}, {1, 3}, {1, 4}, {2, 3},
{2, 4}, {3, 4}, {1, 2 ,3}, {1, 2, 4},
{2, 3,4}, {1,3,4}, {1,2, 3, 4},
{(j)} = 24 = 16 elements
c. A-B= {l}, A ∩ B = {2, 3}
(A – B) ∪ (A ∩ B) = {1, 2, 3} = A

Answer 5.
Plus One Maths Model Question Papers Paper 2A5

Answer 6.
a. Required number of ways = 5C3 = 10
b. Number of committees =
2C1 x 3C2 = 2 x 3 = 6

Answer 7.
a. i. (-4, 2,-5)
b. Let YZ plane divides the line joining the points A (-2, 4, 7) and B (3, -5, 8) at R (x, y, z) in the ratio k: 1.
Then x coordinates of R = 0.
Plus One Maths Model Question Papers Paper 2A7

Answer 8.
Plus One Maths Model Question Papers Paper 2A8

Answer 9.
a. Let p : “Every natural number is greater than zero”. ~p: “ Every natural number is not greater than zero”.
b. Let us assume that √13 is a rational number.√13=a/b, where a and b are co-pnme, i.e., a and b have no common factors, which implies that 13b2= a2 ⇒ 13 divides a. There exists an integer ‘k’ such that a= 13k a2= 169 k2 ⇒ 13b2= 169k2 ⇒ 13k2 ⇒ 13 divides b.
i.e., 13 dvides both a and b, which is contradiction to our assumption that a and b have no common factor. ∴ Our supposition is wrong. ∴ √13 is an irrational number.

Answer 10.
Plus One Maths Model Question Papers Paper 2A10

Answer 11.
a. 26
b. P(A) = 0.5; P(B) = 0.6; P(A ∩ B) = 0.3
P(A’ ) = 1 – P(A) = 1 – 0.5 = 0.5
P(A ∪ B)=P(A)+P(B)-P(A ∩ B)
= 0.5 + 0.6 – 0.3 = 0.8
P( A ∩ B)=l-P P(A ∪ B)= 1-0.8 = 0.2
P(A ∪ B)=l-P(A ∩ B)= 1-0.3 =0.7

Answer 12.
U = {1,2, 3, 4, 5,7},
A = {1,2, 4, 7} and B = {1,3, 5, 7}
a. A ∪ B = {1,2, 3, 4, 5, 7}
b. A’ = {3, 5, 6, 8, 9}
B’ = {2, 4, 6, 8, 9}
A ∪ B = {1,2, 3, 4, 5, 7}
(A ∪ B)’ = {6, 8, 9}
A’∩ B’ = {6, 8, 9},
So (A ∪ B)’ = A’∩B’
c. The power set P(A ∪B) has 26 or 64 elements.

Answer 13.
a. A = {7, 8} and B = {5, 4, 2}
A x B = {(7, 5), (7, 4), (7,2), (8, 5), (8, 4), (8, 2)}
b. Domain = {0,1, 2, 3, 4, 5}
Range = {1,2, 3, 4, 5, 6}
R = {(0,1). (1, 2), (2, 3), (3, 4),(4, 5), (5, 6)}

Answer 14.
Plus One Maths Model Question Papers Paper 2A14

Answer 15.
Equation of hyperbola is
Plus One Maths Model Question Papers Paper 2A15

Answer 16.
Plus One Maths Model Question Papers Paper 2A16

Answer 17.
a. When n = 2,
2 (2+1) (2×2 + 1) = 2 x 3 x 5 = 30 is divisible by 6
b. P(k) = k(k + l)(2k + 1) is divisible by 6
P (k + 1) = (k + l)(k + 2) (2k + 1)
+ (k + 1) (k + 2)2 = (k + 1) (2k +1) k + (k + 1)
(2k + 1) x 2 + (k + 1) (k + 2)
= k (k + 1) (2k + 1) + 2 (k + 1)
[2k + 1 + k + 2]
= k (k + 1) (2k + 1) + 6(k + 1)2
is divisible by 6
∴ P(k + 1) is true

Answer 18.
Plus One Maths Model Question Papers Paper 2A18
Plus One Maths Model Question Papers Paper 2A18.1

Answer 19.
Plus One Maths Model Question Papers Paper 2A19
Plus One Maths Model Question Papers Paper 2A19.1

Answer 20.
Plus One Maths Model Question Papers Paper 2A20

Answer 21.
a. ii. x-2y-4 = 0; x-2y – 5 = 0
b. 3x – 4y + 10 = 0; 3x – 4y = -10
Plus One Maths Model Question Papers Paper 2A21
c. Slope of the given line is
\(\frac { -A }{ B } =-\frac { 1 }{ -7 } =\frac { 1 }{ 7 } \)
Slope of the required line is -7
Given x intercept of the required line is 3, the point is (3,0).
Hence equation of the required line is
y – 0= -7 (x – 3); y + 7x = 21 or 7x + y – 21 = 0

Answer 22.
a. (x+1, y-2) = (3, 1) x+l=3; x=2 y-2 = i; y=3
b. AxB = { (1,4),( 1,6),( 1,9), (2,4), (2,6), (2,9),(3,4),
(3,6), (3,9), (4,4), (4,6) ,(4,9), (5,4), (5,6), (5,9)}
R = {(5,4)}
c. A real function R is to be a modulus function, if f (x) = | x |, x ∈ R, is known as modulus function.
Plus One Maths Model Question Papers Paper 2A22

Answer 23.
a. ii (-2, 3)
b. 2x + y = 4
Plus One Maths Model Question Papers Paper 2A23
Solution region:
2x + y ≥ 4
⇒ 0 ≥ 4, which is false. || by putting x = 0, y = 0
Hence shade the half plane, which does not contain the origin. x + y < 3
⇒ 0 ≥ 3, which is true.
Hence shade the half plane, which contains the origin.
2x – 3y < 6
⇒ 0 ≤ 6, which is true.
Hence shade the half plane, which contains the origin. The common region shown in the figure ’ is the solution region.

Answer 24.
a. i. When word start with P and end with S, then there are 10 letters to be arranged of which T appears two times.
Plus One Maths Model Question Papers Paper 2A24
ii. When there are always 4 letters between P & S
P & S can be at
1st and 6th place
2nd and 7th place
3rd and 8th place
4th and 9th place
5th and 10th place
6th and 11th place
7th and 12th place
So, P & S will placed in 7 ways & can be arranged in 7 x 2 ! = 14
The remaining 10 letters with 2T’s 10!
can be arranged in\(\frac { 10i }{ 2i } \)=1814400 ways
The required number of arrangements = 14 x 1814400 = 25401600
b. Can be done in 5 ! ways, such that xGxGxGxGxGx
where G represents the seats for girls and cross mark represents the seats for boys = Total number of ways
Plus One Maths Model Question Papers Paper 2A24.1

Plus One Maths Previous Year Question Papers and Answers

Plus One Maths Model Question Paper 1

Kerala Plus One Maths Model Question Paper 1

Time Allowed: 2 1/2 hours
Cool off time: 15 Minutes
Maximum Marks: 80

General Instructions to Candidates :

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time .
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read instructions carefully .
  • Read questions carefully before you answering.
  • Calculations, figures and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provided.
  • .Give equations wherever necessary.
  • Electronic devices except non programmable calculators are not allowed in the Examination Hall.

Plus One Maths Previous Year Question Papers and Answers

Questions 1 to 7 carry 3 score each. Answer any 6.
Plus One Maths Model Question Papers Paper 1A
Question 1.
Write the set \(\left\{ \frac { 1 }{ 2 } ,\frac { 2 }{ 3 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 5 } ,\frac { 5 }{ 6 } ,\frac { 6 }{ 7 } \right\} \) r in the set- builder form.
a. If A and B are two sets such that A ⊂ B , then what is A ∪ B
b. There are 200 individuals with a skin disorder, 120 had been exposed to the chemical C1 50 to the chemical C2, and 30 to both the chemicals C1 and C2. Find the number of individuals exposed to Chemical C1 but not chemical C2.
Plus One Maths Model Question Papers Paper 1Q1

Question 2.
A lamp post is situated at the middle point M of the side AC of a triangular plot ABC with BC=7m CA = 8m, AB = 9m. Lamp post subtends an angle 15° at the poiny B. Determine the height of the lamp post.
Plus One Maths Model Question Papers Paper 1Q2
Plus One Maths Model Question Papers Paper 1Q2.1

Question 3.
Find square root of the complex number 8- i6.
Plus One Maths Model Question Papers Paper 1Q3

Question 4.
Arathi took 3 examinations in an year. The marks obtained by her in the second and third examinations are more than 5 and 10 respectively than in the first examination. If her average mark is at least 80 find the minimum mark that she should get in the first examination?
Plus One Maths Model Question Papers Paper 1Q4

Question 5.
a. A die is thrown until a six comes up. Write down the sample space for this experiment.
b. What is the probability of getting a doublet in throws of a pair of dice.
Plus One Maths Model Question Papers Paper 1Q5

Question 6.
(a) A hyperbola with a = b is known as…………..

A. rectangular hyperbola
B. isosceles hyperbola
C. equilateral hyperbola
D. None of these

(b) Find the equation of an ellipse whose length of major axis is 26 and foci (± 5, 6)
Plus One Maths Model Question Papers Paper 1Q6

Question 7.
Plus One Maths Model Question Papers Paper 1Q7

Questions from 8 to 17 carry 4 score each. Answer any 8.
Plus One Maths Model Question Papers Paper 1B

Question 8.
Plus One Maths Model Question Papers Paper 1Q8

Question 9.
Let P(n) be the statement : 13 + 23 + 33 +………+n3
 \(={ \left[ \frac { n(n+1) }{ 2 } \right] }^{ 2 }\)
a.Verify whether the statement is true for n = 1
b. Prove the result by using mathematical induction
Plus One Maths Model Question Papers Paper 1Q9
Plus One Maths Model Question Papers Paper 1Q9.1

Question 10.
a. Express (5 – 3i)3 in the form a + ib
b. Solve the equation -x+ x – 2 = 0
Plus One Maths Model Question Papers Paper 1Q10

Question 11.
Solve the folowing linear inequalities graphically:
Plus One Maths Model Question Papers Paper 1Q11

Question 12.
a. How many 3 digit even number can be formed form the digits 1,2,3,4,5 and 6, if the digits can be repeated?
b. In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
Plus One Maths Model Question Papers Paper 1Q12

Question 13.
a. The base of an equilateral triangle with side 2 a lies along they-axis such that the mid-point of the base is at the origin. Find vertices of the triangle….
b. Find the equation of the line passing through (-3, 5) and perpendicular to the line through the points (2, 5) and (-3, 6)
Plus One Maths Model Question Papers Paper 1Q13

Question 14.
a. find the centere and radius of the circle x2+ y– 8x + 10y – 12 = 0
b. Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.
Plus One Maths Model Question Papers Paper 1Q14

Question 15.
a. If p is the length of perpendicular from the origin to the line whose intercepts on the exes are a and b, then show that
Plus One Maths Model Question Papers Paper 1Q15
b. If the lines 2x + y-3=0, 5x + ky -3=0 and 3x – y-2=0 are concurrent, find the value of k.
Plus One Maths Model Question Papers Paper 1Q15.1
Plus One Maths Model Question Papers Paper 1Q15.2

Question 16.
a. Find the octant in which the points (-3,1,2) and (-3,1,-2) lie.
b. Find the coordinates of a point on y-axis which are a distance of 5√2 from the point P (3,-2,5)
Plus One Maths Model Question Papers Paper 1Q16

Question 17.
a. Write the negation of the following statement: If you do all the exercises in this book, you get an A grade in the class,
b. Verify by the method of contradiction, p: √2 is irrational.
Plus One Maths Model Question Papers Paper 1Q17

Questions from 18 to 24 carry 6 score each. Answer any 5.
Plus One Maths Model Question Papers Paper 1C

Question 18.
a. Draw the graph of the function f: R→ R defined by f(x) = xx ∈ R
b. If set A has 2 elements and set B has 3 elements, then the number of function from A to B is
(i) 64
(ii) 6
(iii) 9
(iv) 8
Plus One Maths Model Question Papers Paper 1Q18
Plus One Maths Model Question Papers Paper 1Q18.1

Question 19.
a. If sec x = 13/5, x lies in fourth quadrant, find other t-functions.
b. Prove that show that tan 3x tan 2x tan x = tan 3x – tan 2x – tan x
c. Find the value of tan π/8
Plus One Maths Model Question Papers Paper 1Q19

Question 20.
a. Find the sum of the sequence 7, 77, 777,  7777, ………….. to n terms.
b. Find the sum of first n terms of the series: 3 12 + 5 x 22 + 7 x 32+…….
Plus One Maths Model Question Papers Paper 1Q20

Question 21.
a. Find the middle term in the expansion of
Plus One Maths Model Question Papers Paper 1Q21
b. Find the term independent in the expansion of
Plus One Maths Model Question Papers Paper 1Q21.1
Plus One Maths Model Question Papers Paper 1Q21.2
Plus One Maths Model Question Papers Paper 1Q21.3

Question 22.
a. Find the derivative of x sin x form first principles.
Plus One Maths Model Question Papers Paper 1Q22

Question 23.
a. Find mean deviation about median for the following data.
Plus One Maths Model Question Papers Paper 1Q23
b. Calculate mean, variance and standard deviation of the following distribution:
Plus One Maths Model Question Papers Paper 1Q23.1

Question 24.
Four cards are drawn from a well shuffled pack of 52 cards. Find the probability that it contains
a. all aces
b. atmost 2 aces
c. atleast two aces
Plus One Maths Model Question Papers Paper 1Q24

Answers

Answer 1.
Plus One Maths Model Question Papers Paper 1A1

Answer 2.
Plus One Maths Model Question Papers Paper 1A2

Answer 3.
– 15 – 8i
Let \(\sqrt { 8-6i } \) = x + iy……….. (1)
Squaring we have,
8 – i6=(x + iy)2 = x2 + i2xy + i2y2 = (x– y2)  +i2xy
Equating the real and imaginary parts, we have
x– y2= 8 ………….. (2)
2xy = – 6 ……………….. (3)
We know that (x+ y2)2
= (x– y2)2 + 4xy2
= (8)2+(-6)2= 64+36 = 100
∴ x+ y= 4m = √100 = 10 ………….. (4)
(2) + (4) we have,
x2 -y = 8 x2 + y= 10 2x2 = 18
x2 = 9 ⇒ x = ± 3
In (4), we have, 32+y2=10 ⇒ y2
=10 – 9 = 1 ⇒ y = ± 1
Since 2xy = -6,
When x = 3, y = -1 and when x = -3, y = 1
3-i and -3 + i are the square roots.

Answer 4.
Let the mark in the first exam = x
Mark in the second exam = x+5
Mark in the third exam = x + 10 x + x + 5 + x + 10.
Plus One Maths Model Question Papers Paper 1A4
x >75
Minimum mark Arathi should get in the first exam = 75.

