Ho lid a y H o m e w o rk S e s s io n -2 0 2 1 -2 2

Subject: ACCOUNTANCY Class: 12th

Part A

Prepare a project file on the topic Comprehensive Project. It can be made individually or in a group

of 3-4 students (all members of the group will submit their own file separately).

Key Instructions to be followed:

1. The project should be made on A4 size coloured sheets using coloured pens.

2. The Project should contain the Journal(include GST), Ledger, Trial Balance, Trading

Account, Profit and Loss Account, Profit and Loss Appropriation Account, Partners

Capital Accounts and Balance Sheet at a particular date.

3. Draw bar graphs or pie charts of Direct expenses, Indirect expenses, Current Assets

and Fixed Assets.

Project Layout:

1. Cover Page:

(a) Project details – Comprehensive Project.

(b) Student Information – Name, Class, Section, Roll No., School Name, Session 2020-21

2. Acknowledgement

3. Certificate by Teacher (see P.9 of your third book)

4. Index sheet

5. Case Study

6. Introduction sheet containing the following information -name of the project, objectives

of the project, period of study, analytical tools used, source material.

7. Steps to solve the case study.

Part B

Revise the following chapters thoroughly:

1. Accounting for Partnership Firms-Fundamentals

2. Change in Profit-Sharing Ratio Among the Existing Partners.

3. Admission of a Partner.

MRCR Public School, Julana Holiday Homework Session-2021-22

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Part C

Art Integrated Activity

Choose any one of the following projects;

1. Prepare a Partnership Deed assuming a partnership firm. It should contain all contents

of the deed (refer page no.2.3 of Part I book by T.S.Grewal).

2. Prepare Mind Maps on any two chapters from the following;

i) Financial Statements of Not-for-Profit Organisations.

ii) Accounting for Partnership Firms-Fundamentals

iii) Goodwill: Nature and Valuation.

iv) Change in Profit-Sharing Ratio Among the Existing

Partners. v)Admission of a Partner.

You can use Scrap file or A-4 size coloured sheets and coloured pens.

















1

Subject: BUSINESS STUDIES

Class: 12th

General Instructions: i. The assignment is divided into three parts, namely Part-A, Part-B and Part-C.

ii. All the questions given in Part-B must be attempted neatly in the business

studies class register only.

iii. Part-C consists of a compulsory art related activity to be completed by each

student during the vacation.

PART-A All students have been allotted topics for their Business Studies project, which

they are supposed to prepare as per CBSE curriculum guidelines (2020-21) already

shared with them during the online classes.

The files need to be prepared using white interleaf sheets only.

The file carries a weightage of 20 marks in the final exam.

PART-B Revise the following chapters thoroughly from NCERT:

i) Nature and significant of Management.

ii) Principal of Management.

iii) Business Environment

iv) Planning

PART-C Each student has to choose any one of the following compulsory art related activity:

v) Poster making – Chapter: Consumer Protection

On an A-3 size sheet prepare a poster depicting awareness about consumer protection,

consumer rights, duties, etc.

vi) Product designing activity - Chapter: Marketing

Design any fast moving consumer product with complete labeling, branding and

levels of packaging. Students can use their creativity to design a product of their

choice.

vii) PPT- Chapter: Financial Markets

Power point presentation based on popular Stock Market Scams is to be prepared

having a minimum of 10 slides and a maximum of 15.

viii) Collage Making- Chapter: Marketing

On an A-3 size sheet prepare a collage depicting global brands and the hidden

meaning behind the brand names.

Chemistry





























1

Subject: ECONOMICS

Class : 12th

Part A

Review the Economics Project made in Class XI and collect more News Articles and Case Studies

to support it. Redo the pages which have any overwriting or smudging. Follow all guidelines as

shared by the teacher in Class.

Part B

Revise and complete the written work assigned from the Text Book during Online Classes for the

following chapters;

1. Government Budget and the Economy

2. Money and Banking

3. Indian Economy on the Eve of Independence

4. Indian Economy 1950-1990

5. LPG- An Appraisal

6. Poverty

7. National Income Accounting

Part C

Choose any one option out of the following given to you as part of Art Integrated Learning

Activity assigned by the CBSE.

i. Prepare any five Mind Maps from the chapters studied so far. Present them beautifully

on Pastel sheets/ A3 sheets.

