Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

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Kerala Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Plus Two Maths Application of Integrals Four Mark Questions and Answers

Question 1.
Consider the following figure.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 1

  1. Find the point of intersection (P) of the given parabola and the line. (2)
  2. Find the area of the shaded region. (2)

Answer:
1. We have, y = x2 and y = x ⇒ x = x2
⇒ x2 – x = 0 ⇒ x(x – 1) = 0 ⇒ x = 0, 1
When x = 0, y =0 and x = 1, y = 1.
Therefore the points of intersections are (0, 0) and(1, 1).

2. Required area
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 2

Question 2.
1. Find the point of intersection ‘p’ of the given parabola and the line. (2)
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 3
2. Find the area of the shaded region. (2)
Answer:
1. Given, y = x2, y = 2x
⇒ 2x = x2 ⇒ x2 – 2x = 0 ⇒ x(x – 2) = 0 ⇒ x = 0, 2
We have, y = 2x
⇒ when x = 0 ⇒ y = 0, when x = 2 ⇒ y = 4
‘P’ has co-ordinate (2, 4)

2. Area = \(\int_{0}^{2} 2 x d x-\int_{0}^{2} x^{2} d x=\left(x^{2}\right)^{2}-\left(\frac{x^{3}}{3}\right)_{0}^{2}=4-\frac{8}{3}=\frac{12-8}{3}=\frac{4}{3}\).

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 3.
Consider the following figure.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 4

  1. Find the point of Intersection P of the circle x2 + y2 = 32 and the line y = x. (1)
  2. Find the area of the shaded region. (3)

Answer:
1. x2 + x2 = 32 ⇒ 2x2 = 32 ⇒ x2 = 16 = 4
Therefore the point of intersection P is (4, 4).

2. We have x2 + y2 = 32 ⇒ y = \(\sqrt{32-x^{2}}\).
The required area =
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 5
= 8 + [8π – 8 – 4π] = 4π.

Question 4.

  1. Shade the area enclosed by x2 = 4y, y = 2, y = 4 and the y-axis in the first quadrant. (2)
  2. Find the area of the region bound by x2 = 4y, y = 2, y = 4 and the y-axis in the first quadrant. (2)

Answer:
1.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 6

2. Area
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 7

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 5.

  1. Draw a rough sketch of the graph of the function y2 = 4x. (2)
  2. Find the area by the curve and the line x= 2. (2)

Answer:
1.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 8

2. Area
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 9

Plus Two Maths Application of Integrals Six Mark Questions and Answers

Question 1.

  1. Draw the graph of y2 = 4x and y = x. (2)
  2. Find the points of intersection of y2 = 4x and y = x. (2)
  3. Find the area bounded by the graphs.(2)

Answer:
1. y2 = 4x is a parabola and y = x is a straight line passing through the origin.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 10

2. x2 = 4x ⇒ x2 – 4x = 0 ⇒ x(x – 4) = 0 ⇒ x = 0, 4
When x = 0, y = 0 and when x = 4, y =4. Therefore the points of intersection are (0, 0) and (4, 4).

3. Area bounded by the graphs = Area under the parabola in the first quadrant – Area under the line.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 11

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 2.

  1. Draw the graph of the function y = x2 and x = y2 in a coordinate axes. (2)
  2. Find the point of intersection of the above graphs. (2)
  3. Find the area of the region bounded by the above two curves. (2)

Answer:
1. The two function are parabolas as shown in the figure.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 12

2. We have, y = x2 and x = y2
x = (x2)2 ⇒ x – x4 = 0 ⇒ x(1 – x3) = 0 ⇒ x = 0, 1
When x= 1, y= 1 and x = 0, y = 0.
Therefore the point is (0, 0) and (1, 1).

3. The required area = \(\int_{0}^{1} \sqrt{x} d x-\int_{0}^{1} x^{2} d x\)
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 13

Question 3.
Using the figure answer the following questions
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 14

  1. Find the area of the shaded region as the sum of the area of two triangles. (2)
  2. Define the function of the given graph. (2)
  3. Verify the area of the shaded region using integration. (2)

Answer:
1. Area = Area of ∆OAD + Area of ∆ ABC
\(\frac{1}{2}\) × 3 × 3 + \(\frac{1}{2}\) × 2 × 2 = \(\frac{9}{2}\) + 2 = \(\frac{13}{2}\).

2. Area = \(\int_{0}^{5}\)f(x) dx = \(\int_{0}^{3}\)(-x + 3) dx + \(\int_{3}^{5}\)(x – 5) dx
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 15
Therefore verified.

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 4.
The figure given below contains a straight line L with slope \(\sqrt{8}\) and a circle.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 16

  1. Find the equation of the line L and circle. (1)
  2. Find the point of intersection P. (2)
  3. Find the area of the shaded region. (3)

Answer:
1. The line L passes through origin and have slope 3, therefore its equation is y = \(\sqrt{8}\) x. The circle passes through origin and have radius 3, therefore its equation is x2 + y2 = 9.

2. We have, y =3x and x2 + y2 = 9
⇒ x2 + (\(\sqrt{8}\)x)2 = 9 ⇒ 9x2 = 9
⇒ x = 1
∴ y = \(\sqrt{8}\) × 1 = \(\sqrt{8}\).
Therefore, coordinate of ‘P’ is (1, \(\sqrt{8}\)).

3. Area of the shaded region
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 17

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 5.
Using the given figure answer the following
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 18

  1. Define the equation of the circle and ellipse in the figure. (1)
  2. Find the area of the ellipse using integration. (4)
  3. Find the area of the shaded region. (Use formula to find the area of the circle.) (1)

Answer:
1. From the figure equation of the circle is x2 + y2 = 4 and that of the ellipse is \(\frac{x^{2}}{4}+\frac{y^{2}}{1}=1\).

2. We have, \(\frac{x^{2}}{4}+\frac{y^{2}}{1}=1\)
⇒ y2 = 1 ⇒ y = \(\frac{1}{2} \sqrt{4-x^{2}}\)
Area of the ellipse = 4 \(\int_{0}^{2}\)y dx
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 19

3. Area of the circle of radius 2 = π (2)2 = 4π
∴ Area of the shaded region = Area of the circle – Area of the ellipse
= 4π – 2π = 2π.

Question 6.

  1. Find the area bounded by the curve y = sin x with X – axis, between x = 0 and x = 2π. (2)
  2. Find the area of the region bounded by the curve y = x2 and y = |x| (4)

Answer:
1. Area of y = sin x in each loop is same. Therefore;
2\(\int_{0}^{\pi}\)sin xdx = \(-2(\cos x)_{0}^{\pi}\) = -2 (cos π – cos0)
= -2(-1 – 1) = 4

2.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 20
Area
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 21

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 7.
Using integration, find the area of the region bounded by the triangle whose vertices are(-1, 1), (0, 5) and (3, 2). (6)
Answer:
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 22
Equation of BC is \(\frac{y-5}{1-5}=\frac{x-0}{-1-0}\)
⇒ y – 5 = 4x ⇒ 4x – y + 5 = 0 ⇒ y = 4x + 5
Equation of AB is x + y – 5 = 0 ⇒ y = 5 – x
Equation of AC is x – 4y + 5 = 0 ⇒ y = \(\frac{x}{4}+\frac{5}{2}\)
The required area = Area of the region PABCQP – Area of the region PACQP
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 23

Question 8.
Consider the functions f(x) = sin x and g(x) = cosx in the interval [0, 2π]

  1. Find the x coordinates of the meeting points of the functions. (1)
  2. Draw the rough sketch of the above functions. (2)
  3. Find the area enclosed by these curves in the given interval. (3)

Answer:
1. f(x) = sin x and g(x) = cos x meet at multiples of \(\frac{\pi}{4}\)
x = \(\frac{\pi}{4}\), \(\frac{5 \pi}{4}\).

2.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 24

3. Area = 2{Area under f(x) = sinx from \(\frac{\pi}{4}\) to π – Area under g(x) = cosx from \(\frac{\pi}{4}\) to \(\frac{\pi}{2}\)}
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 25

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 9.

Evaluate \(\int_{0}^{r} \sqrt{r^{2}-x^{2}} d x\), where r is a fixed positive number. Hence prove the area of the circle of radius r is π r2. (2)
Find the area of the circle, x2 + y2 = 16 which is exterior to parabola y2 = 6x. (4)

Answer:
1.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 26
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 27

2. Given, x2 + y2 = 16 and y2 = 6x ⇒ x2 + 6x = 16 ⇒ x2 + 6x – 16 = 0 ⇒ (x + 8)(x – 2) = 0 ⇒ x = -8, 2.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 28
Area = Area of the circle – Interior area of the parabola.
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 29

Plus Two Maths Chapter Wise Questions and Answers Chapter 8 Application of Integrals

Question 10.
Using the figure answer the following questions
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 30

  1. Define the equation of the ellipse and circle in the given figure. (1)
  2. Find the area of the ellipse using integration. (4)
  3. Find the area of the shaded region. (Area of the circle can be found using direct formula). (1)

Answer:
1. Equation of the ellipse is \(\frac{x^{2}}{4}+\frac{y^{2}}{1}=1\) and circle is x2 + y2 = 1.

2. We have, \(\frac{x^{2}}{4}+\frac{y^{2}}{1}=1\)
⇒ y2 = 1 ⇒ y = \(\frac{1}{2} \sqrt{4-x^{2}}\)
Area of the ellipse = 4 \(\int_{0}^{2}\)y dx
Plus Two Maths Application of Integrals 4 Mark Questions and Answers 31

3. Area of the circle = πr2 = π × 1 = π
Required area = Area of ellipse – area of the circle = 2π – π = π.

Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ

Bateu In Hindi

You can Download बटेऊ Questions and Answers, Summary, Activity, Notes, Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 help you to revise complete Syllabus and score more marks in your examinations.

Kerala State Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ (लोककथा)

बटेऊ Textbook Activities

Kerala Syllabus 8th Standard Hindi Solutions प्रश्ना 1.
जाट की चरित्रगत विशेषताएँ चुनकर लिखें।
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 1
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 2
उत्तर:
1. मेहमानदार
2. आस्तिक
3. परोपकारी

HSSLive.Guru

8th Standard प्रश्ना 2.
अगले दो महीनों के कैलेंडर तैयार करें।
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 3
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 4
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 5
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 6

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Bateu in Hindi प्रश्ना 3.
साल के महीनों से परिचय पाएँ :
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 7
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 8
उत्तर:
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 9

8th Standard Hindi State Syllabus प्रश्ना 4.
लिखें, प्रत्येक महीने में कितने दिन हैं?
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 10
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 11
उत्तर:
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 12

बटेऊ Summary in Malayalam and Translation

Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 13
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 14
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 15
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 16
Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 17

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बटेऊ शब्दार्थ Word meanings

Kerala Syllabus 8th Standard Hindi Solutions Unit 3 Chapter 4 बटेऊ 18

Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Students can Download Chapter 5 Human Capital Formation in India Questions and Answers, Plus One Economics Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations

Kerala Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Plus One Economics Human Capital Formation in India One Mark Questions and Answers

Question 1.
As per 2011 census, the literacy rate in India was.
(i) 74%
ii) 78%
(iii) 80%
(iv) 82%
Answer:
(i) 74%

Question 2.
Which among the following is related to health sector?
(i) UGC
(ii) NCERT
(iii) ICMR
(iv) AICTE
Answer:
(iii) ICMR

Question 3.
The state in which the literacy rate is the highest in the country is ……………..
(i) Delhi
(ii) Bihar
(iii) Mizoram
(iv) Kerala
Answer:
(iv) Kerala

Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Question 4.
The Adult literacy rate among females in India in the year2000 was ………………..
(i) 68.4%
(ii) 61.9%
(iii) 45.4%
(iv) 37.9%
Answer:
(iii) 45.4%

Question 5.
State true or false:
‘New Educational Policy was announced in 1987-88’.
Answer:
True.

Question 6.
Which state is having highest literacy rate in India according to 2011 census?
(i) Kerala
(ii) Punjab
(iii) Manipur
(iv) Hariyana
Answer:
(i) Kerala

Plus One Economics Human Capital Formation in India Two Mark Questions and Answers

Question 1.
Mention two government organizations that regulate the health and education sector.
Answer:
1. Organizations that regulate the education sector:

  • The ministries of education at the union and state level
  • National Council of Educational Research and Training (NCERT)
  • University Grants Commission (UGC)
  • All India Council of Technical Education (AICTE)

2. Organizations that regulate the health sector:

  • The ministries of health at the union and state level
  • Indian Council for Medical Research (ICMR)

Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Question 2.
Classify the following into preventive medicines, curative medicines, and social medicines.

  1. Provision of clean drinking water.
  2. Good sanitation
  3. Medical intervention during illness
  4. Vaccination

Answer:

  • Preventive Medicine – Vaccination
  • Curative Medicine – Medical intervention during illness.
  • Social Medicine – Provision of clean drinking water, good sanitation

Question 3.
Classify the following into the features of human capital and human development

  1. Education and health are considered as a means to increase human productivity.
  2. Education and health are integral to human well-being.
  3. Human beings are treated as a means to an end.
  4. Human beings are treated as ends in themselves.