Answer 5.
a. s = {6,(1,6),(1, 1, 6),….,(2, 6),(2, 1, 6),…. }
b. n (s) = 36
doublets are (1,1), (2,2), (3,3),
(4,4),(5,5) and (6,6)
∴ P (getting a doublet) =  \(\frac { 6 }{ 36 } \) = \(\frac { 1 }{ 6 } \)

Answer 6.
a. C.
b. 2a = 26 => a = 13
foci = (±5,0) => c = 5
But c2 = a2– b2 ⇒ b=a– c= 132-5= 144
Plus One Maths Model Question Papers Paper 1A6

Answer 7.
Plus One Maths Model Question Papers Paper 1A7

Answer 8.
Plus One Maths Model Question Papers Paper 1A8
Plus One Maths Model Question Papers Paper 1A8.1

Answer 9.
Plus One Maths Model Question Papers Paper 1A9
Plus One Maths Model Question Papers Paper 1A9.1

Answer 10.
a. (5 – 3i)= 5– 3 x 52(3i)+3 x 5(3i)2– (3i)3
= 125 – 225i+ 135i2 – 21 i3
= 125 – 225i+ 135(-1)-27(-i)
= 125 – 225i – 135 + 27i
= -10 – 198i
b. -x+ x + 2 = 0
a = 1 ; b = 1 ; c = 2
D = b2 – 4ac = (1)2 – 4 (-1) (2)
= 1 – 8 = -7 < 0
Plus One Maths Model Question Papers Paper 1A10

Answer 11.
Plus One Maths Model Question Papers Paper 1A11
The shaded region is the solution region.

Answer 12.
a. Here unit place can filled in three ways (i.e. by 2, 4, 6), whereas tens and hundred place can be filled in 6 ways.
b. Out of available nine courses, two are compulsory, Hence the student is free select 3 courses out of 7 remaining courses. Then the number if ways of selecting courses out of 7 courses
Plus One Maths Model Question Papers Paper 1A12

Answer 13.
(a) Let ABC be the given equilateral triangle with side 2a. Assume that base BC lies along the y-axis such that the mid-point of BC is at the origin. i.e., BO = OC = a, where O is the origin Now, it is clear that the coordinates of point B are (-a, 0) and C are (a,0), while the coordinates of point. Using Pythagoras theorem to ΔAOC, we obtain
AC2 = OA2 + OC(2a)2
= OA2+ a2 4a2– a2 = OA2
⇒ OA=3a2 ⇒ OA = √3a
Plus One Maths Model Question Papers Paper 1A13
∴ co-ordinates of A are (±√3a ,0). Thus, the vertices of the given equilat­eral triangle are (0, a),(0,-a), and (√3a,0) or (0, a), (0, -a), and (-√3a ,0)
(b) Any line through (-3,5) is y-5 = m(x-(-3)) = m(x + 3) Slope of line joining (2, 5) and (-3, 6) =
Plus One Maths Model Question Papers Paper 1A13.1
∴  slope of a line⊥ to it = 5
∴reqd. line is y-5 = 5(x+3)
⇒ 5x – y + 20=0

Answer 14.
a. centre = (-g, -f) = (4, -5)
Plus One Maths Model Question Papers Paper 1A14
b. Equation is
(x1 – x) (x – x2)+(y1 – y) (y – y1)
(x – a)(x – 0)+(y – 0)(y – b) = 0
x2-ax + y2 – by = 0
x2 + y2 – ax -by = 0

Answer 15.
a. The equaton of line making intercepts a and b on the axes is
Plus One Maths Model Question Papers Paper 1A15
(intercept from) ….(i)
Given p = perpendicular distance from
Plus One Maths Model Question Papers Paper 1A15.1
b. Three lines are said to be concurrent, if they pass through a common point, i.e., point of intersection of any two lines lies on the third line. Here given lines are
2x + y – 3 = 0 ……….. (1)
5x + ky – 3 = 0……….. (2)
3x – y – 2 = 0 …………. (3)
Solving (1) and (3) by cross – multipli­cation method, we get,
Plus One Maths Model Question Papers Paper 1A15.2
Therefore, the point of intersection of two lines is (1, 1). Since above three lines are concurrent, the point (1, 1) will satisfy equation (2) so that
5.1+k.1- 3 = 0 ⇒ k = -2.

Answer 16.
a. (-3,1,2) – 2nd octant
(-3,1,-2) – 6th octant
b. Let A (0,y,0) be a point on y-axis having distance 5 √2 from (3,-2,5)
Plus One Maths Model Question Papers Paper 1A16
⇒ y+ 4y – 12 = 0
⇒ (y + 6) (y-  2) =0
⇒ y = -6,2
∴ A(0,-6,0) and ,4(0,2,0) are the required points

Answer 17.
a. If you do not do all the exercises in this book, you will not get an a grade in the class.
b. Let us assume that be rational.
∴ √2 = a/b, where a and b are co-prime,
i.e., a an b have no other common factors except 1.
Then 2b2 = a2 ⇒ 2 divides a.
∴ there exists an integer tk> such that a – 2k
∴ 2b2 = 4k2 ⇒ 4k= 2b= 2k2 = ⇒ b2=⇒ 2 divides b.
i.e., 2 devides both a and b, which is contradiction to our assumption that a and b have no common factor.
∴ our supposition is wrong.
∴  √2 is an irrational number.

Answer 18.
a.
Plus One Maths Model Question Papers Paper 1A18
b. (iii) n(b)n(A) =3= 9

Answer 19.
Plus One Maths Model Question Papers Paper 1A19
Plus One Maths Model Question Papers Paper 1A19.1
Plus One Maths Model Question Papers Paper 1A19.2
Answer 20.
a. This is not a G.P., however, we can relate it to a G.P by writing the terms as Sn =7 + 77 + 777 + 7777 + …….. to n terms
Plus One Maths Model Question Papers Paper 1A20
b. Let Tn denote the nth term of the given series
Plus One Maths Model Question Papers Paper 1A20.1

Answer 21.
a. Here n = 10 is even
Middle term \(\frac { 10 }{ 2 }\) +1 = 6th term
Plus One Maths Model Question Papers Paper 1A21
Since we have to find a term indepen­dent of x, i.e., term not having x, so
Plus One Maths Model Question Papers Paper 1A21.1

Answer 22.
Plus One Maths Model Question Papers Paper 1A22
Plus One Maths Model Question Papers Paper 1A22.1
Plus One Maths Model Question Papers Paper 1A22.2
Answer 23.
a. We have
Plus One Maths Model Question Papers Paper 1A23
b. We first make the data continuous by making classes as below :
Plus One Maths Model Question Papers Paper 1A23.1
Plus One Maths Model Question Papers Paper 1A23.2

Answer 24.
Plus One Maths Model Question Papers Paper 1A24
Plus One Maths Model Question Papers Paper 1A24.1

Plus One Maths Previous Year Question Papers and Answers

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Students can Download Chapter 2 Electric Potential and Capacitance Questions and Answers, Plus Two Physics Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Plus Two Physics Electric Potential and Capacitance NCERT Text Book Questions and Answers

Question 1.
Two charges 5 × 10-8C and -3 × 10-8C are located 16 cm apart. At what point on the line joining the two charges is the electric potential zero?
Take the potential at infinity to be zero.
Answer:
Given q1 = 5 × 10-8C, r=16cm = 0.16m q2= -3 × 10-8C Let potential be zero at a distance × metre from positive charge q1.
∴ r1 = x meter
r2 = (0.16 – x) metre
S0 V = \(\frac{1}{4 \pi \varepsilon_{0}}\left[\frac{q_{1}}{r_{1}}+\frac{q_{2}}{r_{2}}\right]\)
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 1
or 0.8 – 5x = 3x
or x = 0.1m = 10cm.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 2.
A regular hexagonal of side 10cm has a charge 5mC at each of its vertices. Calculate the potential at the centre of the hexagon.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 2
Answer:
From the figure, we have
OP = OQ = OR = OS = OT = OU
= r = 10cm = 0.1m
And given q = 5µC = 5 × 10-6C
∴ Potential at O due to all the charges
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 3
= 2.7 × 106volt.

Question 3.
Two charges 2mC and -2mC are placed at points A and B 6cm apart.

  1. Identify an equipotential surface of the system.
  2. What is the direction of the electric field at every point on this surface?

Answer:

  1. The plane normal to AB and passing through its mid-point has zero potential everywhere hence the plane is equipotential.
  2. Normal to the plane is the direction AB.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 4.
A spherical conductor of radius 12cm has a charge of 1.6 × 10-7C distributed uniformly on its surface. What is the electric field

  1. Inside the sphere.
  2. Just outside the sphere.
  3. At point 18cm from the centre of the sphere?

Answer:
1. Zero

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 4

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 5

Question 5.
A parallel plate capacitor with air between the plates has a capacitance of 8pF (1 pF=10-12F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant s?
Answer:
The capacitance of capacitor with air as dielectric is given by
C = \(\frac{\varepsilon_{0} A}{d}\)
Given C = 8pF = 8 × 10-12F …………(1)
If C1 is new capacitance when d1 = \(\frac{d}{2}\) and space is filled with a substance of dielectric constant k=6.
Then
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 6
Using Eq.(1)
C1 = 12 × 8 × 10-12F
or C1 = 96pF.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 6.
Three capacitors each of capacitance 9pF are connected in series.

  1. What is the total capacitance of the combination?
  2. What is the potential difference across each capacitor, if the combination is connected to a 120 volt supply?

Answer:
Given C1 = C2 = C3 = 9pF = 9 × 10-12F; V= 120 volt.
1. Total capacitance of the series combination is given by
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 7
∴ C = 3 × 10-12F = 3pF.

2. Let q be the charge on each capacitor. Then, sum of the potential difference across their plates must be equal to 120 V.
ie. V1 + V2 + V1 = 120
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 8
or q = 360 × 10-12C
Since, all the capacitors are of same capacitance,
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 9

Plus Two Physics Electric Potential and Capacitance One Mark Questions and Answers

Question 1.
A hollowing metallic sphere of radius 10cm is charged such that potential on its surface is 80V. the potential at the center of the sphere would be.
(a) 80 V
(b) 800 V
(c) zero
(d) 8 V
Answer:
(a) 80 V

Question 2.
When air is replaced by a dielectric medium of constant K, the maximum force of attraction between two charges separated by a distance.
(a) increases k times
(b) remains unchanged
(c) decreases k times
(d) increases k-1 times
Answer:
(c) decreases k times
Explanation : Fm = \(\frac{\mathrm{F}_{0}}{\mathrm{K}}\) i.e., Decrease K times.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 3.
Charge q2 is at the center of a circular path with radius r. work done in carrying charged q1 once a round this equipotential path, would be.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 10
Answer:
(c) zero

Question 4.
Pick out a vector quantity from the following
(i) Electric potential
(ii) Electric potential gradient
(iii) Electric potential energy
(iv) Electric flux
Answer:
(ii) Electric potential gradient

Question 5.
“The surface of a charged conductor is an equipotential surface”. Comment on this statement.
Answer:
In a charged conductor, at any point inside or at the surface, the potential is same. So the surface is equipotential.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 6.
Pick the odd one out of the following
(i) eV
(ii) Volt
(iii) Mega Volt
(iv) Millivolt
Answer:
(i) eV (eV is the unit of energy).

Plus Two Physics Electric Potential and Capacitance Two Mark Questions and Answers

Question 1
Figure shows a parallel plate air capacitor of plate area of 100cm2 and separation 5mm. A potential difference of 300v is established between its plates by a battery.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 11

  1. Calculate the capacitance and charge on the capacitor.
  2. After disconnecting the battery, the space between the plate Js filled by ebonite (k=2.6). Then calculate the capacitance and charge on capacitor.

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 12
= 17.6 pF
Q = CV= 17.6 × 10-12 × 300 = 5.2 × 10-9C

2. C = \(\frac{A K \varepsilon_{0}}{d}=\frac{K A \varepsilon_{0}}{d}\)
= 2.6 × 17.6 × 10-12 = 45.76pF.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 2.
Fill in the blanks

  1. 6.25 × 1018 electrons =………..C
  2. 6.25 × 1018 eV =…………J

Answer:

  1. 1 coulomb
  2. 1 J

Question 3.
Potential is a scalar quantity. Potential gradient is a vector quantity Negative of potential gradient is another vector quantity. It is
1.

  • electric force
  • electric flux
  • electric field intensity
  • none

2. What is magnitude and direction of above quantity in the case of a point charge
Answer:

  1. Electric field
  2. Direction of electric field is outward for positive charge and inward for negative change

Question 4.

  1. Dielectric strength of air is 3 × 106 V/m. What does it mean?
  2. High power lines cannot be insulated. Why?

Answer:

  1. When electric field on air exceeds the 3 × 106 v/m, air becomes conductor and conduct electricity.
  2. Insulator shows conducting property at high voltage.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 5.

Write whether true or false

  1. In a charged conductor charge reside inside and outside of the conductor
  2. In a charged conductor net field is zero inside the conductor
  3. Potential is Zero inside the conductor
  4. The entire part of the conductor (including surface of the conductor) is at constant potential.

Answer:

  1. False
  2. True
  3. False
  4. True

Plus Two Physics Electric Potential and Capacitance Three Mark Questions and Answers

Question 1.
Match the following.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 13
Answer:

  1. Electric field – force per unit (+ve) charge -NC-1
  2. Electric potential – Work done per (+ve) charge – JC-1
  3. Capacitance – charge per unit potential difference -Farad.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 2.
The data given below shows the variation of potential with charge during charging of a condenser.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 14

  1. Draw a graph with charge along the Y-axis and potential along the X-axis. Estimate capacity of the condenser from the graph.
  2. Estimate the energy stored in the condenser from the graph.

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 15

2. Area enclosed by the graph represents total energy = 1/2 QV = 1/2 × 5 × 10-6 × 25
= 62.5 × 10-6 J

Question 3.
Many of the applications of capacitors depend on their ability to store energy.
1. In a charged capacitor energy is stored in the

  • positively charged plate
  • negatively charged plate
  • electric field between the plates
  • none of these

2. Draw a graph showing the variation of charge stored in a capacitor with its potential. How will you calculate the energy stored in the capacitor using the above graph?
Answer:
1. Electric field between the plates

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 16
Area under the straight line graph gives the energy stored in the capacitor.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 4.
A and B are two points in an electric field produced by q. To bring a unit +ve charge from a to A, 10 J work is needed. To bring the same charge from. A to B, 2J work is needed.
1. What is the p.d, between A and B?
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 17
2. What are the potential at A and B?

Answer:

  1. 2v
  2. potential at A, VA = 10v potential at B, VB = 12v.

Question 5.

  1. 1 coulomb = 6.25 × 1018 electrons, 1 Joule =……..eV
  2. What is meant by 1 eV
  3. Which is bigger unit J or eV? Justify for your answer.

Answer:
1. lev=1.6 × 10-19 J
∴ 1J = \(\frac{1}{1.6 \times 10^{-19}}\) ev 1 J = 6.25 × 1018 ev.

2. 1 ev is the energy acquired by an electron, when it is accelerated through a potential difference of one volt.

3. Joule is bigger unit, 1J = 6.25 × 1018 eV.

Question 6.

  1. Name the physical quantity which has its unit joule, coulomb-1. Is it a vector or a scalar?
  2. Two plane sheets of charge densities +σ and -σ are kept in air as shown in figure. What are the electric field intensities at point A and B?

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 18
Answer:
1. Electric potetial. Scalar.

2. Electric field at A EA = 0
Electric field atB EB = \(\frac{\sigma}{\varepsilon_{0}}\).

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 7.
You are given 3 capacitors of capacities 3 µf, 2 µf, 1 µf You have to make a capacitors of capacitance less than 1 µf.