OR

ii. Sketch or paint any aspect of the Indian Economy on the Eve of Independence (eg state

of agriculture, industry, trade, infrastructure, demography under British rule)

OR

iii. Draw any cartoon on an A3 Sheet that reflects the steps taken by the government

to alleviate poverty and also briefly describe the cartoon.

OR

iv. Prepare a video or a PPT on the role of Central Bank in credit control in the economy,

also including some current steps taken by the Governor, Mr Shaktikanta Das to ease the

investments during this pandemic situation. This can be taken up by a group of 3-4

students collectively ensuring active participation by all.





HOLIDAY’S HOMEWORKCLASS:- 12th

SUBJECT:- ENGLISHQ 1. Read the newspapers daily and cut samples of the following in the fair register of English underlining it withthe holiday homework.

a) Two Reports ( On Corona Virus) 2x6=12b) Two Articles ( On Corona virus) 2x6=12

Q 2. Write any three examples of classified advertisements. 3x4=12Q 3. Write any two letters to the Editors of a newspaper of two National basic problems, effects and suggestions.

2x6=12Q 4. Write an article on the topic “ How Google Controls the life of an Average Person”? 150-200 words 10Q 5. You are the Secretary of Science Club of Your school Write a notice for your school notice board encourages

the bright science students of class 11th and 12th to participate in the Inter School Science Exhibition to beheld next week in a neighbouring school. 4

Q 6. Describe the following in 150 words:a) Pathetic condition of the people working in bangle industry of Firozabad. 6b) The life of slum children of elementary school classrooms. 6c) About M. Hamel, the French teacher. 6

Q 7. Find out the poetic devices of the poems 1,2,3 with their examples. 10Q 8. Write a speech in about 200 words on the topic ‘How did your school celebrate Annual Day’? 10

















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CHAPTER 3 & 4 1

MATRICES AND DETERMINANTS

VERY SHRT ANSWER TYPE QUESTIONS (1 Mark)

1. 1f X+3 1. y-4 x+y. find x and y.

2. If A and B find AB.

3. Find the value of ag + ag2 in the matrix A = [ads x 3

where a = i ifi>j where a 1-i + 2j +3 ifi s|

4 If B be a 4 x 5 type matrix, then what is the number of elements in the third column.

5. If A= and B= ind 3A-28.

6. f A= and B=efind (A +B).

21 7. If A = [1 0 4] and B=|5 find AB.

A_4 X*is symmetric matrix, then find x. 8. If A=y -3 X+11 [o 2

For what value of x the matrix -2 0 9 is skew symmetrix matrix. 3 4 X+5

10. If A = = P+Q where Pis symmetric and Q is skew-symmetric

matrix, then find the matrix Q.





2

a+ib Find the value of-c+ id a -ib

C+ id

11.

2x+5 = 0, find x. 12 "

|5x+ 2 9 12. If

13. For what value of k, the matrix has no inverse.

sin 30 cos 30° 14. If A =| L-sin 60° cos 60

What is JA.

2 -3 5

15. Find the cofactor of a2 in 6 4

1 5 -7

|13-2 16. Find the minor of a2g in 4 6

3 5 2|

17. Find the value of P, such that the matrix is singular. P

18. Find the value of x such that the points (0, 2), (1, x) and (3, 1) collinear.

19. Area of a triangle with vertices (k, O), (1, 1) and (0, 3) is 5 unit. Find

value (s) of k.

20. If A is a square matrix of order 3 and A| = - 2, find the value of -- 21. If A = 28 where A and B are square matrices of order 3 x 3 and |E

5, what is |A|?

What is the number of all possible matrices of order 2x3 with each = 0, 1 or 2.

22.

23 Find the area of the triangle with vertices (0, 0). (6, 0) and (4, 3).

24 1 x2 4 If2x 4 find x.