Answer:
a. Human Capital:
1. Education and health are considered as a means to increase human productively.
3. Human beings are treated as a means to an end.
b. Human development:
2. Education and health are integral to human well being.
4. Human beings are treated as ends in themselves.

Question 4.
Name the two major sources of human capital in a country.
Answer:
Two major sources of human capital in a country are:

  1. Investment in education and
  2. Investment in health.

Question 5.
Bring out the need for on-the-job training for a person.
Answer:
Firms give on-the-job-training to enhance the productive skills of the workers so as to enable them to absorb new technologies and modern ideas. It can be given in two ways:

  1. Workers may be trained in the firm itself under the assistance of an experienced worker.
  2. Workers may be sent off the firm campus for the training.

Plus One Economics Human Capital Formation in India Three Mark Questions and Answers

Question 1.
Give full form of the following

  1. GER
  2. SSA

Answer:

  1. GER – Gross Enrolment Ratio
  2. SSA – Sarva Shiksha Abhiyan

Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Question 2.
Find the odd one out

  1. Roads, factory, teachers, power plants
  2. Teachers, doctors, ports, scientists
  3. UGC, NCERT, SCERT, NREGP

Answer:

  1. Teachers. Others are physical capital
  2. Ports. Others are human capital
  3. NREGP. Others are educational regulatory institutions

Question 3.
“Adequate education and training to farmers can raise productivity in farms.”
Do you agree or not? Substantiate your answer.
Answer:
Yes, I do agree to the statement that adequate education and training to farmers can raise productivity in farms.
This is because the attainment of more information and training will help the farmers to attain more knowledge about new methods of farming and plant protection. The application of the new knowledge in the farms will enable them to raise productivity in the farms so that the overall productivity in the agricultural sector can be improved.

Question 4.
What do you mean by Human Development Index? How it is calculated?
Answer:
The quality of life index prepared and published by United Nations Development Programme is termed as Human Development Index. HDI studies the following three basic human capabilities:

  1. Living a Long Life (Longevity)
  2. Being Knowledgable (Educational Attainment)
  3. Enjoying decent standard of living (Real Per Capita GDP)

In orderto calculate HDI we are required to construct the following three indices.
1. Life expectancy index: This index measures the degree of the achievement of the country regarding the expectancy of the people in a country. The value of index varies between 0-1.

2. Educational attainment index: This index measures the level of educational attainment of the people. The value of this index also varies between 0-1. Higher index shows higher level of educational attainment.

3. Real GDP per capita index: Real GDP is calculated at constant price. It shows the changes in physical production in real terms. Per capita, real GDP is GDP apanstant price divided by population. It is better measure of the quality of life of the people as compared to per capita income.
Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India img1

Plus One Economics Human Capital Formation in India Four Mark Questions and Answers

Question 1.
Point out the major problems of educational development in India.
Answer:
The major problems of educational development in India are pointed out below.

  • Wastage of resources.
  • Illiteracy
  • Disparities in standard
  • Lack of funds
  • Problems of brain drain.

Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Question 2.
Discuss the following as a resource of human capital formation

  1. Health infrastructure
  2. Expenditure on migration

Answer:
1. Health infrastructure:
Expenditure on health is an important source of human capital formation. Health expenditure directly increases the supply of healthy labour force and is a source of human capital formation.

Preventive medicine, social medicine, curative medicine, and provision of clean drinking water and good sanitation are the various forms of health expenditure. In short provision of health facilities directly improve the efficiency of human capital.

2. Expenditure on migration:
Existence of unemployment is the main reason for the rural-urban migration in India. People migrate in search of jobs. Technically qualified persons migrate to other countries because of higher salaries that they may get in other countries.

Migration in any of these cases involves cost of transport, higher cost of living in the migrated places. The enhanced earnings in the new place outweigh the cost of migration. Hence expenditure on migration is a source of human capital formation.

Question 3.
Bring out the differences between human capital and human development.
Answer:

Human capital Human development
1. Considers education and health to increase productivity. 1. It is based on the idea that education and health are integral to human well being.
2. Treats human beings as a means to achieve higher productivity or the end. 2. It is a broader concept which considers human beings as ends in themselves.

Question 4.
The following table shows the indicators of development in Education and health sectors. Analyze the table and make inference.
Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India img2
Answer:
1. The per capita income of the country was Rs.3687 in the year 1951. This value gradually increased over the years and in 2001, the real per capita income became Rs. 10306. this increase is a good sign of development as far a developing country like India is concerned.

2. Crude Death rate (Per 1000 population) of the country Was 25.1 in1951 which has fallen to 8.1 in 2001. Similarly, the infant mortality rate in India also declined significantly from 146 in 1951 to 63 in 2001. This shows the developments undergone in the health sector of the country.

3. Another important achievement in the field of education is rising literacy rate. It was 16.67% in 1951 whereas, the rate increased to 65.2% in 2001. The above table shows India’s achievements in the field of education, health and per capita income since independence. In all these three fields, country made very significant development during the last 50 years.

Plus One Economics Human Capital Formation in India Five Mark Questions and Answers

Question 1.
Trace the relationship between human capital and economic growth.
Answer:
Economic growth means the increase in real national income of a country. The contribution of the educated person to economic growth is more than that of an illiterate person. Education and health are important factors of economic growth.

Human capital contributes not only towards increasing labour productivity but also stimulates innovations and creates the ability to absorb new technologies. Education provides knowledge to understand changes in society and scientific advancements. Higher-income causes building of high level of human capital and also the high level of human capital causes growth of income.

Plus One Economics Chapter Wise Questions and Answers Chapter 5 Human Capital Formation in India

Question 2.
“The percentage of ‘education expenditure of total government expenditure’ indicates the importance of education in the scheme of things before the government”. Critically analyze the changes in government spending on education.
Answer:
The government is supposed to make expenditure on education so as to improve the efficiency of human capital in the country. The percentage of ‘education expenditure of GDP’ expresses how much of our income is being committed to the development of education in the country.

During 1952-2002, education expenditure as percentage of total government expenditure increased from 7.92 to 13.17 and as percentage of GDP increased from0.64 to 4.02. Throughout this period the increase in education expenditure has not been uniform and there has been irregular rise and fall.

In addition to lowering expenditure on education, there exists a regional disparity in case of spending on education in various parts of the country. For example, the per capita education expenditure differs considerably across states from as high as Rs 3,440 in Lakshadweep to as low as Rs 386 in Bihar. This leads to differences in educational opportunities and attainments across states.

Thus it can be concluded that the government is not giving proper attention on the education sector. The relevance of education in the development of the country is to be recognized and therefore, given top priority to the expenditure in this sector.

Question 3.
“Physical capital is well distinguished from human capital”. Narrate them distinguishing points of physical capital and human capital.
Answer:
Physical capital is well distinguished from human capital. The major points of differences are given below.

1. Physical capital is tangible and can be easily sold in the market like any other commodity. Human capital is intangible; it is endogenously built in the body and mind of its owner.

2. Human capital is not sold in the market; only the services of human capital are sold and hence the necessity of the owner of the human capital to be present in the place of production. The physical capital is separable from its owner, whereas, human capital is inseparable from its owner.

3. The two forms of capital differ in terms of mobility across space. Physical capital is completely mobile between countries except for some artificial trade restrictions. Human capital is not perfectly mobile between countries as movement is restricted by nationality and culture.

4. In the case of human capital, depreciation takes place with ageing but can be reduced, to a large extent, through continuous investment in education, health, etc. This investment also facilitates the human capital to cope with change in technology which is not the case with physical capital.

5. Nature of benefits flowing from human capital are different from that of physical capital. Human capital benefits not only the owner but also society in general. This is called external benefit. An educated person can effectively take part in a democratic process and contribute to the socio-economic progress of a nation. A healthy person, by maintaining personal hygiene and sanitation, stops the spread of contagious diseases and epidemics.

6. Human capital creates both private and social benefits, whereas physical capital creates only private benefit. That is, benefits from a capital good flow to those who pay the price for the product and services produced by it.

Question 4.
Make some argument in favour of the need for different forms of government intervention in education and health sectors.
Answer:
Both education and health have been considered as important for human capital formation. The provision of basic education and health facilities has been accepted as a goal in All societies.

It is important that these facilities be made available free for the poor classes who can not afford them in order to ensure better skills and health of manpower. However, the private sector will not be forthcoming in making large investments in nonprofitable or free distribution of such services. Hence, the government has to play an important role.

Kerala Syllabus 8th Standard Basic Science Solutions Chapter 19 Sound

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Kerala State Syllabus 8th Standard Basic Science Solutions Chapter 19 Sound

Sound is a form of energy which is familiar to us and necessary for communication. Three components are essential to experience the sound. Source of sound, medium, and the ear.

Source of sound

The sources that produce sound is called sources of sound. We can classify the sources of sound into two. Natural sources of sound and manmade sources of sound. Sound is produced by the vibration of object. The object that produces sound is called the source of sound.

Natural frequency

When a body is set into vibration it vibrates with particular frequency of its own. This frequency is called its natural frequency. The unit of frequency is hertz (Hz). The constituents those affect the natural frequency of an object are the nature of the object, length of the object, surface area, tension of the object, etc.
Frequency (f) = Number of vibration(n)/ time(f)

Pitch and loudness

The sharpness of the sound heard is called the pitch. It depends on its frequency of sound. Cuckoo’s cry, female voice etc have high pitch and male voice, duck’s sound, lion’s roar, etc have low pitch. Loudness is the measure of audibility of a person. This depends mainly on frequency of sound and the sensory ability of the ear. Its unit is decibel (dB).

HSSLive.Guru

Propagation of sound

A medium is necessary for sound to propagate. Sound is propagated not only through air but also through other substances. Loss of hearing is a disability of the ear. The people having damage to ear by birth effect many difficulties for commu¬nication, for ability to speak, vulnerability to danger, etc.

Limit of audibility

We cannot here sound of all frequencies. We can hear the sound of frequency in between 20 Hz and 20000Hz. Sounds with frequency less than 20 Hz are called infrasonic and that greater than 20000Hz are called ultrasonic. Ultrasonic sounds are used in the instrument sonar and in medical field.

Noise pollution

Kerala is one of the places which is highest noise pollution in the world. Noise effects not only ear but mental, emotional level, and physical problems. Reduce the use of air horns, use silencers in vehicles, planting trees, etc are some ways to reduce noise pollution.

Sound Textbook Questions & Answers

HSSSound Question 1.
If a tuning fork vibrates 480 times in one second, what would be its natural frequency?
Answer:
Natural frequency = 480Hz

Question 2.
If a simple pendulum oscillates 10 times in 10 seconds, what would be its frequency?
Answer:
n = 10
t = -10 s
\(\mathrm{f}=\frac{n}{t}=\frac{10}{10 s}=1 \mathrm{Hz}\)

Lion Roar Sound Effects Question 3.
What are the factors influencing the natural frequency of a body?
Answer:
i. Nature of the object
ii. Length
iii. Tention
iv. Surface area
v. Area of cross-section

Question 4.
The frequencies of certain tuning forks are given below. Find out which among these have the highest and the smallest pitches.
(256 Hz, 512 Hz, 480 Hz, 288 Hz)
Answer:
High pitch = 512 Hz
Low pitch = 256 Hz

HSSlive in Chapter 19 Question 5.
In the sources of sound given below, vibration in which main part produces sound?
a. Chenda
b. Flute
c. Vocal cord
Answer:
a. Chenda – Diaphragm
b. Flute-Air
c. Vocal box – vocal cord

Question 6.
Design an activity to prove that sound can he propagated even through solid substances.
Answer:
Answer:
Press the ear on one end of a iron rod and beat on the other end with another iron rod or, toy telephone

Sound Pollution Solutions Question 7.
Say whether the following statements given below are true or false.
If false, rewrite it by making necessary changes.
a. Sound cannot travel through vacuum.
b. When frequency of sound increases, pitch decreases.
Answer:
a. correct
b. false, when frequency decreases pitch decreases

Question 8.
‘Bats can catch prey even in the dark’. Do you agree with this statement? Explain your inference.
Answer:
Agree. Bats can produce and hear ultrasonic waves. The sound they produced reflects by hitting on objects. The bats can analyze the returning sounds.