  1. How do you arrange the capacitors, show by a diagram?
  2. Write an expression for effective capacitance of the above combination and verify the result.

Answer:
1. Connect in series
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 19

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 20

Question 8.
The arrangement of a capacitor is given below. The plate A is charged and the plate B is earthed, ‘d’ is the distance between two plates.
1. Write any one use of this capacitor.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 21

2. Obtain an expression for capacitance of this arrangement.

3. A capacitor is made of a flat plate of area A and second plate having a stair like structure as shown in figure. The width of each stair is d and 2d. Find the capacitance of this arrangement.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 22
Answer:
1. To store electric charges

2. C = \(\frac{A \varepsilon_{0}}{d}\)

3. It is equivalent to two capacitors connected in parallel.
C = C1 + C2
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 23

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 9.
The dotted line indicate the surface such that they lie equi-distance from the charge ‘q’.

  1. What is the name of this surface?
  2. Write the properties of the surface.
  3. Give a mathematical proof to any one of the properties.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 24
Answer:
1. Equipotential surface.

2. properties of the surface:

  • Direction of electric field is perpendicular to the equi potential surface,
  • No work is done to move a charge from one point to another along the equi potential surface.

3. Work done = Potential difference × charge
= 0 × Charge = 0.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 10.

  1. What is meant by potential at a point?
  2. Obtain an expression for potential at a point
  3. A wire is bent in a circle of radius 10cm. It is given a charge of 250µC which spreads on it uniformly. What is the electric potential at the centre?

Answer:
1. Potential at a point is the work done required bring a unit charge from infinity to that point without acceleration.

2. Potential due To A point charge:
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 25
Let P be a point at a distance Y from a charge +q. Let A be a point at a distance ‘x’ from q, and E is directed along PA. Consider a positive charge at A. Then the electric field intensity at ‘A’ is given by
\(E=\frac{1}{4 \pi \varepsilon_{0}} \frac{q}{x^{2}}\)
If this unit charge is moved (opposite to E} through a distance dx, the work done dw = – Edx
[-ve sign indicates that dx is opposite to E ]
So the potential at ‘P’ is given by
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 26
V = \(\frac{+q 1}{4 \pi \varepsilon_{0} r}\) (since \(\frac{1}{\infty}\) = 0).

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 27
= 2.25 × 107 v.

Plus Two Physics Electric Potential and Capacitance Four Mark Questions and Answers

Question 1.

  1. Write any one use of capacitor
  2. Obtain an expression for capacitance of a parallel plate capacitor
  3. The Capacity of a parallel plate capacitor becomes 10µF when air between the plates is replaced by a dielectric slab (k =2). What is the capacity of the capacitor with air in between the plates?

Answer:
1. one use of capacitor:

  • Capacitor is used to store electric charges
  • It is used to prevent dc current.

2. Expression for capacitance of a capacitor:
Potential difference between two plates V= Ed
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 28
Capacitance C of the parallel plate capacitor,
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 29
C = \(\frac{\mathrm{A} \varepsilon_{0}}{\mathrm{d}}\)

3. C = 10µF
When dielectric slab is placed, New capacitance
C1 = KC
10 × 10-6 = 2 × C, C=5 × 10-6F.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 2.
A charge of +5µC is placed in free space. P and Q are two points at 3mm and 5mm respectively from 5µC.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 30
1. The work done to bring a + IC charge from infinity to a point ‘P’ is called

  • capacitance
  • dielectric constant
  • potential energy
  • electric potential

2. Calculate the workdone in above process.

3. Calculate the workdone to move a +IC charge from ‘P’to ‘Q’.

Answer:
1. Electric potential.

2. Work done w = VQ
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 31

3. The potential energy at p,
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 32
PE2 = 9V
Work done to move IC from P to Q, W = PE2 – PE1
= 9 – 15
w = -6 J

Question 3.

  1. “Electric field lines are always parallel to Equipotential surfaces.” Correct the statement if there is any mistake.
  2. Draw the equipotential for a single positive point charge.

Answer:
1. Electric field lines are always perpendicular to Equipotential surfaces.

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 33

Question 4.
E is the electric field intensity at any point in a uniform electric field.

  1. What is meant by uniform electric field?
  2. Represent a uniform electric field using lines of force.
  3. Calculate energy stored per unit volume of the space if E=2V/m.

Answer:
1. Region where magnitude and direction of electric field remain same.

2. lines of force are parallel and equidistant.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 34

3. Energy density = \(\frac{1}{2}\) εo E2 = 1/2 × 8.85 × 1012 × 22
= 17.7 J/m3.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 5.
In a charged capacitors energy is stored
1.

  • in+ve plate
  • In dielectric
  • In electric field

2. Derive an expression for energy stored in a capacitor.

3. Draw a graph between energy and charge, in electric field

Answer:
1. In electric field

2. If we supply a charge ‘dq’ to the capacitor, then work done can be written as,
dw = Vdq
dw = \(\frac{q}{c}\) dq (since v = \(\frac{q}{c}\))
∴ Total work done to charge the capacitor (from ‘0’ to ‘Q’) is
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 35

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 36
Plus Two Physics Electric Potential and Capacitance Five Mark Questions and Answers

Question 1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 37
1. Identify the device

  • Moving coil Galvanometer
  • Cyclotron
  • Photovoltaic cell
  • Van-de-Graft electrostatic generator

2. Explain the construction and working of the above device

3. What happens if the upper metal sphere is replaced by a cubical shaped metal? Explain.

Answer:
1. Vandegraff generator

2. Van de graff generator:
Van de Graff generator is used to produce very high voltage.
Principle:
If two charged concentric hollow spheres are brought in to contact, charge will always flow from inner sphere to the outer sphere.
Construction and working:
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 38
The vande Graff generator consists of a large spherical metal shell, placed on an insulating stand. Let p1 and p2 be two pulleys. Pulley p1 is at the center of the spherical shell S. A belt is wound around two pulleys p1 and p2.

This belt is rotated by a motor. Positive charges are sprayed by belt. Brush B2transfer these charges to the spherical shell. This process is continued. Hence a very high voltage is produced on the sphere.

3. The charge density on the pointed edge is higher than flat surface. Hence charge will leak from the cubical shaped metal.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 2.
The figure below shows a non polar dielectric slab placed in between the plates of an uncharged parallel plate capacitor.
Area of each plate = A, Distance, of separation be¬tween the plates = d
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 39
1. If the dielectric slab is absent and the capacitor is charged to a surface charge density a, the electric field in between the plates is

  • E = σεo
  • E = \(\frac{\sigma^{2}}{\varepsilon_{0}}\)
  • E = \(\frac{\sigma}{\varepsilon_{0}}\)
  • E = σεo2

2. Redraw the given figure, which shows the align-ment of the nonpolar molecules, when the capacitor is charged.

3. Derive an expression for capacitance of the above capacitor with the dielectric slab in between the plates.
Answer:
1. E = \(\frac{\sigma}{\varepsilon_{0}}\)

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 40

3. Effect of dielectric on capacitance:
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 41
Consider a capacitor of area A and charge densities +σ and -σ. Let d be the distance between the plates. If a dielectric slab is placed inside this capacitor, it undergoes polarization.

Let +σp and -σp be polarized charge densities due to polarization. Due to polarization electric field in between the plate becomes
E = \(\frac{\sigma}{\mathrm{K} \varepsilon_{0}}\) …….(1)
The potential difference between the plates,
V = Ed ………..(2)
Sub (1) in (2)
V = \(\frac{\sigma}{\mathrm{K} \varepsilon_{0}}\) d
Then the capacitance of capacitor
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 42
C = \(\frac{A \varepsilon_{0} K}{d}\)
The product ε0K is the permittivity of the medium.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 3.
Three capacitors C1, C2 and C3 are connected to a cell of emf V as shown in the figure.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 43
1. The arrangement of these three capacitors are called………….

  • parallel combination
  • series combination
  • LCR combination
  • c-c combination

2. Find the effective capacitance of the above combination.

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 44
The above graph shows the variation of potential in going from a to g. From the graph the relation among C1, C2 and C3 is

  • C1 = C2 = C3
  • 2C1 = 2C2 = C3
  • C1 = C2 = 2C3
  • C1 = C2 = C3

Answer:
1. Series connection.

2. Capacitors in series:
Let three capacitors C1,C2 and C3 be connected in series to p.d of V. Let V1, V2 and V3 be the voltage across C1, C2 and C3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 45
The applied voltage can be written as,
V=V1 + V2 + V3 ………..(1)
Charge ‘q’ is same as in all the capacitor. So,
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 46
Substituting these values in (1),
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 47
If these capacitors are replaced by a equivalent capacitance ‘C’, then
V = \(\frac{q}{C}\)
Hence eq(2) can be written as
\(\frac{q}{C}=\frac{q}{C_{1}}+\frac{q}{C_{2}}+\frac{q}{C_{3}}\)
\(\frac{1}{C}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+\frac{1}{C_{3}}\)
Effective capacitance is decreased by series combination.

3. From the graph, we get v1 = 1 v, v2 = 1 v, v3 = 2v.
This arrangement is series. Hence charge stored in each capacitor is same.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 48
C1: C2: C3
1: 1: 1/2
2: 2: 1
2C1: 2C2: C3

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 4.
Two metal plates X and Y of the area ‘A’ are separated by a distance ‘d’, charged + and – respectively.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 49

  1. This arrangement is called………….
  2. The arrangement store energy in the………..(Magnetic field, Electric field, Electromagnetic field, Gravitational field)
  3. Derive an expression for the energy stored in the arrangement.
  4. When we increase separation between two plates by keeping V constant, what happens to total energy stored in the system.

Answer:
1. Capacitor.

2. Electric field

3. If we supply a charge ‘dq’ to the capacitor, then work done can be written as,
dw = Vdq
dw = \(\frac{q}{c}\) dq (since v = \(\frac{q}{c}\))
∴ Total work done to charge the capacitor (from ‘0’ to ‘Q’) is
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 50

4. When we increase the separation between two plates, capacitance (c) decreases. The energy in the capacitor U = 1/2 CV2 When c decreases, the energy decreases (because V is constant).

Question 5.
A combination of two conducting bodies separated by insulator can store electric charge
1. The above device is called………….

2. Derive on expression for capacitance of the device with air as medium.

3. If mica of dielectric constant Ks placed between the plates. What are its advantages? Explain action of mica in the case.
Answer:
1. capacitor.

2. Potential difference between two plates V= Ed
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 51
Capacitance C of the parallel plate capacitor,
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 52

3.

  • When mica sheet is introduced, capacitance of capacitor increases
  • Mica sheet will prevent electric breakdown.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 6.
When a charged particle moves in an electric field, work is done on the particle.
1. Pick out a vector quantity from the following

  • electric potential
  • electric potential gradient
  • electric potential energy
  • electric flux (1)

2. 5 J of work is done in moving a positive charge of 0.5C between two points. What is the potential difference between the points?

  • 2.5V
  • 10V
  • 0.1V
  • 5.5V (1)

3. Three-point electric charges q1 = 6µC, q2 = 4µC and q3 = -8µC are placed on the circumference of a circle of radius 1 m as shown in the figure. What is the value of the charge q4 placed on the circle if the potential at the centre of the circle is zero? (3)
Answer:
1. Electric potential gradient
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 53

2. 10V

3. Radius of the circle r = 1m
By the given condition
\(\frac{1}{4 \pi \varepsilon_{0}} \times \frac{1}{r}\) (q1 + q2 + q3 + q4) = 0
(q1 + q2 + q3 + q4) = 0
(6 + 4 – 8 + q4) µC = 0
(2 + q4) µC = 0
q4 = -2µC.

Question 7.
Equipotential surface is a surface on which the electrical potential is the same at every point.
1. “Electric field lines are always parallel to Equipotential surfaces.” Correct the statement if there is any mistake. (1)

2. Draw the equipotential for a single positive point charge. (2)

3. A point charge +q is placed at the centre of a sphere of radius R. Another point charge +q is taken from a point A to another diametrically opposite point B on the surface of the sphere. Calculate the work done for this. (2)
Answer:
1. Electric field lines are always perpendicular to Equipotential surfaces.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 54

2. Surface of the sphere is Equipotential in nature. So the potential difference between any points is zero. Since work done is the product of charge moving and the potential difference between the points, work done is equal to zero.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 8.
Capacitance of a capacitor depends on the size and shape of the conductors and on the dielectric material between them.
1. Draw the symbol of a variable capacitor. (1)

2. The plates of a parallel plate capacitor are connected to an ideal voltmeter. What will happen to the reading of the voltmeter if the plates of the capacitor are brought closer to each other in an insulating medium? (2)

3. The plates of a parellel plate capacitor in vacuum are 5mm apart and 1.5m2 in area. A potential difference of 10kV is applied across the capacitor. Calculate
a. The capacitance
b. The charge on each plate.
c. magnitude of the intensity of electric field between the paltes.

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 55

2. Capacitance C = \(\frac{\varepsilon_{0} A}{d}\)
Potential difference V = \(\frac{q}{c}=\frac{q d}{\varepsilon_{0} A}\)
In an insulating medium charge remains the same,voltage is directly proportional to plate separation. Therefore, voltmeter reading decreases.

3.
a.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 56
b. Q = CV = 2.66 × 10-9 × 10 × 103 = 2.66 × 10-5 C.
c.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 57

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 9.
Capacitors can be combined to obtain any desired capacitance in an application.
1. You are given two capacitors of capacitance 20µF each. Draw a diagram to show how you will connect these capacitors to get 40µF capacitance. (1)

2. Two capacitors C1 and C2 are connected in series.
a. Draw a diagram of the above combination. (1)
b. If C1 = 4µF, C2 = 6µF and C3 = 2.4µF and a potential difference of 100V is applied across the combination. Calculate the change stored in each capacitor.

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 58
2. Two capacitors C1 and C2 are connected in series:
a.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 59

b. Effective capacitance C1 anc C2
C12 = \(\frac{C_{1} C_{2}}{C_{1}+C_{2}}=\frac{4 \times 6}{4+6}\) = 2.4µF
Potential difference across C12 = 100V
Charge stored on C12, q12 = C12 × 100
q12 = 2.4 × 10-6 × 100
q12 = 2.4 × 10-4 C
Charge on C1
q1 = 2.4 × 10-4C
Charge on C2
q2 = 2.4 × 10 -4C
Potential difference across C3 = 100V
Charge on C3
q3 = C3 × 100
q3 = 2.4 × 10-6 × 100
q3 = 2.4 × 10-4C.

Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance

Question 10.
Many of the applications of capacitors depend on their ability to store energy.
1. In a charged capacitor energy is stored in the

  • positively charged plate
  • negatively charged plate
  • electric field between the plates
  • none of these (1)

2. Draw a graph showing the variation of charge stored in a capacitor with its potential. How will you calculate the energy stored in the capacitor using the above graph?

3. An electric flash lamp has 20 capacitors each of capacitance 5µF connected in parallel. The lamp is operated at 100V. If the energy stored in the combination is completely radiated out in a single flash, how much energy will be radiated in a flash? (2)

Answer:
1. Electric field between the plates

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 2 Electric Potential and Capacitance - 60
Area under the straight line graph gives the energy stored in the capacitor.