3 X+y y+Z Z+Xl

25. If A =| y,write the value of det A. X

1

26. If A= such that A = - 15, find a, C2 aC where d

cofactors of a, in A = [a,). 27. If A is a non-singular matrix of order 3 and A = -3 find ladj A

28. H A-6 find (ed A) Given a square matrix A of order 3 x 3 such that A = 12 find the v

of 1A adj A. 29.

30. If A is a square matrix of order 3 such that ladj A = 8 find A].

31. Let A be a non-singular square matrix of order 3 x 3 find ladj Al l 10.

32. If A=

3 33. If A=-1 2 3 and B=4 find A

SHORT ANSWER TYPE QUESTIONS (4 MARKS)

Find x, y, z and w 2x -y 3x

2x

: w 34.

35. Construct a 3 x 3 matrix A = [a whose elements are given

1+i+j if i 2j a -2/ iti<j





Find A and B if 2A+38-2 0 and A-28-6 2

11 1-2 3 36.

37. If A= and B [-2 -1 4]. verify that (AB) = B'A.

3 3 1

Express the matrix-2-2 1= P+Q where P is a symmetric an

2

4

38. -4-5

is a skew-symmetric matrix.

39. If A =

- sin 0 cos®' hen prove that A =cOsne cos e sin sinne

-sinne cosne'| where n is a natural number.

40. Let A-3 find a matrix D such

CD AB= O.

13 21[11 Find the value of x such that [1 x 1| 25 2 -o

15 3 2j 41.

Prove that the product of the matrices 42.

and cos cos sino sin¢

cos0 cose sin0 cos sin Lcose sin6 sine

is the null matrix, when 0 and differ by an odd multiple of

43. If A12 7 show that A2 - 12A - I = 0. Hence find A





44. If A= find {A) where f) = *- 5x -2.

45. If A=l2 find x and y y such that A2 xA + yl = 0.

Find the matrix X so that x2 -7-8-91 46.

1 47. H A- and B- then show that (AB)= B'A1 Test the consistency of the following method

48. system of equations bv m=

5 3x y 5; 6x 2y =3

49. Using elementary row transformations, find the inverse of the ma

A , if possible.

3 By using elementary column transformation, find the inverse of A = 50.

cosa 51. If A= sina

-Sinaand A + A' = I, then find the general value cosa'

Using properties of determinants, prove the following :Q 52 to Q5

a-b-c 2a 2a

52. 2b b-c-a 2b = (a+b+c 2c 2c C-a-b

X+2 x+3 x+2a

X+3 X+4 X+2b= 0 if a, b, c are in AP.

x+4 X+5 x+2c 53.

sina cosa sinla +8) cos sin(B+8)=0

siny cos y sin(y +ö)

54. sins





+ a

C 4ab. 55.

+b b+C a b C+a a+ b

6. +r r+p P+ 2 P r Z+X x+y x y z y +Z

a bc ac +c

57. a ab = 4ab'. ac

ab bbc

X+a 58.

b C

c=x +a+ b+c). a X+b

a

59. Show that 6

2 =(y - z)(z - x)(x - y)(yz + zx + xy).

xyl |y2 ZX

30. () If the points (a, b) (a', b) and (a - a, b- b) are collinear. Show

that ab = a'b.

(i) If A = ad verity that lAB = lAllB.

o 11 31. Given A = and B =1 oFind the product AB and

also find (AB)1

2. Solve the following equation for x.

a+x a x a x= 0.

a+ X

a - x

a-x a+ X

a-X a X





1a and I is the identity matrix of order 2, show 63. If A = tan o

that,

I + A = (1 - A)osa sina cosa

si in a

64. Use matrix method to solve the following system of equations 5x -7

2, 7x 5y = 3.

LONG ANSWER TYPE QUESTIONS (6 MARKS)

65. Obtain the inverse of the following matrix using elementary row operation=

o 1 21 A=1 2 3

3 1 1

1-1 21-2 o 11 2-3 to solve the system of equations 66. Use product | 0

3-2 4j|[ 6 1-2 X- y+ 2z = 1, 2y - 3z = 1, 3x 2y+ 4z = 2.