Sound 8th Class Question 9.
How do human beings contribute to noise pollution?
Answer:

  • Air horn
  • Loudspeaker
  • The sounds of vehicles etc

HSSLive.Guru

HSSLive Time Table Question 10.
Which unit represents loudness? (Hz, m/s, dB, W)
Answer:
dB

Sound Additional Questions & Answers

How to use Airhorn Solutions Question 1.
Complete the table

Source of sound The main part which produces sound by vibration The part which vibrates with the main part
Voicebox ….. a …….. Throat, lips
Flute Air column …. b …..
Chenda Leather, diaphragm …… c …….
Violine ……… d ………. Frame, air

Answer:

Source of sound The main part which produces sound by vibration The part which vibrates with the main part
Voicebox Vocal cord Throat, lips
flute Air column Throat, air
chenda Leather, diaphragm wooden frame, cord
Violine Metal Wire Frame air

8th Class Science Question 2.
Fill suitably
Frequency – hertz; Loudness- ………….
Answer:
decibel (dB)

Question 3.
Table the following as those having high pitch and low pitch separately.
Cuckoo’s cry, lion’s roar, female voice, duck’s sound, male voice, air horn
Answer:

high pitch low pitch
Cuckoo’s cry Lion’s roar
Female voice Duck’s sound
Air horn Male voice

Wire & Components Question 4.
Table the natural source and manmade source from the following. Lips, chenda, flute, tabla, violin, vocal cord, sound of birds
Answer:

Natural Man-made
Lips Chenda
Vocal cord Flute
Sound of bird Tabala
Violin

Vibration Solutions Question 5.
What is the relation between the length of the pendulum and frequency?
Answer:
When the length of the pendulum increases, the frequency decreases.

Question 6.
Will the intensity of sound increase when the instrument like chenda and maddalam are beaten strongly? Justify your answer.
Answer:
Yes. When beaten strongly the diagram vibrates with greater amplitude and increases frequency and loudness

Question 7.
What are the demerits of sound pollution?
Answer:

  • Causes mental stress.
  • Causes emotional strain
  • Causes deafness
  • Increase the blood pressure

Question 8.
Write the ways to reduce sound pollution.
Answer:

  • Ban the air horn
  • Control loudspeakers
  • Use silencers in vehicles
  • Control the sound having more than 50 dB near the hospitals

Question 9.
Write two uses of ultrasonic sound.
Answer:
Use in SONAR
To find out the disease and treatment in medical field

Question 10.
Can we hear the sound from Galton whistle having a frequency of 30000Hz? Why?
Answer:
No. We cannot hear the sound having a frequency greater than 20000Hz

Question 11.
What are the problem faced by deaf people?
Answer:
The people having damage to hereby birth effect many difficulties for com¬munication, for ability to speak, vulnerability to danger, etc.

Question 12.
Complete the table.

No of vibrations time Frequency
10 ….. a …. 2
15 3 …… b …..
……. c ….. 5 4

Answer:
a. 5
b. 5
c. 20

Question 13.
An object vibrates 200 times in one second. What is its frequency?
Answer:
frequency = \(\frac{n}{t}=\frac{200}{1}=200 \mathrm{Hz}\)

HSSLive.Guru

Question 14.
How many times vibrate a body of frequency 290 Hz in 12 seconds.
Answer:
n = f × t
f = 290 Hz,
t = 12 s
n = 290 × 12 = 3480 times

Question 15.
Name the sounds of frequency below 20 Hz and above 20000 Hz.
Answer:
below 20 Hz = Infrasonic
Above 20000 Hz = ultrasonic

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Students can Download Chapter 8 Infrastructure Questions and Answers, Plus One Economics Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations

Kerala Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Plus One Economics Infrastructure One Mark Questions and Answers

Question 1.
Which among the following is an economic infrastructure?
(i) Eduction
(ii) Transport
(iii) Healthcare
(iv) Housing
Answer:
(ii) Transport

Question 2.
Who was the largest consumer of commercial energy in 1953-54 in India?
(i) Household sector
(ii) Industry sector
(iii) Agriculture sector
(iv) Transport
Answer:
(iv) Transport

Question 3.
What is the Contribution of nuclear energy of total energy consumption in India?
(i) 2%
(ii) 13%
(iii) 20%
(iv) 10%
Answer:
(i) 2%

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 4.
Which of the following nations has lowest Health expenditure as a percentage of GDP?
(i) India
(ii) China
(iii) USA
(iv) Sri Lanka
Answer:
(iv) Sri Lanka

Question 5.
Identify social infrastructure from the following.
(i) Education
(ii) Energy
(iii) Transport
(iv) Communication
Answer:
(i) Education

Question 6.
Find out conventional energy.
(i) Biogas
(ii) Wind energy
(iii) Petroleum
(iv) Solar energy
Answer:
(iii) Petroleum

Question 7.
Infant mortality rate in India in 2012 was ______ .
(i) 40
(ii) 47
(iii) 57
(iv) 60
Answer:
(ii) 47

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 8.
Write the full form of NTPC.
Answer:
NTPC stands for National Thermal Power Corporation.

Plus One Economics Infrastructure Two Mark Questions and Answers

Question 1.
Write any two features of Indian system of medicine.
Answer:

  1. They are very effective
  2. They are safe and inexpensive

Question 2
State whether true or false.

  1. education comes under social infrastructure
  2. solar energy is nonconventional energy
  3. Ayurveda is an Indian system of medicine
  4. major part power generation in India comes from hydro projects.

Answer:

  1. true
  2. true
  3. true
  4. False, major part power generation in India comes from thermal projects

Question 3.
Name some National Health Care Programme.
Answer:

  • National Malaria Eradication Programme
  • National Filaria Control Programme
  • National Family Welfare Programme
  • National Diarrhoeal Diseases Control Programme

Plus One Economics Infrastructure Three Mark Questions and Answers

Question 1.
Name three sources of non-conventional energy.
Answer:

  1. Solar energy
  2. Wind energy
  3. Tidal power

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 2.
Classify the following into commercial energy and non-commercial energy:
Coal, petrol, agricultural waste, dry animal dung, twig of trees, natural gas.
Answer:
Plus One Economics Chapter Wise Questions and Answers Chapter 6 Rural Development img5

Question 3.
Classify the following sources of energy into conventional sources and non-conventional sources.
(Coal, Electricity, Wind energy, Solar energy, Petroleum, Tidal energy)
Answer:
1. Conventional source files

  • Coal
  • Petroleum
  • Electricity

2. Non-conventional sources

  • Solar energy
  • Tidal energy
  • Wind energy

Question 4.
List various non-commercial sources of energy?
Answer:
Various non-commercial source of energy are :

  • solar energy
  • wind energy
  • tidal energy
  • energy from firewood
  • energy from vegetable waste
  • energy from dried dung

Question 5.
What are the three basic sources of generating power?
Answer:

  1. Hydroelectricity
  2. Thermal electricity
  3. Nuclear electricity

Question 6.
List the six system of Indian medicine.
Answer:
Six system of Indian medicine are :

  1. Ayurveda
  2. Yoga
  3. Siddha
  4. Unani
  5. Homeopathy
  6. Naturopathy

Question 7.
Explain the term ‘infrastructure’.
Answer:
Infrastructure is the support system on which the sufficient working of a modern industrial economy depends. It is the physical framework which is essential for giving services to people such as roads, railways, airports, ports, dam, power stations, telecommunication educational and health facilities, etc. Infrastructure consists of services like banking, communication, transport, irrigation, power, etc. These are very essential for production of goods.

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 8.
Name different types of energy?
Answer:
The different types of energy are:

  • Coal
  • Petroleum
  • Natural gas
  • Bioenergy
  • Solar energy
  • Atomic energy

Question 9.
Categorize the following as elements of economic infrastructure and social infrastructure.
[Canals, Houses, schools and colleges, railways, ships, hospitals, banks, courts, power plants, satellite stations],
Answer:
Plus One Economics Chapter Wise Questions and Answers Chapter 6 Rural Development img7

Question 10.
Justify that energy crisis can be overcome with the use of renewable sources of energy.
Answer:
There are two sources of energy namely, commercial and noncommercial. Noncommercial sources are firewood, agricultural waste, and dried dung. These are noncommercial as they are found in nature. Commercial sources of energy like grass hay, twigs and small branches of a tree, sundried cow dung cakes are generally renewable.

More than 60 percent of Indian households depend on these traditional sources of energy for meeting regular cooking and heating needs. The energy crisis can be overcome with the use of renewable sources of energy.

Plus One Economics Infrastructure Four Mark Questions and Answers

Question 1.
Write the names of four atomic energy plants in India.
Answer:

  1. Atomic energy power plant at Tarapur
  2. Atomic energy power plant at Narora
  3. Atomic energy power plant in Kalapakkam (Chennai)
  4. Atomic energy power plant at Rana Pratap Sagar Dam (Kota)

Question 2.
Write a note on ISM.
Answer:
Indian Systems of Medicine (ISM):
It includes six systems: Ayurveda, Yoga, Unani, Siddha, Naturopathy, and Homeopathy (AYUSH). At present, there are 3,004 ISM hospitals, 23,028 dispensaries and as many as 6,11,431 registered practitioners in India. But little has been done to set up a framework standardize education or to promote research.tSM has huge potential and can solve a large part of our health care problems because they are effective, safe and inexpensive.

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 3.
Kerala is experiencing huge energy crisis. Suggest some measures for solving the problem.
Answer:
More public investment, better research and development efforts, exploration, technological innovation and use of renewable energy sources can ensure solution of energy crisis in Kerala. Though the private sector has made some progress, it is necessary to tap this sector to come forward and produce power on a large scale.

One also has to appreciate the efforts made in this regard. More efforts and encouragement should be given by the government for the widespread use of wind, solar and tidal energy production in the state. Moreover, greater reliance on renewable energy resources offers enormous economic, social and environmental benefits.

Question 4.
Analyze the state of health infrastructure in India citing facts and figures.
Answer:
India has built up a vast health infrastructure and manpower at different levels since independence. At the village level, a variety of hospitals have been set up by the government. India also has a large number of hospitals run by voluntary agencies and the private sector.

These hospitals are manned by professionals and paramedical professionals trained in medical, pharmacy and nursing colleges. Since independence, there has been a significant expansion in the physical provision of health services.

During 1951-2000, the number of hospitals and dispensaries increased from 9,300 to 43,300 and hospital beds from 1, 2 to 7.2 million during 1951 – 99, nursing personnel increased from 0.18 to 8.7 lakh and allopathic doctors from 0.62 to 5.0 lakh. Expansion of health infrastructure has resulted in the eradication of smallpox, guinea worms and the near eradication of polio and leprosy.

Question 5.
Differentiate between commercial and noncommercial sources of energy.
Answer:
Commercial sources of energy:
Commercial sources of energy include coal, petroleum, and electricity. They could be bought and sold. They are generally exhaustible in nature. More than 60 percent of Indian households depend on the traditional source of energy.

Non-commercial sources of energy include firewood, agricultural waste, and dried dung. They are found in nature or forests. Lesser number of persons use these resources.

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 6.
Point out the connection between consumption of energy and economic growth?
Answer:
The central issue has been whether economic growth stimulates consumption of energy or is energy consumption itself a stimulus for economic growth. But whatever may be the causal relationship between energy consumption and economic growth of a nation, they are both closely related.

Since energy is an essential input of all productive activities, agricultural or industrial, the process of economic development inevitable demands increasing levels of energy consumption. The higher the degree of economic growth, the higher is the consumption of energy and vice versa. Thus energy consumption is an important indicator of economic growth.

Electricity is one of the most critical infrastructures that determines economic development of a country. The growth rate of demand for power is generally higher than GDP growth rate. In order to have an 8 % GDP growth rate per annum, the power supply needs to grow around 12% annually. This shows that the rates of consumption of energy and economic growth are connected.

Plus One Economics Infrastructure Five Mark Questions and Answers

Question 1.
‘Infrastructure facilities boost production’ Do you agree? Substantiate your answers.
Answer:
Infrastructure facilities boost production in the following manner.
1. Infrastructure provides support services in the main areas of industrial and agricultural production, domestic and foreign trade and commerce.

2. Infrastructure facilities include roads, railways, ports, airports, dams, power stations, oil and gas pipelines, telecommunication facilities, educational systems, health systems, monetary systems, etc. It is the support system on which depends the efficient working of a modern industrial economy.

3. Modem agriculture largely depends on infrastructure for speedy and large scale transport of seeds, pesticides, fertilizers, and the produce by making use of modem roadways, railways, and shipping facilities.

4. Infrastructure contributes to the economic development of a country both by increasing the productivity of the factors of production and improving the quality of life of its people.

Question 2.
“Infrastrucure contribute to the economic development of a country like india” Do you agree? Justify.
Answer:
Yes, I agree with the statement that infrastructure contribute to the economic development of a country like India. The reason why infrastructure is an essential precondition for economic development are pointed out below.

1. Infrastructure contributes to economic development of a country both by increasing the productivity of the factors of production and improving the quality of life of its people.

2. Inadequate infrastructure can have multiple adverse effects on health. Improvements in water supply and sanitation have a large impact by reducing morbidity from major waterborne diseases and reducing the severity of disease when it occurs.

3. In addition to the obvious linkage between water and sanitation and health, the quality of transport and communication infrastructure can affect access to health care.