3. Effective capacitance C = 20 × 5µF = 100µF, V=100v,
Energy stored E = \(\frac{1}{2}\) CV
E = \(\frac{1}{2}\) × 100 × 10-6 × 1002 = 0.5 J

Plus One Maths Previous Year Question Paper 2017

Kerala Plus One Maths Previous Year Question Paper 2017

Time Allowed: 2 hours
Cool off time: 15 Minutes
Maximum Marks: 60

General Instructions to Candidates

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time of 2 hrs.
  • Your are not allowed to write your answers nor to discuss anything with others during the ‘cool off time’.
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read questions carefully before you answering.
  • All questions are compulsory and only internal choice is allowed.
  • When you select a question, all the sub-questions must be answered from the same question itself.
  • Calculations, figures and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provided.
  • Give equations wherever necessary.
  • Electronic devices except non programmable calculators are not allowed in the Examination Hall.

Plus One Economics Previous Year Question Papers and Answers 2018

Question 1.
Worker population ratio is……………
a. Population / Worker
b. Worker / Population
c. Population / Worker X 100
d. Worker/Population X 100
Plus One Economics Previous Year Question Papers and Answers 2018.32

Question 2.
List any four effects which ‘the miracle seeds’ created in Indian agriculture.
Plus One Economics Previous Year Question Papers and Answers 2018.1

Question 3.
For a classroom discussion, Ashna collected the following information about present In­dia.
a. Infant, mortality rate – 45
b. Life expectancy-66.4
c. Overall literacy level 74.04
d. Compare them with the British period and comments.
Plus One Economics Previous Year Question Papers and Answers 2018.2

Question 4.
Demographic data on birth and death rates in India, a collected and published by………………
a. RG
b. NSSO
c. CSO
d. Labour Bureau
Plus One Economics Previous Year Question Papers and Answers 2018.4

Question 5.
Distinguish between bar diagram and histo­gram. (Hint: Not to draw diagrams)
Plus One Economics Previous Year Question Papers and Answers 2018.5

Question 6.
The various ranks secured by Merin and Kanchana in four medical entrance examinations are
Plus One Economics Previous Year Question Papers and Answers 2018.6
Calculate the rank correlation and interpret the result.
Plus One Economics Previous Year Question Papers and Answers 2018.7

Question 7.
Find the one which is NOT measured for im­proving agricultural market system.
a. Adoption of green revolution
b. Assurance of minimum support price
c. Maintenance of buffer stock
d. Public distribution system
Plus One Economics Previous Year Question Papers and Answers 2018.33

Question 8.
a. Name the system of farming that restores, maintain and enhance Ecological balance,
b. Point out any three merits of it.
Plus One Economics Previous Year Question Papers and Answers 2018.8

Question 9.
Prepare an essay on various policies and pro­grams towards poverty alleviation in India. Do you find any faults in the implementation of these programs? Substantiate.
Plus One Economics Previous Year Question Papers and Answers 2018.9

Question 10.
A value of correlation coefficient (r) =+1.2 in­dicates
a. Perfect+ve correlation
b. High degree of +ve correlation
c. Low degree of +ve correlation
d. Error in calculation
Plus One Economics Previous Year Question Papers and Answers 2018.10

Question 11.
Identify the names of the steps in a project to which you can include the following statisti­cal tools you have studied.
Plus One Economics Previous Year Question Papers and Answers 2018.11
Plus One Economics Previous Year Question Papers and Answers 2018.12
Question 12.
State the two senses in which the word ‘sta­tistics’ is used. Elucidate.
Plus One Economics Previous Year Question Papers and Answers 2018.13

Question 13.
An import substitution policy.
a. Increase in the tax on imported goods
b. Fixing of quotas
c. Enlarge domestic production
d. All of these
Plus One Economics Previous Year Question Papers and Answers 2018.14

Question 14.
a. Name the outcome of the two policy strat­egies of liberalization and privatization,
b. Do you think that Indian agriculture sec­tor was adversely affected by the reform process? Justify.
Plus One Economics Previous Year Question Papers and Answers 2018.15

Question 15.
State to which country the following demo­graphic features belongs to.
(Hint: India, China or Pakistan)
a. Highest annual growth of population
b. Lowest population density.
c. Less urbanization
d. High fertility rate
Plus One Economics Previous Year Question Papers and Answers 2018.36
Plus One Economics Previous Year Question Papers and Answers 2018.37

Question 16.
Observe the graph. It is……..
a. Uni-modal data
b. Bi-model data
c. Multi-modal data
d. None of these
Plus One Economics Previous Year Question Papers and Answers 2018.31

Question 17.
Calculate the Consumer Price Index (CPI)
Plus One Economics Previous Year Question Papers and Answers 2018.34

Question 18.
“Most of the surveys conducted in India are sample surveys”.
Prepare any three reasons to support the above statement.”
Plus One Economics Previous Year Question Papers and Answers 2018.35

Question 19.
Which is NOT a pair?
a. Tapas Majumdar Committee’ – Education
b. Brundtland Commission – Sustainable de­velopment
c. Karve Committee-Agriculture
d. VKRVRao-National income estimation
Plus One Economics Previous Year Question Papers and Answers 2018.16
Plus One Economics Previous Year Question Papers and Answers 2018.17

Question 20.
a. Name the relative measure of standard de­viation.
b. Define SD.
c. Calculate the standard deviation from the following data:
Plus One Economics Previous Year Question Papers and Answers 2018.18

Question 21.
Do India faces challenges in the power sec­tor? Elucidate.
Plus One Economics Previous Year Question Papers and Answers 2018.19
Question 22.
For conducting a survey among 200 house­holds, Anumitha has written the names of all 200 households on pieces of paper, mixed well and 20 names are selected one by one. It is
a. Census method
b. Random sampling
c. Nonrandom sampling
d. None of these
Plus One Economics Previous Year Question Papers and Answers 2018.20

Question 23.
While preparing a frequency distribution from the raw data, name the questions we have to address. Briefly, explain in 1 % pages. (Hint: Four steps in the construction of a frequency distribution)
Plus One Economics Previous Year Question Papers and Answers 2018.21

Question 24.
The heights (in cm) of 11 plants in a garden are
Plus One Economics Previous Year Question Papers and Answers 2018.22
a. Choose the mode.
b.Calculate the mean and median height of the plants, by using the equations.
Plus One Economics Previous Year Question Papers and Answers 2018.23

Question 25.
Which one of the following statements is NOT TRUE about the employment sector in India?
a. 93% workers are in the informal sector.
b. 50% of the workers are self- employed.
c. Disguised and seasonal unemployment exist in the Indian farm sector.
d. During 1972-2010 there was a movement of workers from casual wage to self-empl­oyment.
Plus One Economics Previous Year Question Papers and Answers 2018.24

Question 26.
Define the term, ‘Sustainable development’. Suggest various strategies for attaining it in two pages.
Plus One Economics Previous Year Question Papers and Answers 2018.25

Question 27.
Express your view in the following aspects with reference to the present human capital formation in India.
a. Education for all
b. Gender equity
c. Higher education
Plus One Economics Previous Year Question Papers and Answers 2018.26

Question 28.
The current and base year prices of a group of commodities are Rs. 180 and Rs. 135 re­spectively. It shows
a. price is said to have risen by 38.33%
b. price is decreased by 33.33%
c. price is increased by 133.33%
d. none of these
Plus One Economics Previous Year Question Papers and Answers 2018.27

Answers

Answer 1.
Worker /population X 100

Answer 2.

  • Enable India to attain sufficiency in food grains.
  • Increased market surplus
  • Large-scale increase in production
  • Price of food grains declined.
  • Government procured surplus products for future use.

Answer 3.
a. 218/1000
b. 32 years
c. Less than 16 %

Answer 4.
RGI (also give merits for NSSO)

Answer 5.

Bar diagram Histogram
Bar diagram comprised agro up of equispaced A histogram is a two dimen­sional diagram
Equal width rectangular bars The width may be different
Space is left between adjent bar No space is left
Draw for discrete and
con­tinues variables.
Drawn for continuous vari­able only
Not help to determine any average Help to determine made

Answer 6.

R1 Exams R2 Rank of Merin Rank of Kanchana (D = R1 R2) d2
KEAM 1 2 -1 1
AIPMT 3 4 -1 1
JIPMER 2 4 -1 1
ALLMS 4 1 3 9
12

Plus One Economics Previous Year Question Papers and Answers 2018.28

Answer 7.
a. Adoption of green revolution

Answer 8.
a. Organic farming
b. Substitute with locally produced and or­ganic inputs

  • More nutritional value
  • Pesticide-free
  • Highly international demand
  • Environment-friendly

Answer 9.
1. Rural Employment Generation Programme.
It is implemented through the Khadi and vil­lage Industries Commission (KVIC), To help eligible enterpreneurs to set up village indus­try units. Under this programme, enterpre­neurs can establish village industries by avail­ing of margin money assistance from KVIC and loans from public sector scheduled com­mercial banks, selected regional rural banks. Under REGP, bank appraises the projects as per the scheme and take credit decision.

2. Prime Minister’s Rozgar Yojana (PMRY): In this programme help to set up any kind of enterprise that generates employment to the educated unemployed from low income fami­lies in rural and urban areas.

3. Swarna Jayanthi Shahari Rozgar Yojana (SJSRY)
The urban self-employment Programme and the urban Wage Employment Programme are two special scheme of the SJSRY, initiated in December 1997.

4. National Food for Work Programme (NFWP)
This Programme was introduced February 2001 for five months and was further extend­ed. This programe aims at augmenting food security through wage employment in droug­ht affected rural areas.

5. Swarna Jay at hi Gram Swarozgar Yojana (SJGSY)

It was launched with effect from 1999. As a result of amalgamating certain erstwhile prog­rammes into a single self-employment pro­gramme. This programme aims at promoting micro-enterprises and helping the rural poor into Self Help Groups(SHG). This scheme cov­ers all aspect of self-employment.

6. Mid Day Meals Scheme: In this programme involves provision for free lunch on working days for children in primary and upper primary classes in government education centers. The primary objective of the scheme is to provide hot cooked meal to children of primary and upper primary.

7. National Social Assistance Programme (NSAP): It was introduced on 15 August 1995 as a 100% centrally sponsored scheme for social assistance to poor household affected by old age, death of primary bread earner and mater­nity.

8. Pradhan Mantri Gramodya Yojana (PMGY): It was started in 2001. It aims at improving the standard of living of the rural people by de­veloping five important area health primary education, drinking water, housing and roads.

9. Pradhan Mantri Gram Sadak Yojana (PMGSY): It was nationwide plan in india to provide good all-weather road connectivity to unconnected villages. The scheme has started to change the lifestyle of many villagers.

10.Sampoorna Gramin Rozgar Yojana (SGRY): It was introduced in 2001. Jawahar Gram Samridhi yojana and Employment Assurance Scheme were intergrated into a single yojana. The objective of this yojana is to provide em­ployment opportunity to the surplus Workers. Through the policy towards poverty alleviati­on has evolved in a progressive manner but over the last five and a half decades it has not undergone any radical transformation.

The three major area of concern which preve­nt the successful implementation of the progra­ms, they are:

  • These program depend mainly on govern­ment and bank officials for their implementa­tion since such officials are ill motivated, the resources are inefficiently used and wasted.
  • Unequal distribution of land and other as­sets due to the benefits have been availed by the non-poor.
  • In comparison to the magnitude of poverty, the amount of resource allocated for these programmes is not sufficient.

Answer 10.
Error in calculation

Answer 11.
b. Analysis on interpretation
c. organisation or presentation of data

Answer 12.
In the plural sense:- statitics refers to the sys­tematic collection of numerical facts. It indic­ated information in terms of numbers or nume­rical data such as employment statistics and population statistics.
In the singular sense:- statistics refers to the science of studying statistical methods. It indic­ates the techniques or methods of collecting organising, presenting analysing and inter­preting data.

Answer 13.
d. All of these

Answer 14.
a. Globalisation
b. Yes, Reduction of public investment. There has been a drastic decrease in the volume of public investment. In the agricultural sector. There has been an acute outback from the Indian government to provide. Sufficient irri­gation facilities, electricity information sys­tem, market linkages and roads.

Removal at subsidies removal subsidies on fertilisers pushed up the cost of production of agriculture. This made forming more expen­sive, thereby, adversely affecting the poor and marginal farmers. Shift towards cash crops and lack of food grai­ns. The export-oriented production strategies led to the shift of agricultural production from food grains to the production of cash crops like cotton jute etc.

Liberalisation and reduction in impart duties on agricultural products. Due to adherence to the to commitment, Indian government re­duced impart duties on agricultural products that forced the poor and marginal farmers to complete with their foreign countries part in international markets.

Answer 15.
a. Pakistan
b. China
c. India
d. Pakistan

Answer 16.
b. Bi-modaldata

Answer 17.

Item Weight(4%) Base year price Current year price
food 50 2000 3000
cloth 15 1000 1200
fuel 25 400 700
Rent 10 500 600
Item Weight W Base year Price Current year Price R
p1/p0l00
WR
food 50 2000 3000 150 7500
cloth 15 1000 1200 120 1800
fuel 25 400 700 175 4375
Rent 10 500 600 120 1200
Total 100 14875

Consumer price index = \(\cfrac { \Sigma WR }{ \Sigma W } =\cfrac { 14875 }{ 100 } =148.75\)

Answer 18.

  • A sample can give recomable, reliable and accurate informations.
  • Lower cost
  • Shorter time
  • More detailed information can be collected as sample is less than population.
  • Need smaller loan of enumerators
  • Easier to trains and supervise the enum­erators

Answer 19.
c. Karve Committee – Agriculture

Answer 20.
a. Coefficient of variables
b. Standard Deviation
Standard Deviation: is the positive square root of the mean of squared deviations from mean.
So if there are five values X1, X2, X3,X4and X5, first their mean is calculated. Then devia­tions of the values from mean are calculated. These deviation are then squared. The mean of these squared deviations is the variance. Positive square root of the variance is the standard deviation.
c.

Marks No. of students X d(x-5) fd fd2
(Fd x d)
0-10 3 5 -30 -90 2700
10-20 5 15 -20 -250 2000
20-30 6 25 -10 100 600
3040 8 35 0 0 0
40-50 10 45 10 100 1000
50-60 1 55 20 20 400
60-70    5 65 30 360  10800
70-80 5 75 40 200 8000
50 430 25,500

Plus One Economics Previous Year Question Papers and Answers 2018.29
Answer 21.
Yes.

  1. Installed capacity to generate electricity is not sufficient to feed the annuval demand of7%
  2. State electricity board are running is losses of Rs,’ 500 billion transmission and distri­bution loss, wrong price, inefficiency etc.
  3. Challenge from the part of the private sector and foreign power generates.
  4. General public interest due to high tariff and long power

Answer 22.
b. Random sampling

Answer 23.

  • Find the range of data
  • Decide the approximate number of classes
  • Determine the approximate class interval size
  • Decide the starting point
  • Determine the remaining class limits
  • Distribute the data into respective classes.

Answer 24.
Plus One Economics Previous Year Question Papers and Answers 2018.30

Answer 25.
During 1972 -2010 there was a movement of workless from casual wage to self-empl­oyment.