4. Infrastructure is in itself a source of employment for the large labour force of developing economies like India.

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Question 3.
Suggest the progammes to increase the effectiveness of health care system.
Answer:
The following are the progammes to increase the effectiveness of health care system

  • Public health facilities should be decentralized
  • People should be educated about the nature, causes, and remedies of general diseases
  • People should be made aware about sanitation facilities, cleanliness, immunization, etc.
  • Efforts should be taken to develop health infrastructure
  • Primary health care facilities should be strengthened
  • Private-public participation in health care system should be encouraged

Question 4.
“India’s power sector faces some challenges today”. Do you agree? If yes mention the challenges.
Answer:
agree with the statement that India’s power sector faces some challenges today.
Some of the challenges that India’s power sector faces today are:

1. India’s installed capacity to generate electricity is not sufficient to feed an annual economic growth of 7 percent. In order to meet the growing demand for electricity, between 2000 and 2012, India needs to add 1,00,000 MW of new capacity, whereas, at present, India is able to add only 20,000 MW a year. Even the installed capacity is underutilized because plants are not run properly

2. State Electricity Boards (SEBs), which distribute electricity, incur losses which exceed Rs 500billion. This is due to transmission and distribution losses, wrong pricing of electricity and other inefficiencies. Some scholars also say that distribution of electricity to farmers is the main reason for the losses; electricity is also stolen in different areas which also adds to the woes of SEBs

3. Private sector power generators are yet to play their role in a major way same is the case with foreign investors

4. There is general public unrest due to high power tariffs and prolonged power cuts in different parts of the country
Thermal power plants which are the mainstay of. India’s power sector are facing a shortage of raw material and coal supplies.

Question 5.
There are some drawbacks in our health care system. Do you agree? Substantiate.
Answer:
Yes, I agree with these statements
The Indian constitution assign, the state, the responsibility of raising the level of nutrition and the standard of living of its people and the improvement of public health. However, the National Health Policy lacks specific measures to achieve broad state goals. The government expenditure on health sector is 5% of total GDP. This is very low compared to other countries.

At present, less than 0% of the population utilises public health facilities However only 38% of the Public Health Centres (PHCs) have the required number of doctors and only 30% of the PHCs have sufficient stock of medicines. The people living in Rural areas do not have sufficient medical infrastructure.

There is shortage of beds, doctors and basic diagnostic facilities in rural areas. This has led to regional inequality in health services. Thus, it can be concluded that there are some draw-backs in our health care system.

Plus One Economics Infrastructure Eight Mark Questions and Answers

Question 1.
Prepare a seminar report on “energy and health infrastructure”.
Answer:
“Energy and health infrastructure”
Introduction:
The plus one commerce batch of (Name of school) conducted a seminar on the topic “Energy and health infrastructure” on 12/09/2018 at 11.0 a.m with the ample guidance of our economics teacher. Our class was divided into three groups to cover the entire area of the topic.

The first group explained the meaning and relevance of infrastructure, the second group explained the energy infrastructure and the third group presented their idea on health infrastructure. They focused on the area given to them and the group leader presented the seminar paper after required preparation.

Plus One Economics Chapter Wise Questions and Answers Chapter 8 Infrastructure

Content:
Infrastructure:
Infrastructure is the support system on which depends the efficient working of a modern industrial economy. Modern agriculture also largely depends on it for speedy and largescale transport of seeds, pesticides, fertilizers, and the products by making use of modern roadways, railways and shipping facilities.

Infrastructure contributes to economic development of a country both by increasing the productivity of the factors of production and improving the quality of life of its people.

1. Energy:
Energy is a critical aspect of the development process of a nation. It is, of course, essential for industries. Now it is used on a large scale in agriculture and related areas like production and transportation of fertilizers, pesticides and farm equipment. It is required in houses for cooking, household lighting, and heating.

There are commercial and non-commercial sources of energy. Commercial sources are coal, petroleum, and electricity as they are bought and sold. They account for over 50 percent of all energy sources consumed in India. Noncommercial sources of energy are firewood, agricultural waste, and dried dung.

These are noncommercial as they are found in nature/forests. Both commercial and noncommercial sources of energy are known as conventional sources of energy. There are three other sources of energy which are commonly termed as nonconventional sources solar energy, wind energy, and tidal power.

The most visible form of energy, which is often identified with progress in modern civilization, is power, commonly called electricity; it is one of the most critical components of infrastructure that determines the economic development of a country. The growth rate of demand for power is generally higher than the GDP growth rate.

Studies point that in order to have8 percent GDP growth per annum, power supply needs to grow around 12per cent annually. Electricity is a secondary form of energy produced from primary energy resources including coal, hydrocarbons, hydro energy, nuclear energy, renewable energy, etc. Primary energy consumption takes into account the direct and indirect consumption of fuels.

2. Health:
Health is not only absence of disease but also the ability to realize one’s potential. It is a yardstick of one’s wellbeing. Health is the holistic process related to the overall growth and development of the nation. Development of health infrastructure ensures a country of healthy manpower for production of goods and services.

In recent times, scholars argue that people are entitled to health care facilities. It is the responsibility of the government to ensure the right to healthy living. Health infrastructure includes hospitals, doctors, nurses and other paramedical professionals, beds, equipment required in hospitals and a well developed pharmaceutical industry.

Conclusion:
All the three groups presented their topics with necessary facts and figures. After the presentation, there was a question-answer session. The active participation of everyone made this session live and interesting. On the whole, the seminar was a big success.

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Students can Download Chapter 9 Differential Equations Questions and Answers, Plus Two Maths Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Plus Two Maths Differential Equations Three Mark Questions and Answers

Question 1.
y = e2x(a + bx), a and b are arbitrary constants.
Answer:
y = e2x(a + bx) ____(1)
Differentiating with respect to x,
\(\frac{d y}{d x}\) = e2xb + (a + bx)2e2x
\(\frac{d y}{d x}\) = 2y + be2x ⇒ \(\frac{d y}{d x}\) – 2y = be2x ____(2)
Differentiating (2) with respect to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 1

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 2.
y = ex(acosx + 6sinx), a and b are arbitrary constants.
Answer:
y = ex(acosx + 6sinx) ___(1)
Differentiating with respect to x,
\(\frac{d y}{d x}\) = ex(-asinx + bcosx) + ex(acosx + bsinx) \(\frac{d y}{d x}\) = ex(-asin x + b cos x) + y
\(\frac{d y}{d x}\) – y = ex(-a sin x + b cos x) ____(2)
Differentiating (2) with respec to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 2

Question 3.
y = c1ex + c2 e-x , c1 and c1 are arbitrary constants.
Answer:
y = c1ex + c2 e-x ___(1)
Differentiating with respect to x,
\(\frac{d y}{d x}\) = c1ex + c2 e-x __(2)
Differentiating (2) with respect to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 3

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 4.
(x – a)2 + 2y2 = a2, a is a arbitrary constants.
Answer:
(x – a)2 + 2y2 = a2 ___(1)
Differentiating with respect to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 4

Question 5.
Find the equation of a curve passing through the point (0, -2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
Answer:
y\(\frac{d y}{d x}\) = x ⇒ ydy = xdx
Integrating on both sides,
∫ydy = ∫xdx + c
⇒ \(\frac{y^{2}}{2}=\frac{x^{2}}{2}\) + c ____(1)
Since it passes through (0, -2),
Plus Two Maths Differential Equations 3 Mark Questions and Answers 5

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 6.
Form the DE representing the family of parabolas having a vertex at origin and axis along positive direction of x-axis.
Answer:
Let (a, 0) be focus of the given family of parabolas.
y2 = 4ax ____(1)
Differentiating with respect to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 6
Plus Two Maths Differential Equations 3 Mark Questions and Answers 7

Question 7.
For the DE xy \(\frac{d y}{d x}\) = (x + 2)(y + 2), find the solution curve passing through the point(1,- 1).
Answer:
xy \(\frac{d y}{d x}\) = (x + 2)(y + 2)
⇒ \(\frac{y}{y+2} d x=\frac{x+2}{x} d x\)
Integrating on both sides,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 8
⇒ y – 2 log|y + 2| = x + 2log|x| + c ____(1)
Since it passes through (1, -1),
⇒ -1 – 2log|-1 + 2| = 1 + 2log|l| + c
⇒ -2 = c
(1) ⇒ y – 2log|y + 2| = x + 2log|x| – 2.

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 8.
Solve the initial value problem: \(\frac{d y}{d x}\) = y tan 2x; y(0) = 2.
Answer:
\(\frac{d y}{d x}\) = y tan 2x
⇒ \(\frac{d y}{y}\) tan 2xdx,
This is a variable type
∴∫\(\frac{d y}{y}\) = ∫tan 2xdx ⇒ log y = \(\frac{1}{2}\) log|sec 2x| + c
Given y(0) = 2 ⇒ log 2 = \(\frac{1}{2}\) log|sec 0| + c ⇒ c = log 2
log y = \(\frac{1}{2}\) log|sec 2x| + log 2 ⇒
Plus Two Maths Differential Equations 3 Mark Questions and Answers 9

Plus Two Maths Differential Equations Four Mark Questions and Answers

Question 1.
(i) Consider the differential equation given below. (1)
\(\frac{d^{4} y}{d x^{4}}-\sin \left(\frac{d^{3} y}{d x^{3}}\right)=0\). Write the order and degree of the DE (if defined)
(ii) Find the Differential equation satisfying the family of curves y2 = a(b2 – x2), a and b are arbitrary constants. (3)
Answer:
(i) 4; degree is not defined

(ii) y2 = a(b2 – x2) ____(1)
Differentiating with respect to x,
2y \(\frac{d y}{d x}\) = -a2x ⇒ y\(\frac{d y}{d x}\) = -ax ____(2)
Differentiating (2) with respect to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 10
Which is the differential equation.

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 2.

  1. Find the Differential equation satisfying the family of curves y = ae3x + be-2x, a and b are arbitrary constants. (3)
  2. Hence write the degree and order of the DE. (1)

Answer:
1. y = ae3x + be-2x ____(1)
Differentiating with respect to x,
\(\frac{d y}{d x}\) = ae3x × 3 + be-2x × -2 ____(2)
Differentiating (2) with respect to x,
⇒ \(\frac{d^{2} y}{d x^{2}}\) = 9ae3x + 4be-2x ____(3)
Now, (3) + 2 × (2) ⇒ \(\frac{d^{2} y}{d x^{2}}+2 \frac{d y}{d x}=15 a e^{3 x}\)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 11
Using (4), (5) in (1), we have,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 12

2. Order: 2; degree: 1.

Question 3.
Consider the equation of all circles which pass through the origin and whose centres are on the x-axis.

  1. Define the general equation of the circle.(1)
  2. Find the DE corresponding to the above equation. (3)

Answer:
1. The general equation of the circle, passing through the origin and whose centers lies on x-axis can be taken as (x – h)2 + y2 = h2 where h being an arbitrary constant.

2. Simplifying (x – h)2 + y2 = h2 we get,
x2 – 2hx + h2 + y2 = h2 ⇒ x2 – 2hx + h2 = 0 _____(1)
Differentiating we get,
2x + 2y \(\frac{d y}{d x}\) – 2h = 0 ⇒ h = x + y \(\frac{d y}{d x}\)
Substituting in (1) we can eliminate h
Plus Two Maths Differential Equations 3 Mark Questions and Answers 13

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 4.
Find a particular solution satisfying the given condition. (x3 + x2 + x +1)\(\frac{d y}{d x}\) = 2x2 + x, y = 1, when x = 0.
Answer:
Plus Two Maths Differential Equations 3 Mark Questions and Answers 14
Integrating on both sides,
∫dy = ∫\(\frac{2 x^{2}+x}{\left(x^{2}+1\right)(x+1)} d x\)
Splitting into partial fractions we have, (see Unit:7)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 15
Plus Two Maths Differential Equations 3 Mark Questions and Answers 16

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 5.

  1. Write the degree of the DE y’ = 2xy. [0, 1, 2, 3] (1)
  2. Express y’ = 2xy in the form Mdx = Ndy. Where M is a function of x and N is the function of y. (2)
  3. Solve y’ = 2xy, y(0) = 1 (1)

Answer:

1. Degree = 1

2. We have, \(\frac{d y}{d x}\) = 2xy ⇒ \(\frac{d y}{y}\) = 2xdx, which is of the form Mdx = Ndy.

3. Solution is ∫\(\frac{d y}{y}\) = 2∫xdx ⇒ log|y| = x2 + c
Given y(0) = 1 ⇒ log|1| = 0 + c ⇒ c = 0
⇒ log|y| = x2 ⇒ y = ex2.

Question 6.
Solve the following DE \(\frac{d y}{d x}=\frac{y^{2}-x^{2}}{2 x y}\).
Answer:
\(\frac{d y}{d x}=\frac{y^{2}-x^{2}}{2 x y}\), this is a Homogeneous DE.
Therefore, put y = vx and \(\frac{d y}{d x}\) = v + x\(\frac{d v}{d x}\) to convert it into variable separable form.
The DE becomes,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 17
Plus Two Maths Differential Equations 3 Mark Questions and Answers 18
Therefore integrating we get,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 19
Plus Two Maths Differential Equations 3 Mark Questions and Answers 20

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 7.
Solve the linear differential equation \(x \frac{d y}{d x}-y=(x-1) e^{x}\).
Answer:
Given, x\(\frac{d y}{d x}\) – y = (x – 1)ex, dividing both sides by x ,we get
Plus Two Maths Differential Equations 3 Mark Questions and Answers 21
Solution is
y × IF = ∫Q(IF)dx + c
Plus Two Maths Differential Equations 3 Mark Questions and Answers 22

Question 8.
(i) Choose the correct answer from the bracket. The solution of the differential equation xdy + ydx = 0 represents (1)
(a) a rectangular hyperbola
(b) a parabola whose centre is origin
(c) a straight line whose centre is origin
(d) a circle whose centre is origin.
(ii) From the DE of the family of circles touching the x-axis at origin. (3)
Answer:
(i) (c) a straight line whose centre is origin.

(ii) Let (0, a) be the centre of the circle. Therefore the equation of the circle is
x2 + (y – a)2 = a2
⇒ x2 + y2 = 2ay
⇒ \(\frac{x^{2}+y^{2}}{y}\) = 2a ____(1)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 23
Differentiating with respect to x,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 24

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 9.
Solve the DE x2\(\frac{d y}{d x}\) = x2 – 2y2 + xy.
Answer:
x2\(\frac{d y}{d x}\) = x2 – 2y2 + xy
Plus Two Maths Differential Equations 3 Mark Questions and Answers 25
this is a Homogeneous DE.
Put y = vx and \(\frac{d y}{d x}=v+x \frac{d v}{d x}\)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 26
Integrating on both sides,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 27

Question 10.
Choose the correct answer from the bracket

  1. The DE \(\frac{d y}{d x}+\frac{y}{x}\) = ex, x > 0 is of order …..[0,1,2,3] (1)
  2. The integrating factor \(\frac{d y}{d x}+\frac{y}{x}\) = ex, is……..[x, ex, -x, e-x] (1)
  3. Solve \(\frac{d y}{d x}+\frac{y}{x}\) = ex (2)

Answer:
1. Order = 1

2. \(\frac{d y}{d x}+\frac{y}{x}\) = ex is of the form \(\frac{d y}{d x}\) + Py = Q,
where P = \(\frac{1}{x}\), Q = ex
IF = e∫Pdx = e∫\(\frac{1}{x}\)dx = elogx = x

3. Solution is y.IF = ∫ex. IFdx
⇒ yx = ∫x.exdx ⇒ yx = x.ex – ∫exdx
⇒ yx = x.ex – ex + c ⇒ yx = ex(x – 1) + c.

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 11.
Solve the DE \(\frac{d y}{d x}=\frac{x+y}{x-y}\).
Answer:
\(\frac{d y}{d x}=\frac{x+y}{x-y}\), this is a Homogeneous DE.
Put y = vx and \(\frac{d y}{d x}\) = v + x\(\frac{d v}{d x}\)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 28
Integrating on both sides,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 29

Plus Two Maths Differential Equations Six Mark Questions and Answers

Question 1.
Consider the DE \(\frac{d y}{d x}=\frac{y^{3}+3 x^{2} y}{x^{3}+3 x y^{2}}\)

  1. Identify the DE ? Give reason. (1)
  2. Explain the method of solving the DE. (1)
  3. Solve the DE. (4)

Answer:
1. Given DE is a Homogeneous DE. Since y3 + 3x2y and x3 + 3xy2 are Homogeneous functions of same degree (deg = 3).

2. By giving a substitution y = v x and \(\frac{d y}{d x}\) = v + x\(\frac{d y}{d x}\)
we can convert the DE into variable separable.

3. Now we have, \(\frac{d y}{d x}=\frac{y^{3}+3 x^{2} y}{x^{3}+3 x y^{2}}\)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 30
∴ Integrating we get,
\(\int \frac{1+3 v^{2}}{2 v\left(1-v^{2}\right)} d v=\int \frac{d x}{x}\)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 31
\(\frac{1}{2}\) log v – log(1 – v2) = log x + log c
Plus Two Maths Differential Equations 3 Mark Questions and Answers 32

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 2.
Consider the D.E \(\frac{d y}{d x}+\frac{y}{x}=x^{2}\)

  1. Find degree and order of DE . (1)
  2. Solve the D.E. (4)
  3. Find the particular solution when x = 1, y = 1. (1)

Answer:
1. Degree: 1, Order: 1.

2. The given D.E is first order linear DE of the form
\(\frac{d y}{d x}\) + Py = Q. Comparing we get, P = \(\frac{1}{x}\), Q = x2
∴ ∫Pdx = ∫\(\frac{1}{x}\)dx = logx
Integrating factor (I.F) = e∫Pdx = elogx = x
y.x = ∫x2.xdx + c = ∫x3 dx + c
⇒ y.x = \(\frac{x^{4}}{4}\) + c ___(1)

3. Given, y = 1 when x = 1, then (1)
⇒ 1 × 1 = \(\frac{1}{4}\) + c ⇒ c = \(\frac{3}{4}\)
Therefore particular solution is
y.x = \(\frac{x^{4}}{4}\) + \(\frac{3}{4}\) ⇒ 4xy = x3 + 3.

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 3.
Consider the equation.\(\frac{d y}{d x}\) + y = sin x

  1. What is the order and degree of this equation? (1)
  2. Find the integrating factor. (2)
  3. Solve this equation. (3)

Answer:
1. Order = 1, Degree = 1

2. Given, \(\frac{d y}{d x}\) + y = sin x is of the form
\(\frac{d y}{d x}\) + Py = Q ⇒ P = 1, Q = sinx
Integrating factor = e∫Pdx = e∫1dx = ex

3. Therefore solution is
y.IF = ∫Q.IFdx + c ⇒ yex = ∫ex sinxdx + c ____(1)
∫sinx.exdx = ex sinx – ∫cosx.exdx
= ex sin x – cosx.ex – ∫sinx.ex dx
⇒ 2∫ex sin xdx = ex(sin x – cos x)
⇒ ∫ex sinxdx = \(\frac{e^{x}}{2}\)(sinx – cosx)
(1) ⇒ yex = \(\frac{e^{x}}{2}\)(sinx – cosx) + c.

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 4.
Considerthe D.E (x2 – 1)\(\frac{d y}{d x}\) + 2(x + 2)y = 2(x + 1)

  1. Find \(\frac{d y}{d x}\), degree and order of the above differential equation. (1)
  2. Find the integrating factor of the above differential equation. (2)
  3. Solve the differential equation. (3)

Answer:
1. Given, (x2 – 1)\(\frac{d y}{d x}\) + 2(x + 2)y = 2(x + 1)
Plus Two Maths Differential Equations 3 Mark Questions and Answers 33
Here, Degree = 1, Order = 1.

2. The given DE is of the form \(\frac{d y}{d x}\) + Py = Q
Where,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 34
Splitting it into partial fractions we get,
Plus Two Maths Differential Equations 3 Mark Questions and Answers 35
Put x = 1, ⇒ 6 = 2B ⇒ B = 3,
put x = -1, ⇒ 2 = -2A ⇒ A = -1
Plus Two Maths Differential Equations 3 Mark Questions and Answers 36

3. Solution is y × IF = ∫Q × IFdx + c
Plus Two Maths Differential Equations 3 Mark Questions and Answers 37

Plus Two Maths Chapter Wise Questions and Answers Chapter 9 Differential Equations

Question 5.
(i) The degree of the differential Equation \(\frac{d^{2} y}{d x^{2}}+\cos \left(\frac{d y}{d x}\right)=0\) is
(a) 2
(b) 1
(c) 0
(d) Not defined
(ii) Solve \(\frac{d y}{d x}\) + 2y tanx = sinx; y = 0, x = \(\frac{\pi}{3}\) (5)
Answer:
(i) (d) Not defined.

(ii) \(\frac{d y}{d x}\) + 2y tanx = sinx
Then, P = 2tanx, Q = sinx
IF = e∫Pdx = e∫2tanxdx = e2log sec x = sec2 x Solution is; y × IF = ∫Q(IF)dx + c
⇒ ysec2 x = ∫sinx sec2 xdx + c
⇒ ysec2 x = ∫tanx secx dx + c
⇒ ysec2x = secx + c
Here; y = 0, x = \(\frac{\pi}{3}\)
⇒ 0 × sec2 \(\frac{\pi}{3}\) = sec\(\frac{\pi}{3}\) + c ⇒ c = -2
⇒ ysec2 x = secx – 2.

Question 6.
(i) The order of the differential equation \(x^{4} \frac{d^{2} y}{d x^{2}}=1+\left(\frac{d y}{d x}\right)^{3}\) is
(a) 1
(b) 3
(c) 4
(d) 2
(ii) Find the particular solution of the (1 + x2) \(\frac{d y}{d x}\) + 2 xy = \(\frac{1}{1+x^{2}}\); y = 0, when x = 1 (5)
Answer:
(i) (d) 2

(ii) (1 + x2) \(\frac{d y}{d x}\) + 2 xy = \(\frac{1}{1+x^{2}}\); y = 0, when x = 1
Plus Two Maths Differential Equations 3 Mark Questions and Answers 38
⇒ 0(1 + 12) = tan-11 + c ⇒ c = \(-\frac{\pi}{4}\)
⇒ y(1 + x2) = an-1x – \(\frac{\pi}{4}\).

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Students can Download Chapter 7 Employment-Growth, Informalisation and Related Issues Questions and Answers, Plus One Economics Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations

Kerala Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Plus One Economics Employment-Growth, Informalisation and Related Issues One Mark Questions and Answers

Question 1.
Some instances of people engaging in economic activity in given below. Identify worker from there.
Answer:
(a) A man who temporarily abstains from work due to illness.
(b) A woman is paid by her employer.
(c) A self-employed farmer.
(d) All the above
Answer:
(d) All the above

Question 2.
Which among the activity?
(a) Trade
(b) Transportation
(c) Construction
(d) Mining
Answer:
(d) Mining

Question 3.
Which organisation is responsible for estimating unemployment in India?
(a) ILO
(b) NSSO
(c) NitiAayog
(d) None of these
Answer:
(b) NSSO

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 4.
Identify the activity not included in secondary sector.
(a) Quarrying
(b) Manufacturing
(c) Construction
(d) Water supply
Answer:
(a) Quarrying

Question 5.
Choose the correct answer Workforce refers to that part of:
(a) labour force which is employed
(b) population which is employed
(c) population which is forced to work
(d) labour force which is employed
Answer:
(a) labour force which is employed

Question 6.
Name the sector in the main source of employment for the majority of workers in India.
(a) Primary Sector
(b) Secondary Sector
(c) Service Sector
(d) Tertiary sector
Answer:
(a) Primary Sector

Question 7.
Who developed the concept of unemployment in India?
Answer:
National Sample Survey Organisation (NSSO) has developed the concepts of unemployment suitable to Indian conditions.

Question 8.
The newly emerging jobs are found mostly in the …………. sector (Service/agriculture/manufacturing).
Answer:
Service.

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 9.
Name the main sector providing maximum employment in India?
(a) Agriculture
(b) Industry
(c) Service
(d) None of these
Answer:
(a) Agriculture sector/primary sector.

Plus One Economics Employment-Growth, Informalisation and Related Issues Two Mark Questions and Answers

Question 1.
Meena is a housewife. Besides taking care of household duties, she works in a cloth shop which is owned and operated by her husband. Can she be considered as a worker? Why?
Answer:
Meena’s activities in the cloth shop owned by her husband are not considered as the activity of a worker since she is not paid for her service. If she works in the shop owned by some other person and is paid for her services then she will be considered as a worker.

Question 2.
List any five activities that contribute to national income in India.
Answer:
The activities that contribute to national income in India are:

  • farming
  • trading
  • mining
  • treatment of a doctor in hospital
  • manufacturing
  • forestry

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 3.
Distinguish between usual status and weekly status?
Answer:
Usual status refers to a situation where a person usually spends majority of his time in work. In India, 183 days of work is a standard cutoff per usual status. On the other hand, if the person is found to be a part of the workforce during the stipulated week, he will be considered as employed by weekly status.

Question 4.
Given below some economic activities. Classify them as primary, secondary and tertiary sector activities. Agriculture, Mining and Quarrying, Manufacturing, Electricity Gas and Water Supply Construction, Trade, Transport and Storage, Services.
Answer:
1. Primary sector

  • Agriculture
  • Mining and Quarrying

2. Secondary sector

  • Manufacturing
  • Electricity, Gas and Water Supply
  • Construction

3. Tertiary sector

  • Trade
  • Transport and Storage
  • Services

Question 5.
What is a worker-population ratio?
Answer:
Worker population ratio is the percentage of total population engaged in work. When the total number of workers is divided by population and multiplied by 100, we get the worker – population ratio.
Worker population ratio = \(\frac{\text { Total number of workers }}{\text { Population }} \times 100\)

Question 6.
Write a short note on RLEGP.
Answer:
RLEGP stands for Rural Landless Employment Guarantee Programme. It was introduced in August 1983. This programme guarantees employment to at least one members of every landless family up to 100daysin a year.

Plus One Economics Employment-Growth, Informalisation and Related Issues Three Mark Questions and Answers

Question 1.
Match the following

A B
Primary sector school teacher
Secondary sector Farmer
Tertiary sector Welder in a factory

Answer:

A B
Primary sector Farmer
Secondary sector Welder in a factory
Tertiary sector Schoolteacher

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 2.
Raj is going to school. When he is not in school, you will find him working in his farm. Can you consider him as a worker? Why?
Answer:
Raj, when he is busy in his farm contributes to production but he is not paid for his work. He helps his parents in agricultural jobs. As he is not paid, he is not a paid worker.