Answer 26.
It refers to the development strategy to inte­rruption till the resource extraction was not above the rate of regeneration of the resource and the wastes generated were within the assimilating capacity of the environment But today, environment fails to perform its third and vital function of the substance resulting in an environmental crisis. The rising popula­tion of the developing countries and the af­fluent consumption and production stand­ards of the developed world have placed huge stress on the environment in terms of its first two functions.

Strategies for sustainable Development.

1. Use of a non-conventional source of energy: – India heavily, depends on the hydropower plants to meet its power needs. Both of the­se have adverse environmental impacts. Thermal power plants emit large quantities of carbon dioxide, which is a greenhouse gas. It is not used properly.

2. Bio-Composting:-Inorder to increase pro­duction, we have started using chemical fertilisers which are adversely affecting the waterbodies, groundwater system, etc. But again farmers in large numbers have started using organic fertilisers for production.

3. Mini-Hydel Plants:- Mountainous region have streams everywhere, Most of such streams are perennial. Mini-hydel plants use the energy of such streams to move small turbines which generates electrici­ty. Such power plants are more or less envi­ronment friendly.

4. Traditional Knowledge and Practices:- Traditionally, Indian people have close to their environment. If we look back at our agriculture system, healthcare system, ho­using, transport, etc we find that all prac­tices have been environment-friendly.

5. Biopest Control:-With the advent of Gre­en Revolution, the country entered into the use of chemical pesticides to produce more which laid the adverse impacts on soil, wa­ter bodies, milk, meat, and fishes. To meet this challenge, better methods of pest control should be brought. One step is pesti­cides based on plants like neem. Even many animals also help in controlling pests like snakes, peacocks, etc.

6. CNG in Urban Areas:- In Delhi, the use of Compressed Natural Gas as fuel in the public transport system has significantly low­ered air pollution and the air has become cleaner in the last few years.

Answer 27.
a. It is still a dream
b. Better than before
c. A few takes

Answer 28.
d.None of these

Plus One Maths Previous Year Question Papers and Answers

Plus Two Computer Application Model Question Paper 4

Kerala Plus Two Computer Application Model Question Paper 4

Time: 2 Hours
Cool off time: 15 Minutes
Maximum: 60 Scores

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time of 2 hrs.
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read questions carefully before you answering.
  • Read the instructions carefully.
  • Calculations, figures and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provied.
  • Give equations wherever necessary.
  • Electronic devices except non programmable calculators are not allowed in the Examination Hall.

Plus Two Computer Application Previous Year Question Papers and Answers

Part A

Answer all questions from 1 to 5
Plus Two Computer Application Model Question Papers Paper 4A

Question 1.
Name any two data type modifiers in C+ +.
Plus Two Computer Application Model Question Papers Paper 4Q1

Question 2.
Define the term “array traversal”.
Plus Two Computer Application Model Question Papers Paper 4Q2

Question 3.
Which tag is used for hyperlinking in HTML ?
Plus Two Computer Application Model Question Papers Paper 4Q3

Question 4.
What is SCM ?
Plus Two Computer Application Model Question Papers Paper 4Q4

Question 5.
Write the full form of OFDMA.
Plus Two Computer Application Model Question Papers Paper 4Q5

Part B

Answer any nine questions from 6 to 16
Plus Two Computer Application Model Question Papers Paper 4B

Question 6.
Write C++ statement to declare and initialise an array in the following situations.
a. An array of 5 unit prices 18.50, 27.5, 19.00, 12.50, 10.75.
b. An array with letters ‘WELCOME’.
Plus Two Computer Application Model Question Papers Paper 4Q6

Question 7.
Write the output of the following C+ + code.
Plus Two Computer Application Model Question Papers Paper 4Q7

  1. char S1 [10], S2 [10] = “welcome”;
    strcpy(S1, S2);
    cout<<S1;
  2. char S1 [20] = “welcome”;
    char S2 [20] = “to C+ + ”;
    strcat(S1, S2):
    cout<<S1;

Question 8.
Differentiate ‘static’ and ‘dynamic’ webpages.
Plus Two Computer Application Model Question Papers Paper 4Q8

Question 9.
Name any two attribute of <html> tag with use.
Plus Two Computer Application Model Question Papers Paper 4Q9

Question 10.
What is the use of FTP client Software ?
Plus Two Computer Application Model Question Papers Paper 4Q10

Question 11.
Define the following terms in DBMS.
a. Cardinality
b. Domain
Plus Two Computer Application Model Question Papers Paper 4Q11

Question 12.
Categorise the following SQL commands into DDL and DML.
Plus Two Computer Application Model Question Papers Paper 4Q12
(CREATE, INSERT, ALTER, UPDATE)

Question 13.
What is BPR ?
Plus Two Computer Application Model Question Papers Paper 4Q13

Question 14.
Explain the role of “System testing” in the implementation of ERP.
Plus Two Computer Application Model Question Papers Paper 4Q14

Question 15.
What is the use of RFID ?
Plus Two Computer Application Model Question Papers Paper 4Q15

Question 16.
Compare GPRS and EDGE technologies.
Plus Two Computer Application Model Question Papers Paper 4Q16

Part C

Answer any nine questions from 17 to 27
Plus Two Computer Application Model Question Papers Paper 4C

Question 17.
Write the output of the following code segment in C+ + .
Plus Two Computer Application Model Question Papers Paper 4Q17
int sum = 0;
int a[ ] = {1, 2, 3, 4, 5};
for (int i = 0; i<5; i = i + 2)
sum = sum+a [ i ];
cout<<sum;

Question 18.
Explain the use of following built in functions in C+ + .
Plus Two Computer Application Model Question Papers Paper 4Q18
i. abs( )
ii. sqrt( )
iii. pow( )

Question 19.
Compare call by value and call by reference method in C+ + ..
Plus Two Computer Application Model Question Papers Paper 4Q19

Question 20.
Write a short note on “Java Server Pages’’.
Plus Two Computer Application Model Question Papers Paper 4Q20

Question 21.
Name the three attribute of <MARQUEE> with its use.
Plus Two Computer Application Model Question Papers Paper 4Q21
Plus Two Computer Application Model Question Papers Paper 4Q21.1

Question 22.
Consider the following JavaScript Code.
Plus Two Computer Application Model Question Papers Paper 4Q22
<SCRIPT language = “JavaScript”>
var i, s;
for (i=1; i<= 10; i+ + )
{
s = i * i;
document.write(s);
document.write(“<BR>”);
}
</SCRIPT>
a. What will be the output of the program?
b. What is the use of <SCRIPT> tag ?
c. Write the output statement used in the above code.
Plus Two Computer Application Model Question Papers Paper 4Q22.1

Question 23.
Explain three type of “web hosting”,
Plus Two Computer Application Model Question Papers Paper 4Q23

Question 24.
Distinguish alternate key and foreign key.
Plus Two Computer Application Model Question Papers Paper 4Q24

Question 25.
Explain the different levels of data abstraction in DBMS.
Plus Two Computer Application Model Question Papers Paper 4Q25

Question 26.
Explain any three column constraints in SQL.
Plus Two Computer Application Model Question Papers Paper 4Q26

Question 27.
Consider the table ITEM with the fields Item code, Item name, Price. Write sql queries.
a. To Display the maximum and minimum price of items.
b. To remove all records where price < 1000.
c. To display the number of recods in the table.
Plus Two Computer Application Model Question Papers Paper 4Q27

Part D

Answer any two questions from 28 to 30
Plus Two Computer Application Model Question Papers Paper 4D

Question 28.
Consider the C++ program to find the sum of first 10 natural numbers and answer the following questions.
Plus Two Computer Application Model Question Papers Paper 4Q28
# include<iostream>
using namespace std;
int main( )
{
int n, sum = 0;
for (int i=1; i<= 10; i+ + )
sum = sum +i;
cout<<“sum is = ”<<sum;
}
a. Rewrite the above program using do- while loop.
b. What will be output of the above program if we replace i+ + with i = i + 2 in the for loop ?
c. What is the purpose of # include <iostream> ?
Plus Two Computer Application Model Question Papers Paper 4Q28.1
Plus Two Computer Application Model Question Papers Paper 4Q28.2

Question 29.
a. Name the HTML tag to create checkbox, textbox and radio box.
b. Write HTML statement to create the texbox with maximum length 25 and size 30.
c. Write HTML statement to create a submit button with caption “login”.
Plus Two Computer Application Model Question Papers Paper 4Q29

Question 30.
Consider the JavaScript code to display the square of first 10 numbers using the code answer the following.
Plus Two Computer Application Model Question Papers Paper 4Q30
<SCRIPT language = “JavaScript”>
var i, s;
for (i=1; i<=10; i+ + )
{
s=i*i; .
document.write(s);
document.write(“<BR>”);
}
</SCRIPT>
a. Rewrite the above program using while loop.
b. Modify the above program to print the first 10 even numbers.
Plus Two Computer Application Model Question Papers Paper 4Q30.1

ANSWERS

Answer 1.
Signed, short

Answer 2.
Accessing each element of the array atleast once is called array traversal.

Answer 3.
<A> tag

Answer 4.
Supply Chain Management (SCM) consists of all activities associated with moving goods from the supplier to the customer. It begins with collecting raw material and ends with delivering goods to customer.

Answer 5.
Orthogonal Frequency Division Multiple Access

Answer 6.
a. float price [ 5 ] = {18.50, 27.5, 19.00, 12.50, 10.75};
b. char ar [ 7 ] = {‘W, ‘E, L’, ‘C’, ‘O’, ‘M’, ‘E’};

Answer 7.

  1. welcome
  2. welcometo C+ +

Answer 8.
Static websites:

  1. The content and layout of a web page is fixed.
  2. Static web pages never use databases.
  3. Static web pages directly run on the browser and do not require any server side application program.
  4. Static web pages are easy to develop.

Dynamic websites:

  1. The content and layout may change during run time.
  2. Database is used to generate dynamic content through queries.
  3. Dynamic web page runs on the server side application program and displays the results.
  4. Dynamic web page development re-quires programming skills.

Answer 9.
Dir, Lang.

Answer 10.
FTP is used to transfer files from one computer to another on the Internet. FTP client software establishes a connection with a remote server and is used to transfer files from our computer to the server computer.

Answer 11.
a. Cardinality is the number of rows or tuples in a relation.
b. The set of possible values for a column (attribute) is called domain.

Answer 12.
DDL : CREATE, ALTER
DML : INSERT, UPDATE

Answer 13.
BPR is the analysis and redesign of work flow in an enterprise. It deals with changes in the structure and process of business. Re-engineering helps to reduce cost and effective use of resources. Business process re-engineering is a key component of ERP success.

Answer 14.
The software is tested to ensure that it performs properly from both the technical and functional areas of an enterprise. The validity of output can be determined with the help of sample data. If any mistakes are found out at this stage, it should be corrected before the operation of ERP system.

Answer 15.
RFID gives transportation and logistics operations increased visibility into product movement and business process. It increases efficiency by providing real-time data that gives up-to-date information about the products. RFID based business logistic softwares help to lower the operating costs, increase productivity in the distribution centers, maximize on-time deliveries and improve customer service and satisfaction.

Answer 16.
GPRS (General Packet Radio Services) is a packet oriented mobile data service on the 2G on GSM. EDGE (Enchanced Data rates for GSM Evolution) is three times faster than GPRS. It is used for voice communication as well as an internet connection.

Answer 17.
9

Answer 18.

  1. abs( ). It is used to find the absolute value of an integer. It takes an integer as the argument (+ve or -ve) and returns the absolute value.
  2. sqrt( ). It is used to find the square root of a number. The argument to this function can be of type int, float or double. The function returns the non-negative square root of the argument.
  3. pow( ). This function is used to find the power of a number. It takes two arguments x and y. The argument of type int, float or double.

Answer 19.
Call by value method:

  1. Ordinary variables are used as formal parameters.
  2. Actual parameters may be constants, variables or expressions.
  3. The changes made in the formal arguments are not reflected in actual arguments.
  4. Exclusive memory allocation is required for the formal arguments.

Call by reference method:

  1. Reference variables are used as formal parameters.
  2. Actual parameters will be variables only.
  3. The changes made in the formal arguments are reflected in actual arguments.
  4. Memory of actual arguments is shared by formal arguments.

Answer 20.
It is a technology provides a simple and fast way to create dynamic web content. It uses Java as programming language. JSP files have the extension .jsp. To run JSP, Apache Tomcat web server is required. The JSP code consisting of HTML and Java is executed on the web server and the resulting HTML code is sent to the browser. JSP is an integral part of Java 2 Platform Enterprise Edition (J2EE).

Answer 21.
Height: Sets the height of the marquee in pixels or in percentage of browser window height.
Width: This specifies the width of the marquee in pixels or in percentage of browser window’s width value.
Direction: This specifies ttie direction in which marquee should scroN. This can have a value like up, down, left or right.
Direction: This specifies ttie direction in which marquee should scroN. This can have a value like up, down, left or right.

Answer 22.
a. 1
4
9
b. <SCRIPT> tag is used to specify the name of the scripting language used.
c. document.write(s); document.write(“<BR>”);

Answer 23.
1. Shard web hosting:
It is the most common type of web hosting. It is referred to as shared because many different wesites are stored on one single web server and they share resources like RAM and CPU. The features available on shared web servers are generally basic and are not flexible to suit a website that require specific features.
2. Dedicated web hosting:
It is the hosting where the client leases the entire web server and all its resources. The web server is not shared with any other website. Dedicated servers provide guaranteed performance, but they are very expensive. Since the bandwidth is not shared with other websites, it speeds up the access of the website. If the client is allowed to place their own purchased web server in the service providers facility, then it is called co-location.
3. Virtual Private Server (VPS):
It is a physical server that is virtually partitioned into several servers using the virtualization technology. Each VPS works similar to a dedicatd server and has its own separate server operating system, web server soft-ware and packages. VPS provides dedicated amount of RAM for each virtual web server. Each of these VPS works as a fully independent web server. VPS are provided with the rights to install and configure any software on their VPS.

Answer 24.
Alternate key: A candidate key that is not primary key is called alternate key. In the case of two or more candidate keys, only one of them can serve as the primary key. The rest of them are alternate key.
Foreign key: A key in a table can be called j foreign key if it is a primary key in another table. Since a foreign key can be used to link two or more tables it is also called a reference key.

Answer 25.
1. Physical level:
It is the lowest level of abstraction. The physical level describes complex low level data structures in detail. We must decide what file organisations are to be used to store the relations and create auxiliary data structures, called indexes, to speed up data retrieved operations.
2. Logical level:
It is the next higher level of abstraction describes what data is stored in the database, and what relation¬ship exist among those data. It describes : the entire database in terms of a small i number of relatively simple structures. The user of the logical level does not need to ‘ be aware of the complexity. Logical level ; is also referred as conceptual level.
3. View level:
It is the highest level of data-base abstraction and is closest to the users. It is concerned with the way in which 5 individual users view the data. It describes J only a part of the entire database. Most of i the users are not concerned with all the information that is contained in the data-base.

Answer 26.

  1. NOT NULL: It specifies that a column can never have NULL values. NULL is a keyword that represents an empty value. Two NULL values cannot be added, subtracted and compared.
  2. AUTO_INCREMENT: It performs an autoincrement feature. By default, the starting value for this constraint is 1 and will be incremented by 1 for each new record. Only one AUTO_INCREMENT column per table is allowed.
  3. UNIQUE: It ensures that no two rows have the same value in the column specified with the constraint.