Question 3.
Kerala economy is experiencing huge unemployment problems. Similarly, the number of workers from outside Kerala are visiting our states and engaging in different activities. What do you infer from this? Justify your answer.
Answer:
In Kerala there exists problem of unemployment, especially educated unemployment. The educated people are usually unwilling to engage in manual works and therefore prefer white color jobs. They often go outside the state and even abroad to find a suitable job in accordance with their education level. At the same time, the usual works in the state are done by people coming from outside the state.

Plus One Economics Employment-Growth, Informalisation and Related Issues Four Mark Questions and Answers

Question 1.
Name some of the recent employment generation programmes launched by the Govt, of India.
Answer:
Following are some of the recent employment generation programmes launched by the Govt, of India.

  • Rural Landless employment Guarantee programme (RLEGP)
  • National Rural Employment Guarantee programme (NREGP)
  • Bharat Nirman Programme
  • Janani Suraksh%JTojana

Question 2.
Distinguish between open unemployment and technical unemployment?
Answer:
When the country’s labour force does not get opportunities for gainful employment, it is termed as open unemployment. On the other hand technical unemployment refers to persons who have been thrown out of work by the introduction of superior technology.

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 3.
Classify the following into organized sector and unorganized sector.
Street vender, school teacher, business executive, agricultural labourer, mechanic, railway ticket examiner, college professor, software engineer, head load worker, cart puller, washerman.
Answer:
1. Organized sector:

  • Schoolteacher
  • Business executive
  • Mechanic
  • Railway ticket examiner
  • College professor
  • Software engineer

2. Unorganized sector:

  • Street vender
  • Agricultural labourer
  • Head load worker
  • Cart puller
  • Washerman

Question 4.
Analyze the recent trends in sectoral distribution of workforce in India.
Answer:
Primary sector is the main source of employment for majority of workers in India. Secondary sector provides employment to only 16% of workforce. About 24% of workers are in service sector. More than three – fourth of the workforce in the rural India depends on agriculture and mining. About 10% of the rural workers are working in manufacturing industries, construction and other sectors.

Service sector provides employment to only about 13% of rural workers. About 60% of urban workers are in the service sector. The secondary gives employment to about 30% of the urban workforce. Women workers concentration is very high in primary sector. Men get opportunities in both secondary and services sectors.

Question 5.
Prepare a note on NREGP.
Answer:
The government of India passed an Act in Parliament known as the National Rural Employment Guarantee Act 2005. As a result of this act, the employment generation programme known as National Rural Employment Guarantee Programme (NREGP) came into existence. By 2008, it has been extended to all the districts of the country.

lt promises 10Odays of guaranteed wage employment to all adult members of rural households who volunteer to do unskilled manual work. The families, which are living below poverty line, will be covered under the scheme. This scheme is one of the many measures that the government implements to generate employment for those who are in need of jobs in rural areas.

Plus One Economics Employment-Growth, Informalisation and Related Issues Five Mark Questions and Answers

Question 1.
The following table shows Worker-Population Ratio in India during 1999-2000.
Plus One Economics Chapter Wise Questions and Answers Chapter 6 Rural Development img4

  1. Analyze the table
  2. Give reasons for the findings

Answer:
1. It shows the different levels of participation of people in economic activities. For every 100 persons, about 40 (by rounding off 39.5) are workers in India. In urban areas, the proportion is about 34 whereas in rural India, the ratio is about 42.

2. People in rural areas have limited resources to earn a higher income and participate more in the employment market. Many do not go to schools, colleges and other training institutions. Even if some go, they discontinue in the middle to join the workforce; whereas, in urban areas, a considerable section is able to study in various educational institutions.

Urban people have a variety of employment opportunities. They look for the appropriate job to suit their qualifications and skills. In rural areas, people cannot stay at home as their economic condition may not allow them to do so.

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 2.
Suggest the measures to be adopted to solve the problem of unemployment in India?
Answer:
Measures to solve the unemployment in India are suggested as follows.

  1. Investment in heavy and basic industries and consumer goods industries should be increased. They should provide more employment with the supply consumer goods.
  2. Cottage and small scale industries should be developed because they provide more employment by adopting labour intensive technique.
  3. Educational System should be changed. Emphasis should be given to vocational education.
  4. Means of transport and communication should be developed.
  5. Rapidly rising population should be checked by adopting family planning and welfare schemes,
  6. Rural work programme should be developed.
  7. Youth enterpreneurs should be financed for self-employment.
  8. Infrastructure of the economy should be increased.

Question 3.
How far formal sector is differentiated from informal sector? Point out some of the benefits of working in the formal sector. Analyze the informalization found among the Indian workforce.
Answer:
All the public sector establishments and those private sector establishments which employ 10 hired workers or more are called formal sector establishments and those who work in such establishments are formal sector workers. All other enterprises and workers working in those enterprises form the informal sector.

Thus, informal sector includes millions of farmers, agricultural labourers, owners of small enterprises and people working in those enterprises as also the self-employed who do not have any hired workers.

There are several benefits enjoyed by the workers in the formal sector. Some of them are :

  • Those who are working in the formal sector enjoy social security benefits.
  • They earn more than those in the informal sector.
  • Developmental planning envisaged that as the economy grows, more and more workers would become formal sector workers and the proportion of workers engaged in the informal sector would dwindle.

We learn that there are about 400 million workers in the country. There are about 28 million workers in the formal sector. That is only about seven per cent (28/400 × 100). Thus, the rest 93 per cent are in the informal sector. Out of 28 million formal sector workers, only 4.8 million, that is, only 17 percent (4.8/28 × 100) are women.

In the informal sector, male workers account for69 per cent of the workforce Since the late 1970s, many developing countries, including India, started paying attention to enterprises and workers in the informal sector as employment in the formal sector is not growing.

Workers and enterprises in the informal sector do not get regular income; they do not have any protection or regulation from the government. Workers are dismissed without any compensation. Technology used in the informal sector enterprises is outdated; they also do not maintain any accounts. Workers of this sector live in slums and are squatters.

Plus One Economics Chapter Wise Questions and Answers Chapter 7 Employment-Growth, Informalisation and Related Issues

Question 4.
Discuss causes responsible for unemployment in India.
Answer:
The causes responsible for unemployment in India may be discussed below.
1. Slow economic growth:
The nature of Indian economy is underdeveloped and the rate of economic growth is slow. This causes lower employment opportunities to the rising population.

2. Rapid Growth of Population:
Constant increase in population has been a great problem of India. It is one of the main causes of unemployment. Despite the completion of nine Five Year Plans, the number of unemployed has actually increased inspite of decreasing.

3. Agriculture:
A Seasonal Occupation: Agriculture is so underdeveloped in India that it largely offers seasonal employment. Most of the farmers remain idle for three to four months in a year. The volume of disguised unemployment is estimated to be nearly 15 percent of the total working population in agriculture.

4. Lack of Irrigation Facilities:
Despite the completion of Nine Five Year Plans, irrigation facilities could be provided only to 34 percent of agriculture area. For want of irrigation only one crop is grown in a year on the large part of agricultural land. Consequently, the farmers remain unemployed for quite sometime during the year.

5. Joint Family Systme:
It encourages disguised unemployment. Joint family system is more prevalent in rural areas; hence a high degree of disguised unemployment exists there.

6. Decline of Cottage and Small Industries:
The industrial development policy adopted by the Britishers adversely affected the artisans working in small and cottage industries. The goods previously produced by these industries are now being produced by large scale industries.

These artisans were, therefore, thrown out of employment. After Independence, Government of India has been taken several measures to revive and develop small scale and cottage industries, but still, these continue to be in distress.

7. Low Savings and Investment:
There is shortage of capital in India, and even the scarce capital has not been wisely invested. Bulk of the capital has been invested in large scale industries with high capital-output ratio needing more capital per unit of output.

8. Mobility of Labour:
Mobility of labour in India is very low. Owing to their attachment to the family, people generally do not move out to far off areas even when jobs are available there. Factors like diversity of language, religion and customs also contribute to low mobility. Lesser the mobility, greater the unemployment.

Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal

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Kerala Padavali Malayalam Standard 10 Guide Unit 3 Chapter 3 Athmavinte Velipadukal

Athmavinte Velipadukal Questions and Answers, Summary, Notes

Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 1

Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 2
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 3

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Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 9

Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 10
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Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 12
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 13

Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 14
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 15
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 16

Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 17
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 18
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 19
Kerala Padavali Malayalam Standard 10 Solutions Unit 3 Chapter 3 Athmavinte Velipadukal 20

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Students can Download Chapter 2 Inverse Trigonometric Functions Questions and Answers, Plus Two Maths Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Plus Two Maths Inverse Trigonometric Functions Three Mark Questions and Answers

Question 1.
Prove the following
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 1
Answer:
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 2

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 3
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 4

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 2.
Find the value of
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 5
Answer:
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 6

Question 3.
If tan-1x + tan-1y + tan-1z = π, show that x + y + z = xyz
Answer:
Given;
tan-1x + tan-1y + tan-1z = π
⇒ tan-1x + tan-1y = π – tan-1z
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 7
⇒ x + y + z = xyz.

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 4.
Match the following
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 8
Answer:
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 9

Question 5.
Solve 2 tan-1(cos x) = tan-1(2 cos x)
Answer:
2 tan-1(cosx) = tan-1(2cosx)
⇒ \(\frac{2 \cos x}{1-\cos ^{2} x}\) = 2cosx
⇒ 1 = 1 – cos2 x ⇒ 1 = sin2x
⇒ x = ±\(\frac{\pi}{2}\).

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 6.
Solve the following

  1. 2tan-1(cosx) = tan-1(2cosecx)
  2. tan-12x + tan-13x = \(\frac{\pi}{4}\)

Answer:
1. 2tan-1(cosx) = tan-1(2cosecx)
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 10

2. tan-12x + tan-13x = \(\frac{\pi}{4}\)
Plus Two Maths Inverse Trigonometric Functions 3 Mark Questions and Answers 11
⇒ (6x – 1)(x + 1) = 0
⇒ x = \(\frac{1}{6}\), x = – 1
Since x = – 1 does not satisfy the equation, as the LHS becomes negative. So x = \(\frac{1}{6}\).

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 7.
Solve 2 tan-1(cos x) = tan-1(2 cos x)
Answer:
2 tan-1(cos x) = tan-1(2 cos x)
⇒ \(\frac{2 \cos x}{1-\cos ^{2} x}\) = 2cosx
⇒ 1 = 1 – cos2 x
⇒ 1 = sin2 x ⇒ x = ±\(\frac{\pi}{2}\)

Plus Two Maths Inverse Trigonometric Functions Four Mark Questions and Answers

Question 1.
Prove that \(\sin ^{-1} \frac{12}{13}+\cos ^{-1} \frac{4}{5}+\tan ^{-1} \frac{63}{16}=\pi\)
Answer:
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 12

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 13

Question 2.

  1. Find the principal value of sec-1\(\left(-\frac{2}{\sqrt{3}}\right)\) (1)
  2. if sin\(\left(\sin ^{-1}\left(\frac{1}{5}\right)+\cos ^{-1}(x)\right)=1\), then find the value of x. (3)

Answer:
1. principal value of:
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 14

2. find the value of x:
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 15

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 3.
Solve the following
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 16
Answer:
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 17

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 18
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 19
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 20
The value x = –\(\frac{\sqrt{3}}{\sqrt{28}}\) makes the LHS negative, so rejected.

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 4.
(i) Choose the correct answer from the bracket. cos(tan-1 x), |x| < 1 is equal to (1)
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 21
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 22
Answer:
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 23
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 24
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 25
(draw a right triangle to convert ‘tan’ to ‘sin’).

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 5.
(i) In which quadrants are the graph of cos-1 (x) lies, x ∈ [-1,1 ] (1)
(ii) If cos-1x + cos-1y = \(\frac{\pi}{3}\), then
sin-1x + sin-1y = ……… (3)
(a) \(\frac{2 \pi}{3}\)
(b) \(\frac{\pi}{3}\)
(c) \(\frac{\pi}{6}\)
(d) \(\frac{\pi}\)
(iii) If tan-1x + tan-1y = \(\frac{\pi}{4}\) then prove that x + y + xy = 1 (2)
Answer:
(i) First and Second quadrant
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 27
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 28
⇒ x + y = 1 – xy ⇒ x + y + xy = 1.

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 6.
(i) sin(tan-1(1)) is equal to
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 29
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 30
Answer:
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 31
Plus Two Maths Inverse Trigonometric Functions 4 Mark Questions and Answers 32

Plus Two Maths Inverse Trigonometric Functions Six Mark Questions and Answers

Question 1.
Show that sin-1\(\frac{3}{5}\) – sin-1\(\frac{8}{17}\) = cos-1\(\frac{84}{85}\).
Answer:
Plus Two Maths Inverse Trigonometric Functions 6 Mark Questions and Answers 34
Plus Two Maths Inverse Trigonometric Functions 6 Mark Questions and Answers 35
(draw a right triangle to convert ‘tan’ to ‘cos’).

Plus Two Maths Chapter Wise Questions and Answers Chapter 2 Inverse Trigonometric Functions

Question 2.
(i) Choose the correct answer from the Bracket.
If cos-1x = y, then y is equal to (1)
(a) π ≤ y ≤ π
(b) 0 ≤ y ≤ π
(c) \(-\frac{\pi}{2}\) ≤ y ≤ \(\frac{\pi}{2}\)
(d) 0 ≤ y ≤ π
(ii) Find the value of cos-1 cos\(\left(\frac{7 \pi}{3}\right)\) (3)
(iii) Solve for x if, tan-1\(\left(\frac{1+x}{1-x}\right)\) = 2 tan-1x (2)
Answer:
(i) Range of cos-1x is [0, π] ⇒ 0 ≤ y ≤ π

(ii) Here \(\left(\frac{7 \pi}{3}\right)\) lie outside the interval [0, π]. TO make it in the interval proceed as follows.
Plus Two Maths Inverse Trigonometric Functions 6 Mark Questions and Answers 36
Plus Two Maths Inverse Trigonometric Functions 6 Mark Questions and Answers 37

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business

You can Download Nature and Purpose of Business Questions and Answers, Notes, Plus One Business Studies Chapter Wise Questions and Answers Kerala Chapter 1 help you to revise complete Syllabus and score more marks in your examinations.

Kerala Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business

1 Mark Questions and Answers

Plus One Business Studies Malayalam Notes Question 1.
State examples of Analytical industries.
Answer:
Petrol, diesel

Question 2.
Which of the broad categories of industries covers oil refinery and sugar mills?
(a) Primary
(b) Secondary
(c) Tertiary
(d) None of them
Answer:
(b) Secondary

Plus One Business Studies Chapter wise Question Papers Question 3.
Which of the following cannot be classified as an auxiliary to trade?
(a) Mining
(b) Insurance
(c) Warehousing
(d) Transport
Answer:
(a) Mining

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Plus One Business Studies Important Questions and Answers Question 4.
The industries which provide support services to
other industries are known as …….
(a) Primary industries
(b) Secondary industries
(c) Commercial industries
(d) Tertiary industries.
Answer:
(d) Tertiary industries

Question 5.
Which of the following cannot be classified as an objective of business?
(a) Investment
(b) Productivity
(c) Innovation
(d) Profit earning
Answer:
(a) Investment

Plus One Business Studies Important Question 6.
Business risk is not likely to arise due to
(a) Changes in government policy
(b) Good management
(c) Employee dishonesty
(d) Power failure
Answer:
(b) Good management

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Question 7.
Mr. Abu produces wheat for personal consumption. Will it be a business activity?
Answer:
No. It is not for performed for earning profit.

Question 8.
The human activities that are undertaken with an objective to earn money or livelihood are called ……….
Answer:
Economic Activities.

Question 9.
Activities undertaken to derive mere satisfaction are known as ……..
Answer:
Non-Economic Activities.

Question 10.
The activity is undertaken primarily to satisfy social, religious or cultural requirements of human beings. Which is this activity?
Answer:
Non economic activity

Question 11.
Classify the following activities into Economic and Non-Economic activities ………

  1. Running a stationery shop
  2. Conducting a seminar
  3. Operating a Cine house
  4. Watching television

Answer:

  1. Running a stationary shop – Economic activity
  2. Playing cricket – Non-economic activity
  3. Operating a cine house – Economic activity
  4. Watching television – Non-economic activity

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Question 12.
Identify the following activities ………..

  1. A Person visit to the temple for daily prayers.
  2. Driving a car for rent.
  3. Running a Hotel.

Answer:

  1. Non-economic activity
  2. Economic activity
  3. Economic activity

Question 13.
Identify the nature of activities of the following persons on the basis of economic and non-economic activities.

  1. Teacher in a School
  2. Gardener
  3. Housewife
  4. Social Worker
  5. Businessman
  6. Doctor

Answer:

  1. Economic activity
  2. Economic activity
  3. Non-economic activity
  4. Non-economic activity
  5. Economic activity
  6. Economic activity

Question 14.
Below are given certain non-economic activities. Convert them into economic activities.
Example: A nurse attending her ailing son. (Non-economic activity)
A nurse attending patients in her hospital. (Economic activity)

  1. A person working in his own garden.
  2. A lady preparing food for her husband.
  3. A man white-washing his own house.
  4. A teacher teaching his son at home.
  5. A chartered accountant preparing his own accounts.

Answer:

  1. A person working in a school garden.
  2. A lady preparing food in a restaurant.
  3. A man white-washing the building of a trade centre.
  4. A teacher teaching students in a school.
  5.  A chartered Accountant preparing accounts of a firm.

Question 15.
Find the odd one
(a) Teaching in a school
(b) Practicing in a court
(c) Praying in a church
(d) Running a hotel
Answer:
(c) Praying in a church

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Question 16.
The occupation in which people work for others and get remunerated in return is known as ………..
(a) Business
(b) Employment
(c) Profession
(d) None of them
Answer:
(b) Employment

Question 17.
…… is an economic activity performed for the purpose of earning profit.
Answer:
Business

Question 18.
……. is an occupation involving the provision of personal services of a specialized and expert nature.
Answer:
Profession

Question 19.
……. is an index of performance of business
Answer:
Profit

Question 20.
Complete the following on the basis of given hint
Profession: Fee
Business: ………
Employment: ………
Answer:
Business: Profit
Employment: Salary

Question 21.
Which of the following does not characterize business activity?
(a) Production of goods and services
(b) Presence of risk
(c) Sale or exchange of goods and services
(d) Salary or wages
Answer:
(d) Salary or wages

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Question 22.
Identify the type of activity the following person is doing:-
(a) Alex is an advocate
(b) Balan works in an organization as an Accountant
(c) Chandran buys goods from Banglore and sells in Kerala
(d) David is a doctor and has his own Hospital
Answer:
(a) Profession
(b) Employment
(c) Business
(d) Profession

Question 23.
Identify the following activities and give reason.
(a) A Chartered Account work in a company
(b) A Chartered Account runs a firm
Answer:
(a) Employment
(b) Profession

Question 24.
Identify the type and reward of this activity. Balabhasker, a doctor in a medical college
Answer:
Employment. The reward for employment is salary

Question 25.
Ajith running an internet cafe. Identify the economic activity mentioned here.
Answer:
Business

Question 26.
Mr. Shyam sold his own house for ? 5 lakhs, which is purchased for ? 4 lakhs. Decide whether it is a business activity or not.
Answer:
No. It is not a business activity

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Question 27.
Complete the following equation:
Commerce = + Aids to trade
(a) Service
(b) Industry
(c) Business
(d) Trade
Answer:
(d) Trade

Question 28.
……. is the process of buying and selling of goods and services.
Answer:
Trade

Question 29.
Thajudeen, a businessman from Japan purchased goods worth ₹ 5,00,000 from Kumar associates of India. Can you identify which type of trade was conducted between Thajudeen and Kumar associates?
Answer:
Export trade.

Question 30.
Trade between Bombay and Chennai is an example of ……Trade.
Answer:
Home trade

Question 31.
Buying and selling of goods between different countries are called …….
Answer:
Foreign Trade

Question 32.
When trade takes place within the boundaries of a country, it is called ……..
Answer:
Internal trade.

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Question 33.
…… is the process of selling goods to a foreign country.
Answer:
Export trade

Question 34.
When goods are purchased from a foreign country, it is known as ……
Answer:
Import trade

Question 35.
……. means importing of foreign goods from some countries to re-export them to other countries.
Answer:
Entrepot trade

Question 36.
When goods are bought in bulk from manufacturers/produces and sold in bulk to retailers is called ……..
Answer:
Wholesale trade

Question 37.
When goods are bought from wholesalers/produces and sold them to consumers is termed as …….
Answer:
Retail trade

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Question 38.
Diary farming for milk is an example of ………. industry.
Answer:
Genetic.

Question 39.
Extraction of coal is an example of industries.
(a) Genetic
(b) Construction
(c) Extractive
(d) Manufacturing
Answer:
Extractive industry

Question 40.
Time utility is created by
(a) transport
(b) warehousing
(c) insurance
(d) person
Answer:
(b) warehousing

Question 41.
Complete the following
Removing the hindrance of knowledge: Advertising
Removing the hindrance of time:?
Answer:
Warehousing

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Question 42.
Hindrance of knowledge in the exchange of goods are removed by ………
Answer:
Advertisement

Question 43.
……. removes hindrance of person.
Answer:
Trade

Question 44.
……. removes hindrance of place.
Answer:
Transport

Question 45.
……. removes hindrance of risk.
Answer:
Insurance

Question 46.
……… removes hindrance of finance.
Answer:
Banking

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2 Mark Questions and Answers

Question 1.
Explain any two business activities which are auxiliaries to trade.
Answer:
Auxiliaries to Trade (Aids to trade)
Activities which assist trade are called aids to trade or auxiliaries to trade.

Plus One Business Studies Chapter Wise Questions and Answers HSSlive Plus One Business Studies 1

1. Transport & Communication:-
Transport facilitates movement of raw material to the place of production and the finished products from factories to the place of consumption. Communication helps the producers, traders, and consumers to exchange information with one another.

2. Banking & Finance:-
Banking helps business activities to overcome the problem of finance. Commercial banks lend money in the form of overdraft, cash credit, loans, and advances, etc… and they also provide many services required for the business activity.

3. Insurance:-
The goods may be destroyed while in the production process or in transit due to accidents, or in storage due to fire or theft, etc. Insurance provides protection in all such cases.

4. Warehousing:-
The goods should be stored carefully from the time they are produced until the time they are sold. This function is performed by warehouses.

5. Advertising:-
Advertising helps in providing information about available goods and services and create in them a strong desire to buy the product.

Plus one Business Studies Question 2.
Abhijith owns an old car. He sells it and buys a new car. While Ajith purchases a few cars for selling at an assured profit. Do Abhijith and Ajith engage in business activities? Give reason.
Answer:
The activity of Abhjith is not a business activity. But we can say Mr. Ajith engages in business activities. Business is a continuous activity, so there must be regularity in its dealings and its ultimate objective is earning profit. Abhijith’s transaction is casual. So it is not a business activity.

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Question 3.
Find the odd one.

  1. Regularity in service / getting salary/service contract between employer and employee / huge capital investment
  2. Earning profit / innovation / effective utilization of resources / Appointment letter

Answer:

  1. Huge capital investment – others are features of employment
  2. Appointment letter – others are objectives of business

Plus One Business Question 4.
State any two characteristics of ‘business’.
Answer:
Business:-
Business may be defined as an economic activity involving the production or purchase and sale of goods and services with the main object of earning profit by satisfying human needs in the society.

Characteristics of business

  1. Business is an economic activity with the object of earning profit.
  2. Business includes all the activities concerned with the production or procurement of goods and services.
  3. There should be a sale or exchange of goods and services for the satisfaction of human needs.
  4. Business involves dealings in goods or services on a regular basis. Normally, one single transaction of sale or purchase is not treated as a business.
  5. One of the main objectives of business is to earn maximum profit.
  6. Business involves risk and uncertainty of income. Risk means the possibility of loss due to change in consumer taste and fashion, strike, lockout competition, fire, theft, etc.

Question 5.
The terms both industry and commerce related to business. As a student how do you correlate these two terms in the business?
Answer:
Business activities can be classified into two. They are Industry and commerce. Industry involves production or processing of goods meant for consumption or for production of other products. Business is a broader term than commerce. Commerce is the sum total of those processes which are engaged in the removal of hindrances of person, place and time in the exchange of commodities. Commerce includes all activities ensuring the free flow of goods and services from the producer to the consumer.
Commerce = Trade + aids to trade.

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Question 6.
Define Commerce.
Answer:
Commerce is the sum total of all activities involving the removal of hindrances in the process of exchange of goods and services and facilitates the availability for consumption. So it consists of trade and other support services that facilitate trade.

3 Mark Questions and Answers

Question 1.
Find the ‘odd one’ and state the reason.

  1. Teaching in a school, Practising in a court, Praying, Running a hotel.
  2. Regularity, Body of knowledge, Profit motive, Heavy Risk.
  3. No capital, Salary, Freedom of work, Service agreement.

Answer:

  1. Praying – All others are economic activities.
  2. Body of knowledge – All others are features of Business.
  3. Freedom of work – All others are features of employment.

Question 2.
Complete the following table with the help of the hints given below.

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Question 3.
Identify the following activities and give reason.

  1. A doctor works in a Government hospital
  2. A doctor runs his own clinic.
  3. A doctor treats his own family members.

Answer:

  1. Employment – Here, the doctor works for others, on a regular basis and gets a salary for his service.
  2. Profession – Here, the doctor is rendering services for others and gets fees for his service
  3. Non-economic activity – Here, no monetary benefit is derived but mental satisfaction.