Answer 27.
a. SELECT MAX (Price), MIN (Price) FROM ITEM;
b. DELETE FROM ITEM WHERE Price <1000;
c. SELECT COUNT(*) FROM ITEM;

Answer 28.
a. # include<iostream>
using namespace std;
int main ( )
{
int n, sum = 0, i = 0;
do
{
sum = sum + i;
i+ + ;
} while (i<= 10)
cout<<“sum is = ”<<sum;
}
b. 25
c. # include statement, the pre-processor directive to attach a header file to provide information about predefined identifiers and functions used in the program.

Answer 29.
a. <INPUT>
b. <INPUT Type = “text” Name = “age” Size = “30” Maxlength = “25” >
c. <INPUT Type = “Submit” Value= “login”>

Answer 30.
a. <SCRIPT language = “JavaScript”>
var i = 1, s;
while (i<= 10)
{
s=i * i;
document.write(i);
document.write(“<BR>”);
i+ + ;
}
</SCRIPT>
b. <SCRIPT language = “JavaScript”>
var i;
for (i=2; i< = 10; i+2)
{
document.write(i);
document.write(“<BR>”);
}
</SCRIPT>

Plus Two Computer Application Previous Year Question Papers and Answers

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Students can Download Chapter 3 Current Electricity Questions and Answers, Plus Two Physics Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Plus Two Physics Current Electricity NCERT Text Book Questions and Answers

Question 1.
A storage battery of a car has an e.m.f. of 12V. If the internal resistance of the battery is 0.4W, what is the maximum current that can be drawn from the battery?
Answer:
E = 12 V, r = 0.4Ω, I = ?
Since I = \(\frac{E}{r}=\frac{12}{0.4}\) = 30A.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 2.
A battery of e.m.f. 10V and internal resistance 3W is connected to a resistor. If the current in the circuit is 0.5A, what is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed?
Answer:
Given E = 10V, r=3?, I = 0.5, R = ?
Since V = E – Ir
or V= 10 – 0.5 × 3
or V = 8.5 volt
And R = \(\frac{V}{I}=\frac{8.5}{0.5}\) = 17A.

Question 3.

  1. Three resistors 1W, 2W and 3W are combined in series. What is the total resistance of the combination?
  2. If the combination is connected to a battery of e.m.f. 12V and negligible internal resistance, obtain the potential drop across each resistor:

Answer:
Given
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 1
R1 = 1Ω, R2 = 2Ω , R3= 3Ω
1. Total resistance of series combination
R = R1 + R2 + R3
or R – 1 + 2 + 3 = 6Ω.

2. Since V=IR
I = \(\frac{V}{R}=\frac{12}{6}\)
∴ V1 = IR1 = 2 × 1 = 2V
V2 = IR2 = 2 × 2 = 4V
V3 = IR3 = 2 × 3 = 6V.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 4.
A silver wire has a resistance of 2.1W at 27.5°c, and a resistance of 2.7W at 100°C. Determine the temperature coefficient of resistivity of silver.
Answer:
Rt1 = R27.5 = 2.1Ω and
Rt2 = R100 = 2.7Ω
Applying the relation
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 2
a = 0.0039°C-1

Question 5.
The number density of free electrons in a copper conductor estimated is 8.5 × 1028m-3. How long does an electron take in drifting from one end of a wire 3.0m long to its other end? The area of cross-section of the wire is 2.0 × 10-6m2 and it is carrying a current of 3.0A.
Answer:
n = 8.5 × 1028m-3; A = 2 × 10-6m2
I – 3.0A; I = 3m
I = vdneA
\(\frac{3}{t}=\frac{3}{8.5 \times 10 \times 1.6 \times 10 \times 2 \times 10}\)
t = 8.5 × 1128 × 1 .6 × 10-19 × 2 × 10-6
= 27.2 × 10-3sec.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 6.
Choose the correct alternative:

  1. Alloys of metals usually have (greater/ less) resistivity than that of their constituent metals.
  2. Alloys usually have much (lower/higher) temperature coefficients of resistance than pure metals.
  3. The resistivity of alloy manganin (is nearly indepent of/ increases rapidly) with increase of temperature.
  4. The resistivity of a typical insulator (e.g. amber) is greater than that of a metal by a factor of the order of (1022/1023).

Answer:

  1. Greater
  2. lower
  3. nearly independent of
  4. 1022.

Plus Two Physics Current Electricity One Mark Questions and Answers

Question 1.
n equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance?
(a) n
(b) 1/n2
(c) n2
(d) 1/ n
Answer:
(c) n2
Explanation: In series Rs = nR
In parallel \(\frac{1}{Rp}\) = \(\frac{1}{R}\) + \(\frac{1}{R}\) ….n terms, Rp = \(\frac{R}{n}\)
∴ Rs/Rp = n2/1.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 2.
A car battery of emf 12 V and internal resistance 5 × 10-2Ω, receives a current of 60 amp, from external source, then potential difference of battery is.
(a) 12V
(b) 9V
(c) 15V
(d) 20 V
Answer:
(c) 15V
When cell is changed by an external source, terminal voltage, V = E + Ir
V= 12 + 60 × 5 × 10-2
=15.

Question 3.
A flowing of 107 electron persecond in a conducting wire constitutes a current of……….A
(a) 1.6 × 10-12
(b) 1.6 × 1026
(c) 1.6 × 10-26
(d) 1.6 × 1012
Answer:
(a) 1.6 × 10-12
Flow of electrons \(\frac{n}{t}\) = 107/sec.
There fore, Current (I) = \(\frac{q}{t}\) = \(\frac{ne}{t}\) = \(\frac{n}{t}\) × e
= 107 × (1.6 × 10-19)
= 1.6 × 10-12 A.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 4.
Copper and silicon is cooled from 300K to 60K, the specific resistance.
(a) decrease in copper but increase in silicon
(b) increase in copper but decrease in silicon
(c) increase in both
(d) decrease in both
Answer:
(a) decrease in copper but increase in silicon.

Question 5.
State the potentiometer principle.
Answer:
Potential difference between two points of a current carrying conductor is directly proportional to the length of the wire between two points.

Question 6.
Find the current following through the network shown in the figure
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 3
Answer:
Since given circuit is in the form of Wheatstone bridge,
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 4

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 7.
Kirchhoff’s first and second laws of electrical circuits are consequences of……(1)….and…..(2).. respectively
Answer:

  • Conservation of electric charge
  • Energy respectively

Question 8.
Pick the odd one out the following.
(a) Ohm’s law
(b) Lenz’slaw
(c) Coulomb’s law
(d) Gauss’s law
(e) Energy conservation law
Answer:
(a) Ohm’s law (It is not a universal law).

Question 9.
“Ohms law is not a fundamental law” Comment on this.
Answer:
Ohms law is not a universal law because metals do not obey this law at high temperature. Moreover, certain materials (diode and transistors, etc.) does not obey ohms law.

Plus Two Physics Current Electricity Two Mark Questions and Answers

Question 1.
Figure below shows a diagram of a water circuit. In many ways it behaves like an electric circuit. Draw an equivalent electric circuit. (Hint – water-wheel can be replaced by motor)
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 5
Answer:
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 6

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 2.
A, B, C, and D are four rings on a carbon resistor. A = yellow, B = violet, C = Yellow, D, Silver
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 7
1. What is the value of resistance of above resistor?
2. The combined resistance of the above two resistor is

  • 120Ω
  • 45Ω
  • 165Ω
  • 35Ω

Answer:
1. 47 × 104 ± 10%.

2. 12 × 101 + 45 × 10°
120 + 45 = 165Ω.

Question 3.
A = Brown B = Black C= Red D= Gold

  1. What is the value of resistance without considering variation?
  2. If the fourth ring is silver coloured what will be the change in accuracy?

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 8
Answer:

  1. 1000Ω ± 5%
  2. 10%

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 4.
A junction of a electrical circuit is given below. Analyze the figure and answer the following

  1. What is the value of I1 and I2?
  2. State the law that can be applied to find I1 and I2?

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 9
Answer:
1. According Kirchoff first rule
3 + 2 = I + I1
I1 = 4A
I1 = 3 +I2
4 = 3 + I2
I2 = 1A

2. Total current meeting at any junction is zero.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 5.
The following question consists of two statements each, printed as assertion and reason. While answering these questions you should choose any one of the following responses.
Assertion: In a simple battery circuit, the point at the lowest potential is positive terminal of the battery. Reasons: The electrons flows from higher potential to lower potential.
(a) Both assertion and reason are true and the reason is a correct explanation of the assertion.
(b) Both assertion and reason are true but the reason is not a correct explanation of the assertion.
(c) Assertion is true but reason is false.
(d) Both assertion and reason are false.
Answer:
(d) Both assertion and reason are false.

Plus Two Physics Current Electricity Three Mark Questions and Answers

Question 1.
Match the following.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 10
Answer:
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 11

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 2.
Match the following.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 12
Answer:
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 13

Question 3.
“When electric current is passed through a resistance wire, it get heated up”.

  1. Name the law associated with this phenomenon.
  2. What happens to the heat energy developed, if the current through the wire is doubled.

Answer:

  1. Joules law of heating
  2. Heat developed in the conductor H = 12R If current is doubled, Heat developed becomes 4 times.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 4.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 14
1. Name the pd between terminals of the cell when

  • key K is open
  • K is closed

2. What is the reason for the difference in potential in the above two cases?
Answer:
1. key K is open

  • e.m.f
  • voltage.

2. Emf in a circuit
E = Ir + V
When key is open, I = 0
∴ E = V
When key is closed I ? 0
∴ V = E – Ir.

Question 5.
The variation of resistivity (ρ) with temperature (T) of a conductor, semiconductor and super conductor are given in the figure.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 15
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 16

  1. Identify them from the graph. (1)
  2. Identify the figure in which the temperature coefficient of resistance of the material is positive. (1)
  3. Write the equation connecting resistivity of the material with relaxation time. (1)

Answer:
1. From the graph:

  • Fig (i) – Conductor
  • Fig (ii) – Superconductor
  • Fig (iii) – Semiconductor

2. Fig(i)

3. We have resistivity (ρ) from equation.
ρ = \(\frac{m}{n e^{2} \tau}\), where t is the relaxation time, m mass of electron, n number density of electron and e charge of electron.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 6.
When an animal touches an ‘electric-fence’ the animal gets a shock by completing an electrical circuit.

  1. Draw an equivalent circuit using symbols, which shows the completed electrical circuit. (Assume that the animal has a resistance)
  2. How much charge passes through the animal, if it receives a current pulse of 20mA for 0.1 seconds.
  3. When a bird perches on the electric fence, the bird will not get a shock. Why?

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 17

2. 1 = Q/t
Q = 1 × t = 20 × 10-3 × 0.1 = 20 × 10-4C

3. Since the bird does not come in contact with the earth, its body is at same potential. So there is no potential difference and current. Hence the bird will not get a shock.

Question 7.
1. Pd between terminals when k is open is called

  • emf
  • lost voltage
  • terminal voltage
  • induced voltage

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 18

2. Give an equation connecting R, r, I and E What is the value of E for open circuit and ideal cell.

3. What happens to terminal voltage if current increases

  • for an ideal cell
  • for an ordinary cell.

Answer:
1. e.m.f

2. E = I(r+R).

3. For ideal cell, internal resistance is zero. Hence E = v. ie. terminal voltage does not change with current.
For ordinary cell, when current increases, V decreases.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 8.

  1. What is the current through this circuit?
  2. What is p.d. across 2Ω and 3Ω?
  3. What is potential at A?
  4. What is potential at B?

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 19
Answer:
1. Current I = \(\frac{\text { total voltage }}{\text { total resistance }}\)
I = \(\frac{5}{2+3}\) = 1A

2. Voltage across 2Ω
V = 1 × 2
V2 = 2 V
Voltage across 3Ω
V = 1 × 3 = 3V

3. 5V

4. 3V

Question 9.
The relation between Voltage V (across the conductor) and current I through the conductor is given in the graph.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 20

  1. Which law establishes the relation between voltage and current?
  2. A metal wire of resistivity 6.4 × 10-5 ohm-cm and length 1.98 m has a resistance of 7Ω. Find radius of wire

Answer:
1. Ohms law

2. Resistance of wire R = \(\frac{ρl}{A}\)
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 21
= 2 × 10-3m.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 10.
A circuit diagram of an instrument is given below.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 22

  1. Identify the instrument and state the principle of this instrument
  2. Modify the circuit diagram to compare the emf of two cells.
  3. How can increase the sensitivity of this instrument?

Answer:
1. Potentio meter

2. Comparison of e.m.f of two cells using potentiometer
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 23
a. Principle:
Potential difference between two points of a current carrying conductor (having uniform thickness) is directly proportional to the length of the wire between two points.

b. Circuit details :
A battery (B1), Rheostat and key are connected in between A and B. This circuit is called primary circuit. Positive end of E1 and E2 are connected to A and other ends are connected to a two way key. Jockey is connected to a two key through galvanometer. This circuit is called secondary circuit.

c. Working and theory :
Key in primary circuit is closed and then E1 is put into the circuit and balancing length l1 is found out.
Then E1∝ l1 …………(1)
Similarly E2 is put into the circuit and balancing length (l2) is found out.
Then, E2  l2 (2)
Dividing Eq(1)byEq(2),
\(\frac{E_{1}}{E_{2}}=\frac{l_{1}}{l_{2}}\)………..(3)

3. Increase the length of potentio meter wire.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 11.
A long resistance wire is stretched between two iron nails. A battery of 2V is applied across the wire. One end of a torch bulb is connected to nail and other end is made in contact as shown in figure.
1. If this wire slides over the resistance wire from nail 1 to nail 2, what happens to the brightness of the bulb.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 24

  • Increases
  • Decreases
  • Remains constant
  • First increases then decreases.

2. How this principle is used to determine internal resistance of cell.

3. What happens to the reading, if we change 2V with 3V during the time of reading.

Answer:
1. Increases.

2. Measurement of internal resistance using potentiometer Principle:
[Same as before]
a. Circuit details :
Battery B1 Rheostat and key K1 are connected in between A and B. This circuit is called primary.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 25
In the secondary circuit a battery E having internal resistance ‘r’ is connected. A resistance box (R) is connected across the battery through a key (K2). Jockey is connected to battery through galvanometer.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

b. Working and theory :
The key (K1) in the primary circuit is closed and the key is the secondary (K2) is open. Jockey is moved to get zero deflection in galvanometer. The balancing length l1, (from A) is found out.
Then we can write.
E1∝ l1 ____(1)
Key K2 is put in the circuit, corresponding balancing length (l2) is found out. Let V be the applied voltage, then
V1 l1 ____(2)
‘V’ is the voltage across resistance box. Current through resistance box ie, voltage across resistance,
V = \(\frac{E R}{(R+r)}\) _____(3)
Substituting eq (3) in eq (2),
\(\frac{E R}{(R+r)}\) l2 ______(4)
Dividing eq (1) by eq (4),
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 26
r = \(\frac{\mathrm{R}\left(l_{1}-l_{2}\right)}{l_{2}}\)

3. Primary Voltage should not change while doing experiment. When we use 3v instead of 2v, potential gradient will change. Hence balancing length will change.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 12.
“Electric current has both direction and magnitude”

  1. What is meant electric current
  2. What is the conventional direction of electric current
  3. Even though current has both magnitude and direction it is not a vector quantity. Why?
  4. Thermal Motion of electrons in a conductor cannot constitute an electric current. Why?