Question 4.
Compare business with profession and employment.
Answer:
Comparison of Business, Profession, and Employment.

Plus One Business Studies Chapter Wise Questions and Answers HSSlive Plus One Business Studies 2

Classification of Business Activities
Business activities may be classified into two categories –

  1. Industry
  2. Commerce.

Chart showing business activities

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 3

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Question 5.
Match column A with column B and column C

A B C
Business Wages / Salary Qualification
Profession Earn profit Letter of appointment
Employment Fees Production and distribution

Answer:

A B C
Business Earn profit Production and distribution
Profession Fees Qualification
Employment Wages / Salary Letter of appointment

Question 6.
Explain the characteristics of business risk.
Answer:
Business Risks
The term ‘business risks’ refers to the possibility of inadequate profits or even losses due to uncertainties or unexpected events.
Business enterprises may face two types of risk,

i.e. speculative risk and pure risk. Speculative risks involve both the possibility of gain as well as the possibility of loss. It a rise due to a change in demand, change in price, etc. Pure risks involve only the possibility of loss or no loss. The chance of fire, theft or strike is examples of pure risks.

Nature of Business Risks

  1. Business risks arise due to uncertainties.
  2. Risk can be minimized, but cannot be eliminated. It is an essential part of business.
  3. Degree of risk depends mainly upon the nature and size of business:
  4. Profit is the reward for risk-taking.

Causes of Business Risks
Business risks arise due to a variety of causes. They are:-
1. Natural Causes:-
it includes natural calamities like flood, earthquake, lightning, heavy rains, famine, etc.

2. Human Causes:-
Human causes include dishonesty, carelessness or negligence of employees, strikes, riots, management inefficiency, etc.

3. Economic causes:
These include change in demand, change in price, competition, technological changes, etc.

4. Political Causes:-
Change in Govt, policies, taxation, licensing policy, etc.

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4 Mark Questions and Answers

Question 1.
Match the Following.

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 4
Answer:

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 5

Question 2.
Following is a list of activities. Classify these activities as Business, Profession or Employment

  1. Policeman on duty at your local police station.
  2. Teacher working in an educational institution.
  3. A driver driving a bus of a State Road Transport Corporation.
  4. A taxi-driver who runs his own taxi.
  5. A fisherman selling fish in a village.
  6. Gopal stitching cloth of the customers regularly at home.
  7. A daily-wager working in a factory.
  8. A gardener maintaining the lawns in a college.
  9. A lawyer practicing in a court.
  10. An engineer running his consultancy firm.

Answer:

  1. Employment
  2. Employment
  3. Employment
  4. Business
  5. Business
  6. Business
  7. Employment
  8. Employment
  9. Profession
  10. Profession

Question 3.
Mr. Jagajeevanram, who is running a skin clinic, got his MBBS degree and MD degree from Kerala University. Rahul has been working as an attender in the clinic for the last five years. After having this experience, he started his own clinic for skin diseases.
(a) Is it possible to start a clinic legally in his own name? Why?
(b) What are the essentials to run such an organization?
Answer:
(a) No. Mr. Rahul cannot start legally the clinic in his own name because he has no professional qualification and training,
(b) The essentials to run such an organization are:-

  1. There must be specialized knowledge and skill, i.e. MBBS degree approved by Medical Council of India.
  2. Formal training.
  3. Membership in Indian Medical Association (IMA)
  4. Follow the code of conduct enforced by IMA
  5. Charging fee for service.

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Question 4.
The following are some examples of industries
Fishing                           Textile industry
Bridge construction       Poultry farming
Limestone mining         Animal husbandry
Cement factory             Building works
Classify these industries under suitable heads.
Answer:
Extractive industry          Fishing, Limestone
Genetic industry              Poultry farming, Animal husbandry
Manufacturing industry   Textile industry, Cement industry
Construction industry      Bridge construction, Building works

Question 5.
Explain the concept of business risk and its causes.
Answer:

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 6

Business Risks
The term ‘business risks’ refers to the possibility of inadequate profits or even losses due to uncertainties or unexpected events.
Business enterprises may face two types of risk,

i.e. speculative risk and pure risk. Speculative risks involve both the possibility of gain as well as the possibility of loss. It a rise due to a change in demand, change in price, etc. Pure risks involve only the possibility of loss or no loss. The chance of fire, theft or strike is examples of pure risks.

Nature of Business Risks

  1. Business risks arise due to uncertainties.
  2. Risk can be minimized, but cannot be eliminated. It is an essential part of business.
  3. Degree of risk depends mainly upon the nature and size of business:
  4. Profit is the reward for risk-taking.

Causes of Business Risks
Business risks arise due to a variety of causes. They are:-
1. Natural Causes:-
it includes natural calamities like flood, earthquake, lightning, heavy rains, famine, etc.

2. Human Causes:-
Human causes include dishonesty, carelessness or negligence of employees, strikes, riots, management inefficiency, etc.

3. Economic causes:-
These include change in demand, change in price, competition, technological changes, etc.

4. Political Causes:-
Change in Govt, policies, taxation, licensing policy, etc.

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5 Mark Questions and Answers

Question 1.
Explain different types of manufacturing industries.
Answer:
Industry
Industry refers to economic activities, which are connected with the conversion of resources into useful goods. Industries may be divided into 3 categories. They are

1. Primary industries:-
Primary industries are connected with the extraction and production of natural resources and reproduction and development of living organisms, plants, etc. Such industries are further divided into two.

Extractive industries:-
These industries extract products from natural resources. E.g. mining, farming, hunting, fishing, etc.

Genetic industries:-
These industries are engaged in activities like rearing and breeding of animals, birds, and plants. E.g. diary farming, paultry farming, floriculture, pisciculture, etc.

2. Secondary industries:-
Secondary industries deal with materials extracted at the primary stage. Such goods may be used for consumption or for further production. Secondary industries are classified into two. They are:-

(i)   Manufacturing industries:-
Manufacturing industries engage in converting raw materials into finished goods. E.g. Conversion of rubber into cotton, timber into furniture rubber into tires, etc. Manufacturing industries may be further divided into four categories. They are,

  • Analytical industry which analyses and separates different elements from the same materials. E.g. Oil refinery
  • Synthetical industry which combines various ingredients into a new product. E.g. cement
  • Processing industry which involves successive stages for manufacturing finished products. Eg. Sugar and paper industry.
  • Assembling industry which assembles different component parts to make a new product. E.g. television, car, computer, etc.

(ii)  Construction industries:-
These industries are involved in the construction of buildings, dams, bridges, roads, etc.

3. Tertiary industries:-
These are concerned with providing support services to primary and secondary industries. Eg. Transport, banking, insurance, warehousing, communication, advertising, etc.

Question 2.
Mr. Shyam is a leading advocate in Ernakulam. He is also working as a lecturer in a law college. Identify and distinguish with the activities in which Mr. Shyam is engaged.
Answer:
Profession and Employment. Comparison of Business, Profession, and Employment.

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 7

Classification of Business Activities
Business activities may be classified into two categories –

  1. Industry
  2. Commerce.

Chart showing business activities

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 8

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Question 3.
The following are some examples of trade. Find the types of trade each of these belongs to.

  1. Purchase of petroleum products by India from Iraq.
  2. Purchase of fast-moving consumable goods from Bombay for sale in Kochi.
  3. Sale of tea leaf to Gulf countries.
  4. A provision store in a village.
  5. A shop which deals in tea only in bulk quantity.

Answer:

  1. Import trade
  2. Internal trade
  3. Export trade
  4. Retail trade
  5. Wholesale trade

Question 4.
Explain the features of business.

Plus One Business Studies Chapter Wise Questions and Answers Chapter 1 Nature and Purpose of Business 9

Business:-
Business may be defined as an economic activity involving the production or purchase and sale of goods and services with the main object of earning profit by satisfying human needs in the society.

Characteristics of business

  1. Business is an economic activity with the object of earning profit.
  2. Business includes all the activities concerned with the production or procurement of goods and services.
  3. There should be a sale or exchange of goods and services for the satisfaction of human needs.
  4. Business involves dealings in goods or services on a regular basis. Normally, one single transaction of sale or purchase is not treated as business.
  5. One of the main objectives of business is to earn maximum profit.
  6. Business involves risk and uncertainty of income. Risk means the possibility of loss due to change in consumer taste and fashion, strike, lockout competition, fire, theft, etc.

6 Mark Questions and Answers

Question 1.
Study of commerce is the study of Trade and Aids to Trade”. Evaluate this statement.
Answer:
Commerce includes Trade as well as Aids to Trade. Trade means exchange or buying and selling of goods. Classification of Trade 1. Internal 2. External
Activities which assist trade are called aids to trade. Classification of Aids to Trade

  1. Transport
  2. Communication
  3. Insurance
  4. banking
  5. Advertising
  6. Warehousing
  7. Sales promotion

8 Mark Questions and Answers

Question 1.
Explain the factors to be considered before starting a business.
Answer:
Starting a Business – Basic Factors
Factors to be considered for starting a business
1. Selection of line of business:
The first thing to be decided by any entrepreneur of a new business is the nature and type of business to be undertaken.

2. Size of the firm:
If the market conditions are favorable, the entrepreneur can start the business at a large scale. If the market conditions are uncertain and risks are high, a small size business would be a better choice.

3. Choice of form of ownership:
The selection of a suitable form of business enterprise i.e. Sole proprietorship, Partnership or a Joint-stock company is an important management decision. It depends on factors like the nature of business, capital requirements, liability of owners, legal formalities, continuity of business, etc.

4. Location of business enterprise:
Availability of raw materials and labour, power supply and services like banking, transportation, communication, warehousing, etc., are important factors while making a choice of location.

5. Financing:
Proper financial planning must be done to determine (a) the requirement of capital, (b) source from which capital will be raised and (c) the best ways of utilizing the capital in the firm.

6. Physical facilities:
Availability of physical facilities including machines and equipment, building and supportive services is a very important factor to be considered at the start of the business.

7. Plant layout:
Layout means the physical arrangement of machines and equipment needed to manufacture a product.

8. Competent worked force:
Every enterprise needs competent and committed employees to perform various activities so that physical and financial resources are converted into desired outputs.

9. Tax planning:
The promoter must consider in advance the tax liability under various tax laws and its impact on business decision

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Question 2.
The main objective of business is to earn profit through service. Explain the objectives of business in the light of this statement.
Answer:
Multiple Objectives of Business
The main objectives of a business are:-

1. Market standing:-
A business firm can succeed only when it has a good market standing. Market standing refers to the position of an enterprise in relation to its competitors.

2. Innovation:-
Innovation means developing new products or services or finding new ideas and new methods of production and distribution. Innovation accelerates the growth of an enterprise.

3. Productivity:-
Productivity is ascertained by comparing the value of output with the value of input. Every enterprise must aim at greater productivity through the best use of available resources.

4. Physical and financial resources:-
The business must aim at maximum utilization of available physical and financial resources, i.e. men, material, money, and machine in the best possible manner.

5. Earning Profit:-
Earning maximum profit is the primary objective of every business. Profit is required for the survival and growth of a business.

6. Manager performance and development:-
Efficient managers are needed to conduct and coordinate business activities. So it is the objective of an enterprise to implement various programs for motivating the managers.

7. Worker performance and attitude:-
Every enterprise must aim at improving its worker’s performance by providing fair salary, incentives, good working conditions, medical and housing facilities.

8. Social responsibility:-
It refers to the obligation of business firms to contribute resources for solving social problems and work in a socially desirable manner.

Question 3.
Explain with the help of a diagram, the different types of industries with suitable examples.
Answer:
Industry
Industry refers to economic activities, which are connected with the conversion of resources into useful goods. Industries may be divided into 3 categories. They are

1. Primary industries:-
Primary industries are connected with the extraction and production of natural resources and reproduction and development of living organisms, plants, etc. Such industries are further divided into two.

Extractive industries:-
These industries extract products from natural resources. E.g. mining, farming, hunting, fishing, etc.

Genetic industries:-
These industries are engaged in activities like rearing and breeding of animals, birds, and plants. E.g. diary farming, paultry farming, floriculture, pisciculture, etc.

2. Secondary industries:-
Secondary industries deal with materials extracted at the primary stage. Such goods may be used for consumption or for further production. Secondary industries are classified into two. They are:-

(i) Manufacturing industries:-
Manufacturing industries engage in converting raw materials into finished goods. E.g. Conversion of rubber into cotton, timber into furniture rubber into tires, etc. Manufacturing industries may be further divided into four categories. They are,

  • Analytical industry which analyses and separates different elements from the same materials. E.g. Oil refinery
  • Synthetical industry which combines various ingredients into a new product. E.g. cement
  • Processing industry which involves successive stages for manufacturing finished products. Eg. Sugar and paper industry.
  • Assembling industry which assembles different component parts to make a new product. E.g. television, car, computer, etc.

(ii) Construction industries:-
These industries are involved in the construction of buildings, dams, bridges, roads, etc.

3. Tertiary industries:-
These are concerned with providing support services to primary and secondary industries. Eg. Transport, banking, insurance, warehousing, communication, advertising, etc.