Answer:

  1. Rate of flow of charge is called current I = dq/dt
  2. Direction of motion of positive charges
  3. It does not obey vector law of addition
  4. Average velocity of thermal motion is zero. Hence thermal motion does not produce current.

Question 13.
Match the following

A B
Metals Cooper pairs
Semiconductors electrons and holes
superconductors positrons
electrons

Answer:

  1. Metals – electrons
  2. Semiconductors – electrons and holes
  3. Superconductors – cooper pairs

Plus Two Physics Current Electricity Four Mark Questions and Answers

Question 1.
A cell arid two resistors R1 and R2 are provided to you.

  1. Draw different combinations of resistors using R1, R2, and the cell.
  2. Derive an expression for the effective resistance of the circuit in which current is the same in both resistors
  3. lf R1= 4Ω and R2 = 6Ω, in which combination effective resistance is minimum? Find its value?

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 27
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 28

2. Derive an expression for effective resistance in series:
Consider three resistors R1, R2 and R3 connected in series and a pd of V is applied across it.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 29
In the circuit shown above the rate of flow of charge through each resistor will be same i.e. in series combination current through each resistor will be the same. However, the pd across each resistor are different and can be obtained using ohms law.
pd across the first resistor V1 = I R1
pd across the second resistor V2 = I R2
pd across the third resistor V3 = I R3
If V is the effective potential drop and R is the effective resistance then effective pd across the combination is
V = IR
Total pd across the combination = the sum pd across each resistor, V = V1 + V2 + V3
Substituting the values of pds we get IR = IR1 + IR2 + IR3
Eliminating I from all the terms on both sides we get
R = R1 + R2 + R3 ………(1)
Thus the effective resistance of series combination of a number of resistors is equal to the sum of resistances of individual resistors.

3. The effective resistance becomes minimum in parallel connection.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 30
R = 2.4Ω.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 2.
1. State whether the following statement is true or false “The value of resistance of a metal increase with the rise of temperature”.

2. Explain the reason.

3. With the help of the graph, match the following
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 31
4. Alloys like manganin, eureka, constantan, etc. are used in making standard resistance coils. Why?
Answer:
1. True.

2. When temperature increases, the amplitude of vibration of atom increases. Hence relaxation time decreases. Hence resistivity of metal increases according to the equation
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 32

3.
A_____Carbon
B_____Manganin
C_____Iron.

4. The temperature coefficient of resistance of manganin, eureka and constantan, etc are zero. Hence they are used in making standard resistance coils.

Question 3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 33
1. Identify the above device and give the principle behind it.

2. Obtain the mathematical condition for the galvanometer current to be zero.

3. If the balancing length T obtained fora resistance wire in the arrangement is 40cm. Find the new balancing length if the same resistance wire is folded to half its length and connected to the same gap.
Answer:
1. Meter bridge.

2. We get galvanometer current as zero, when P/Q = R/S. For derivation of P/Q=R/S
Wheatstone’s Bridge:
Four resistances P, Q, R, and S are connected as shown in figure. Voltage ‘V’ is applied in between A and C. Let I1, I2, I3 and I4 be the four currents passing through P, R, Q, and S respectively.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 34

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity
Working:
The voltage across R
When key is closed, current flows in different branches as shown in figure. Under this situation
The voltage across P, VAB = I1P
The voltage across Q, VBC = I3Q ……(1)
The voltage across R, VAD = I2R
The voltage across S, VDC = I1S
The value of R is adjusted to get zero deflection in galvanometer. Under this condition,
I1 = I3 and I2 = I4……(2)
Using Kirchoff’s second law in loopABDA and BCDB, weget
VAB = VAD ……….(3)
and VBC = VDC …….. (4)
Substituting the values from eq(1) into (3) and (4), we get
I1P = I2R……….(5)
and I3Q = I4S……..(6)
Dividing Eq(5) by Eq(6)
\(\frac{I_{1} P}{I_{3} Q}=\frac{I_{2} R}{I_{4} S}\)
\(\frac{P}{Q}=\frac{R}{S}\) [since I1 = I3 and I2 = I4]
This is called Wheatstone condition.

3. When we apply this condition in meter bridge, we get
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 35
If wire is folded, New resistance x1 = \(\frac{x}{2}\)
Substituting this in P/Q = R/S we get
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 36

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 4.
1. Potentiometer is better than voltmeter for measuring emf because

  • It is cheap
  • Easy to handle
  • Its measurement uses null method

2. Give the basic principle of potentiometer,

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 37
If K2 is open balancing length is 600cm, if K2 is closed 350cm is balancing length. Calculate the internal resistance.

Answer:
1. Its measurement uses null method.

2. Principle:
Potential difference between two points of a current carrying conductor (having uniform thickness) is directly proportional to the length of the wire between two points.

3. I = 600cm, I = 350 cm
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 38

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 5.
Under an external electric field electrons drift slowly inside the conductor.
1. The velocity of drift is

  • 1 mm/s
  • 105 m/s
  • 3 × 108 m/s
  • 3 × 109 m/s

2. What is meant by relaxation time?

3. Write an expression for drift velocity in terms of relaxation time.

4. When temperature increases what happens to drift velocity?
Answer:
1. 1mm/s.

2. The average time between two successive collision is called relaxation time.

3. Vd = \(\frac{\mathrm{eE}}{\mathrm{m}}\) t

4. We know drift velocity
Vd = \(\frac{\mathrm{eE}}{\mathrm{m}}\) t
When temperature increases, relaxation time decreases. As a result drift velocity decreases.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 6.
1. State whether the following statement is correct. “If the current through the cell is from its positve to negative, against the direction of emf, then the potential drop across the internal resistance aids the emf of the cell. (1)

2. You are given two cells. Group them so that they give more voltage. Arrive at the expression for effective emf and internal resistance. (3)
Answer:
1. True. Internal resistance and lost volt always opposes current flow through the cell”.

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 39
Considertwo cells in series. Let ε1, r1 be the emf and internal resistance of first cell. Similarly ε2, r2 be the emf and internal resistance of second cell. Let I be the current in this circuit.

From the figure, the P.d between A and B
VA – VB = ε1 – 1 ………(1)
Similarly P.d between B and C
VB – VC = ε2 – 1 ……..(2)
Hence, P.d between the terminals Aand C
VAC = VA – VC = VA – VB + VB – VC
VAC = [VA – VB] + [VB – VC]
when we substitute eqn. (1) and (2) in the above equation.
VAC = ε1 – Ir1 + ε2 – Ir2
VAC = (ε1 – ε2) – I(r1 + r2)
VAC = εeq – Ireq
where εeq = ε1 + ε2, and req = r1 + r2

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 7.
The resistance value of a conductor depends on its physical dimensions.
1. Give the expression for resistance of a conductor in terms of its physical dimension.

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 40
(l length and d diameter) A potential V is applied between the ends of two conductor of same material shown in the figure.

  • Express the resistance of the second conductor in terms of the resistance of the first conductor. (1)
  • Find the ratio of electric field across the two conductors.

Answer:
1. R = ρ \(\frac{1}{A}\)
l – length of the conductor and
A – Area of cross section

2.
a.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 41
b.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 42

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 8.
Three resistors R1, R2, R3 are to be combined as shown in the figure.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 43

  1. Identify the series and parallel combinations. (1)
  2. Which combination has lowest resistance. Arrive at the expression for the effective resistance of this combination. (3)

Answer:
1. Fig(i) – parallel Fig. (ii) – series

2. Fig. (i)
Let V be the potential between A and B.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 44
I = I1 + I2 + I3
and applying Ohm’s law to R1, R2 and R3 we get,
V= I1R1,V=I2R2,V=I3R3
So that
I = I1 + I2 + I3 = V\(\left(\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}\right)\)
An equivalent resistance Req that replace the combination, and hence
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 45

Question 9.
An electric circuit is given in the Figure.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 46
The potential difference between A and D is 40V.

  1. Find the effective resistance between A and D in terms of R. (1)
  2. Calculate the potential difference between A and O.

Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 47

2. VAD = VAO + VOD
But VOD = 3VAO
∴ VAD = VAO + 3VAO
40 = 4VAO
VAO = \(\frac{40}{4}\) = 10V.

Plus Two Physics Current Electricity Five Mark Questions and Answers

Question 1.
Resistance are used to reduce the current flow in a circuit.
1. A carbon resistor has coloured strip and shown in the figure. What is its resistance?
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 48
2. Resistance can be connected in series and parallel to obtain the required value of resistance. Derive an expression for the effective resistance when three resistors are connected in parallel.

3. Kirchhoff’s rules are used to analyses the electric circuit. Use it to analyze the Wheatstone Bridge and arrive at Wheatstone’s condition for balancing the bridge.
Answer:
1. blue, Gray, yellow, gold
1st – Blue – 6
IInd – Gray – 8
IIIrd – Yellow – 104
Iv – gold – 5%
68 × 104 ± 5%.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

2. Derive an expression for effective resistance in series:
Consider three resistors R1, R2 and R3 connected in series and a pd of V is applied across it.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 49
In the circuit shown above the rate of flow of charge through each resistor will be same i.e. in series combination current through each resistor will be the same. However the pd across each resistor are different and can be obtained using ohms law.
pd across the first resistor V1 = I R1
pd across the second resistor V2 = I R2
pd across the third resistor V3 = I R3
If V is the effective potential drop and R is the effective resistance then effective pd across the combination is
V = IR
Total pd across the combination = the sum pd across each resistor, V = V1 + V2 + V3
Substituting the values of pds we get IR = IR1 + IR2 + IR3
Eliminating I from all the terms on both sides we get
R = R1 + R2 + R3 ………(1)
Thus the effective resistance of series combination of a number of resistors is equal to the sum of resistances of individual resistors.

3. Wheatstone’s Bridge:
Four resistances P,Q,R and S are connected as shown in figure. Voltage ‘V’ is applied in between A and C. Let I1, I2, I3 and I4 be the four currents passing through P,R,Q and S respectively.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 50

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity
Working:
The voltage across R
When key is closed, current flows in different branches as shown in figure. Under this situation
The voltage across P, VAB = I1P
The voltage across Q, VBC = I3Q ……(1)
The voltage across R, VAD = I2R
The voltage across S, VDC = I1S
The value of R is adjusted to get zero deflection in galvanometer. Under this condition,
I1 = I3 and I2 = I4……(2)
Using Kirchoff’s second law in loopABDA and BCDB, weget
VAB = VAD ……….(3)
and VBC = VDC …….. (4)
Substituting the values from eq(1) into (3) and (4), we get
I1P = I2R……….(5)
and I3Q = I4S……..(6)
Dividing Eq(5) by Eq(6)
\(\frac{I_{1} P}{I_{3} Q}=\frac{I_{2} R}{I_{4} S}\)
\(\frac{P}{Q}=\frac{R}{S}\) [since I1 = I3 and I2 = I4]
This is called Wheatstone condition.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 2.
A rectangular conductor of length I and area of cross section A and electron density n; is shown below.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 51

  1. When the face Y is given positive potential and X negative potential what will happen to the electrons inside the block
  2. What is meant by drift velocity? How is it related to the field inside the metal?
  3. Deduce an expression connecting intensity of electric field and drift velocity.
  4. Under the application of an electric field do all the electrons move in a same direction? Explain

Answer:
1. Electrons will be accelerated towards the side Y.

2. Drift Velocity (vd):
The average velocity acquired by an electron under the applied electric field is called drift velocity.
Explanation :
When a voltage is applied across a conductor, an electric filed is developed. Due to this electric field electrons are accelerated. But while moving they collide with atoms, lose their energy and are slowed down. This acceleration and collision are repeated through the motion. Hence electrons move with a constant average velocity. This constant average velocity is called drift velocity.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

3. Expression for drift velocity :
Let ‘V’ be the potential difference across the ends of a conductor. This potential difference makes an electric field E. Under the influence of electric field E, each free electron experiences a Coulomb force.
F = -eE
or ma = -eE
a = \(\frac{-e E}{m}\) ……….(1)
Due to this acceleration, the free electron acquires an additional velocity. A metal contains a large number of electrons.
For first electron, additional velocity acquired in a time τ,
v1 = u1 + aτ1
where u1 is the thermal velocity and τ is the relaxation time.
Similarly the net velocity of second, third……electron
v2 = u2 + aτ2
v3 = u3 + aτ3
vn = un + aτn
∴ Average velocity of all the ‘n’ electrons will be
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 52
Vav = 0+ aτ (∴ average thermal velocity of electron is zero)
where
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 53

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity
where Vav is the average velocity of electron under an external field. This average velocity is called drift velocity.
ie. drift velocity Vd = aτ……(2)
Substitute eq (1) in eq (2)
Vd = \(\frac{-e E}{m}\) τ

4. Electrons will continues its random thermal motion even in the presence of electric field.

Question 3.
To study the relation between potential difference and current in an electrical circuit, a student is provided with a resistance wire, a cell, and a key.
1. Draw a circuit which allows current flow through the resistance wire.

2. Modify the circuit by introducing an ammeter, Voltmeter and a rheostat for varying the potential difference across the resistance and to measure that potential difference and the corresponding current.

3. Let in the above experiment the student obtained the following data.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 54
Draw a graph connecting V and I using above data. Then establish the relation between V and I as a law.

4. Instead of the resistance wire if the student uses a p-n junction diode in the forward biased condition how the relation between V and I changes? Justify.
Answer:
1.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 55

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 56

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 57
The above graph shows that, current flowing through a conductor is directly proportional to potential difference across it ends.

4. The relation between V and I becomes nonlinear. Because, Pn diode does not obey ohms law.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 4.
In all metallic conductors, electric conduction is due to drifting of free electrons. But the resistivity of different metals are different.

  1. Write the expression for resistivity of a conductor in terms of its dimensions.
  2. Name the factors on which resistivity of a metal depends.
  3. Arrive at an expression for electrical resistivity of a metal in terms of relaxation time.
  4. Using the above expression explain the variation of resistivity with temperature.

Answer:
1. ρ = \(\frac{RA}{l}\).

2. Temperature and Nature of metal

3. We know current density
J = nvde
But Vd = \(\frac{e E}{m}\) τ
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 58

4. When temperature increases, the amplitude of oscillation of atom increases. This will decrease . the relaxation time and hence resistivity increases.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 5.
You are supplied with a 1m long uniform resistance wire of resistance 3Ω and a cell of emf 1.5v.

  1. Can you construct a potentiometer using 1m wire? If no, give reason; if yes, what is the least count of the arrangement?
  2. Draw the connection diagram to compare the emf of Leclanche cell and Daniel cell using this arrangement.
  3. How can you modify above arrangement to measure a p.d. in the range 0-1 mV with a least count of 0.15m V.

Answer:

1. Yes, LC is 1.5mV

2.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 59

3. To get least count of 0.15mV, 10m wire has to be used.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 6.
A circuit diagram is given below. Analyze the figure and answer the following questions.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 60

  1. The above circuit is a modification of……..
  2. What is the value of balancing length?
  3. If 1.5 V cell is replaced by a 3V cell what will be the balancing length?
  4. Calculate the value of X.

Answer:
1. Wheatstone bridge.

2. 100-20=80cm

3. No change in balancing length

4. P/Q = R/S
ie X/5 = 80/20
x = 80/20 × 5 = 20Ω.

Question 7.

  1. Define electric power. What is its SI unit? (2)
  2. Two bulbs of 50W, 220V and 100W, 220V are given. How will you connect the bulbs so that 50W, 220V bulb will glow brighter than 100W, 220V bulb. (1)
  3. When the bulb 50W, 220V is connected to an 110V supply calculate the power generated. (2)

Answer:
1. The energy dissipated per unit time is the power.
P = \(\frac{\Delta \mathrm{W}}{\Delta \mathrm{t}}\)
P = IV =I2R = \(\frac{V^{2}}{R}\)
Unit is watt.

2. In series
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 61

3.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 62

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 8.
The figure shows the diagram of a potentiometer.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 63
1. Give the principle of a potentiometer. (1)

2. The length of AB is 3m and resistance per unit length of the potentiometer wire is 4Ω/m. If E1 = 4V, R = 20Ω and E2 = 1V find the length of the potentiometer wire that balance E2. (3)

3. If E2>E1 can we get the null deflection in galvanometer. Give reason. (1)
Answer:
1. When a constant current is flowing through a wire having uniform area of cross section and uniform composition the potential difference across any length of the wire is directly proportional to its length.
V ∝ l.

2. The resistance of potentiometer
Rp = 4 × 3 = 12Ω
Current through the potentiometer
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 64
Potential across potentiometer wire
VAB = IRp = 0.125 × 12 = 1.5V
Potential gradient k = \(\frac{V_{A B}}{I}=\frac{1.5}{3}\) = 0.5 V/m
Balancing length for cell E2 is given from equation
E2 = kI2 = 0.5I2
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 65

3. If E2 > E1, we will not get null deflection. The potential difference across the potentiometer wire AB should be higher than the emf of E2.

Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity

Question 9.
Plus Two Physics Chapter Wise Questions and Answers Chapter 3 Current Electricity - 66

  1. When the switch is closed will all the bulbs glow? Give reason. (2)
  2. Identify the underlying principle. Deduce the principle for a resistance network. (3)

Answer:
1. No. Since all the bulbs are identical the bridge is balanced. So potential B and C is same and no current flows through the bulb connected between B and C. So all other bulbs except R5 will glow.

2. Four resistances P, Q, R, and S are connected as shown in figure. Voltage ‘V’ is applied in between A and C. Let I1, I2, I3, and I4 be the four currents passing through P, R, Q, and S respectively.

Plus Two Computer Application Model Question Paper 3

Kerala Plus Two Computer Application Model Question Paper 3

Time: 2 Hours
Cool off time: 15 Minutes
Maximum: 60 Scores

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time of 2 hrs.
  • Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
  • Read questions carefully before you answering.
  • Read the instructions carefully.
  • Calculations, figures and graphs should be shown in the answer sheet itself.
  • Malayalam version of the questions is also provied.
  • Give equations wherever necessary.
  • Electronic devices except non programmable calculators are not allowed in the Examination Hall.

Plus Two Computer Application Previous Year Question Papers and Answers

Part A

Answer all questions from 1 to 5
Plus Two Computer Application Model Question Papers Paper 3A

Question 1.
Character array is also called ……………..
Plus Two Computer Application Model Question Papers Paper 3Q1

Question 2.
What is a Form handler?
Plus Two Computer Application Model Question Papers Paper 3Q2

Question 3.
What is the basic protocol followed in internet communication?
Plus Two Computer Application Model Question Papers Paper 3Q3

Question 4.
SAP stands for …………..
Plus Two Computer Application Model Question Papers Paper 3Q4

Question 5.
Define enterprise resource planning.
Plus Two Computer Application Model Question Papers Paper 3Q5

Part B

Answer any nine questions from 6 to 16
Plus Two Computer Application Model Question Papers Paper 3B

Question 6.
Write the output of the following web page and justify your answer.
Plus Two Computer Application Model Question Papers Paper 3Q6

<HTML>
<BODY>
<SCRIPT language= “JavaScript’’>
var x, y, z;
x = “10”;
y = “20”;
z = x + y;
document.write(z);
</SCRIPT>
</BODY>
</HTML>

Question 7.
Categorize the following tags into container tags and empty tags.
Plus Two Computer Application Model Question Papers Paper 3Q7

Question 8.
Mention any two values of Type attribute and explain its use in the form.
Plus Two Computer Application Model Question Papers Paper 3Q8

Question 9.
How is responsive web design implement-ed?
Plus Two Computer Application Model Question Papers Paper 3Q9

Question 10.
a. What is responsive web design?
b. Why is it gaining importance recently?
Plus Two Computer Application Model Question Papers Paper 3Q10

Question 11.
Explain about sophisticated user.
Plus Two Computer Application Model Question Papers Paper 3Q11

Question 12.
What is the importance of primary key in a table?
Plus Two Computer Application Model Question Papers Paper 3Q12

Question 13.
Write a short note about any two ERP solution providers.
Plus Two Computer Application Model Question Papers Paper 3Q13

Question 14.
“Infomania has become a psychological problem”. Write your opinion.
Plus Two Computer Application Model Question Papers Paper 3Q14

Question 15.
What is a smart card? How it is useful?
Plus Two Computer Application Model Question Papers Paper 3Q15

Question 16.
What do you mean by big data in business? Explain big data analytics.
Plus Two Computer Application Model Question Papers Paper 3Q16

Part C

Answer any nine questions from 17 to 27
Plus Two Computer Application Model Question Papers Paper 3C

Question 17.
Consider the following program:
Plus Two Computer Application Model Question Papers Paper 3Q17
# include<iostream>
Using namespace std;
int main ( )
{
for (int i=1; i<10; i+ + )
{
if (i % 2 = = 0)
continue;
cout<<i;
}
}
Predict the output of the program. Justify your answer?

Question 18.
Rewrite the following C++ code using switch statement.
Plus Two Computer Application Model Question Papers Paper 3Q18
if(choice== ‘S’)
cout<<“Science”;
else if (choice== ‘C’)
cout< <“ Commerce”;
else if (choice== ‘H’)
cout<<‘‘Humanities”;
else ‘
cout«“Invalid Option”;

Question 19.
The prototype of p function is: W fun(int, int); The following function calls are invalid. Give reason for each.
Plus Two Computer Application Model Question Papers Paper 3Q19

Question 20.
Discuss the scope of global and local variables.
Plus Two Computer Application Model Question Papers Paper 3Q20

Question 21.
In HTML how can we divide a browser window?
Plus Two Computer Application Model Question Papers Paper 3Q21

Question 22.
Aliya wants to display three web pages (A.htm, B.htm, C.htm) on the same scre¬en horizontally at the ratio 20%, 40%, 40%. Write the HTML code for the same.
Plus Two Computer Application Model Question Papers Paper 3Q22

Question 23.
Classify the following values in JavaScript into suitable data types.
Plus Two Computer Application Model Question Papers Paper 3Q23

Question 24.
Write a note on procedures.
Plus Two Computer Application Model Question Papers Paper 3Q24

Question 25.
What are the advantages of views in MySQL
Plus Two Computer Application Model Question Papers Paper 3Q25

Question 26.
What is copyright? How does it differ from patent?

Question 27.
Write a function which accepts an integer value as an argument and calculate its factorial. Call this function from main ( ) and print the result in main ( ).
Plus Two Computer Application Model Question Papers Paper 3Q27

Part D

Answer any two questions from 28 to 30
Plus Two Computer Application Model Question Papers Paper 3D

Question 28.
Read the following C++ code segment and replace it with a looping statement:
Plus Two Computer Application Model Question Papers Paper 3Q28

Question 29.
What are scripts? Explain the different scripting languages.
Plus Two Computer Application Model Question Papers Paper 3Q29

Question 30.
Explain operators in JavaScript.
Plus Two Computer Application Model Question Papers Paper 3Q30

ANSWERS

Answer 1.
string

Answer 2.
A form handler is a program on the web server that manage the data sent through the form.

Answer 3.
TCP/IP

Answer 4.
Systems, Applications and Products

Answer 5.
Enterprise Resource Planning (ERP) is business process management software that allows an organization to use a system of integrated applications to manage the business and automate many back office functions related to technology, services and human resources.

Answer 6.
It will display 1020. Operator + is used to add two strings. Adding two string means concatenating two strings. If the operands are numbers, it will add the numbers. If the operands are strings it will concatenate the strings. If + operator sees any one operand as string, it will treat both the operands as string type and concatenate the strings.

Answer 7.
Empty tag: <FRAME>, <INPUT>
Container tag <FRAMESET>, <A>

Answer 8.
Values of type attribute is radio, check box. Radio button: Used to select a single value from a group of values. Check box: It is useful for accepting Yes/ No inputs from the viewers.

Answer 9.
It can be implemented using flexible grid layout, flexible images and media queries. Flexible grid layouts set the size of the en-tire web page to fit the
display size of the device. Flexible images and videos set the image/ video dimensions to the percentage of display size of the device. Media queries provide the ability to specify defferent styles for individual devices.

Answer 10.
a. Responsive web design is the custom of building a website suitable to work on every device.
b. Today people visit websites using tablets and mobile phones/proper display of websites in devices.

Answer 11.
Sophisticated users include engineers, scientists, business analysts and others who are thoroughly familiar with the facilities of the DBMS. They interact with the systems through their own queries (a re-quest to a database) to meet their complex requirements.

Answer 12.
Primary key is a set of one or more attributes that can uniquely identify tuples within the relation. It cannot contain null value and duplicate value.

Answer 13.
Oracle: Head quarters at Redwood shores, California, USA. Oracle was working for its database rather than ERP. Oracle is famous for its finance and accounting module. It also provide Customer Relationship Management (CRM) software and Supply Chain management software (SCM). Tally ERP: Indian company with head quarters at Banglore. Provide ERP solution for accounting, inventory and payroll.

Answer 14.
Infomania may result in neglecting the .more important things like duties, family, etc. It is now treated as a psychological problem. Constantly checking e-mails, social networking sites, online news, etc. are the symptoms of infomania. Studies prove that people addicted to infomania lose concentration and sleep.

Answer 15.
It is a plastic card with a computer chip or memory that stores and transacts data. A smart card (may be like an ATM card) reader used to store and transmit data. The advantages of smart card is that it is secure, intelligent and is easy to carry.

Answer 16.
Big data analytics is the process of examining large data sets containing a variety of data types to uncover hidden patterns, market trends, customer preferences and useful business information. Big data analytics provide an opportunity for business firms to answer questions that were previously considered beyond their reach. This opened the doors to a new world of possibilities to interact effectively with the customer, with the knowledge of his preferences.

Answer 17.
The output is 113579. continue statement is used for skipping over depart of the code within the loop-body anchforcing the next iteration.

Answer 18.
switch(choice)
{
case ‘S’: cout<<“Science”; break;
case ‘C’: cout<<“Commerce”; break;
case ‘H’: cout<<“Humanities”; break;
default : cout<<“lnvalid Option”;
}

Answer 19.
a. The variable is not receive the value returned by fun( );
Correct is val = fun(2,4);
b. No arguments are used with function call.
cout<<fun(a,b);
c. Arguments in function call are not int type.
val = fun(2,3);

Answer 20.
Scope of local variables:

  1. Declared within a function or a block of statements.
  2. Available only within that function or block.
  3. Memory is allocated when the function or block is active and freed when the execution of the function or block is completed.

Scope of global variables:

  1. Declared outside all the functions.
  2. Available to all the functions of the program.
  3. Memory is allocated just before the ex-ecution of the program and freed when the program stops execution.

Answer 21.
The browser window can be divided into two or more panes to accommodate different pages simultaneously. HTML provides a facility called frameset to partition the browser window into different sections. Each section accommodates different HTML pages. Each individual section created by a frameset is called a frame. To create a frameset, we can use <FRAMESET> and <FRAME> tags.

Answer 22.
<FRAMESET ROWS = “20%, 40%, 40%”>
<FRAME Src= “A.htm”>
<FRAMESrc= “B.htm”>
<FRAME Src= “C.htm”>
</FRAMESET >

Answer 23.
Number: 67.4, .98
String: “Welcome’’, “123”, “true”, “hello”
Boolean: false

Answer 24.
Procedures refer to the instructions and rules that govern the design and use of database. The users of the system and the person that manages the database require documented procedures on how to use or run the system. These consist of instruction on how to:

  • log onto the DBMS.
  • use a particular DBMS facility or application program.
  • start and stop the DBMS.
  • make backup copies of the database or handle hardware or software failures.
  • reorganise the database across multiple disks, improve performance or archive data to secondary storage.

Answer 25.

  1. Without sparing extra storage space, we can use the same table as different tables (but virtual).
  2. The views implement sharing along with privacy.
  3. It also helps to reduce the complexity of conditions with WHERE clause while retrieving, updating or deleting records from tables.

Answer 26.
Copyright: It is a legal right given to the creators for an original work, usually for a limited period of time. The general rule is that the copyright lasts for 60 years after the death of the last surviving author. Registration of copyright gives a legal status to a creative work.
Patents: It is the exclusive rights granted for an invention. The term of every patent India is 20 years from the date of patent application. Once a patent expires, the protection ends and an invention can be used by the public freely.

Answer 27.
# include<iostream> using namespace std; int fact(int);
int main( )
{
int n, r;
cout«“Enter the value:”;
cin>>n;
r = fact(n);
cout<<r;
return 0;
}
int fact(int N)
{
int f;
for(f = 1; N>0; N- -) f = f*N; return f;
}

Answer 28.
# include <iostream> using namespace std; int main( )
{
int n, r, s = 0; cout<<“Enter the number: cin>>n; while(n!= 0)
{
r = n % 10; s = (s * 10)+ r; n = n/10;
}
cout«“The reverse of the number is”
<<s;
return 0;
}

Answer 29.
Scripts are program codes written inside HTML pages. They are written using a text editor like notepad. Scripting languages are:
JavaScript: It is a client side scripting language used to make web pages inter-active which was developed by Brendan Eich. On the client side, JavaScript is implemented as an interpreted language. JavaScript can be inserted inside HTML code or can be written as an external file and then included inside HTML file.
VBScript: It is a scripting language developed by Microsoft Corporation based on the popular programming language Visual Basic.
PHP: It is an open source general-purpose scripting language that is suited for web development and can be embedded into HTML code. It is a server side scripting tool. The main objective of PHP is to develop dynamic web pages at ease.
ASP (Active Server Pages): It can be used to create and run interactive web applications. ASP contains HTML and a scripting language code. The scripting language can be VBScript or JavaScript. ASP files have the extension .asp.
Java Server Pages (JSP): It is a technology provides a simple and fast way to create dynamic web content. It uses Java as programming language. JSP files have the extension .jsp. To run JSP,. Apache Tomcat web server is required

Answer 30.
The operators in JavaScript are:

  1. Arithmetic operators: It contains +, -, *, /, %, + +, – -operators.
  2. Assignment operators: =, + = , -=, *=,/=,%= are assignment operators.
  3. Relational operators (Comparison operators): The relational operators are = = , !=, <, <=, >, >=. The result of a relational operation is either true or false. These operators compare the values on the two side of the operator and give the result accordingly.
  4. Logical operators: &&, ∥ ! are logi-cal operators.
  5. String addition operator (+): Opera-tor + is used to add two strings. Adding two string means concatenating two strings.

Plus Two Computer Application Previous Year Question Papers and Answers