67 Solve the following system of equations by matrix method, where x # 0

y# 0, Z # 0

7 13.

-3 Fhd A, where A = |2 3 2, hence solve the system of linea

2

68.

3 -3 equations

x+ 2y- 3z = - 4

2x+3y + 22 2

3x 3y-42 = 11





69. The sum of three numbers is 2. If we subtract the second number fron twice the first number, we get 3. By adding double the second numbe and the third number we get 0. Represent it algebraically and find the numbers using matrix method.

70. Compute the inverse of the matrix.

3 -1

A =-15 6 and verify that A-1 A = l 5 -2

1 1 21 71. If the matrix A = 0 2 -3 and B8

1 -1 ther

2 3-2 4

compute (AB)1.

72. Using matrix method, solve the following system of linear equations

2x-y 4, 2y+ Z = 5, 2 + 2x = 7.

o 1 73. Find A'it A =|1 0 1. Also show that A=

1 1 O

2 2 74. Find the inverse of the matrix A = |-1 3 by using elementar

-2 column transformations.

8 75. Let A =| and fx) = *-4x+ 7. Show that f(A) =0. Use .

to find A5.

cosa -sina 0 76. If A = | sina cosa verify that A. (adj A) = (adj A). A = A





[2 -1 77. For the matrix A=-1 2 -1. verity that A3- 6A2 +9A- 4/= 0, hen

L1 -1 2 find A-1

78. Find the matrix X for which

79. By using properties of determinants prove the following

1+ a-b2 2ab -2b

1-a +b2 = (1+a+b2*. 2ab 2a

2b -2 2a 1-af-b

y+z xy (x+z

(x+y

y2 = 2xyz(x+ y+ z). 80. xy

xz yz

a a+b a+b+C

2a 3a+ 2b 4a+3b+2c=a.

3a 6a+3b 10a+6b+ 3c 81.

**1+X"|

82. If x, y, z are different and y y 1+y°= 0. Show that xyz = - 1.

z 2 1+z|

83. If x, y, z are the 10th, 13th and 15th terms of a G.P. find the value

9 logx 10 1

A =|logy 13 1

logz 15 1





84. Using the properties of determinants, show that

1+a 1 1

abcl 1 J=abc + be+ ca+ ab 1+b 1

1 1+c

85. Using properties of determinants prove that

-bc +be c+be af+ac -ac c+ac=(ab+ bc +ca) a+ab b + ab -ab

3 2 11 86. 1 A = |4 -1

7 3-32, find A and hence solve the system of equatio

3x+4y + 7Z = 14, 2x y + 3z = 4, x+ 2y 3z = 0.

ANSWERS

2. 1. X= 2, y = 7

3. 11. 4. 4

9-61 5. 0 29 6. -3 7. AB [26]. 8. X = 5

10. o 9. X = - 5

11. + b+ +f 12. X = 133

10 14. 1A = 1.

13. k-2

16. 15. 46





17. P - 8 18. X

10 20. 54. 19. k-

21. 40. 22. 729

23. 9 sq. units 24. X=t 2

25. 0 26.

27. 9 28. 5

29. 1728 30. A= 9

31. 100 32. 11

34. X= 1, y = 2, 2 = 3, W=4 33. AB = - 11

3 3/2 5/214 5 2

35.

36. A= B

-191 -110, 40. D-77 44 41. X = - 2 or - 14

43. A= A) = 0 44. 12-5

46. 45. X = 9, y = 14

11





48. Inconsistent 49. Inverse does not exist.

50. A- nEz 51. a = 2nT

61. AB - = r 64. x24y -24 62 0, 3a

2 3 66. X = 0, y = 5, Z = 3 65. A

-6 17 131 Ar 14 5

|-15 9 -68.

2 0-1 70. A=5 1 o

0 1

69. X = 1, y = - 2, z = 2

16 12 1 72. X = 3, y = 2, Z = 1. 21 11 7

1910-2 3 71. (AB)

3 2 61

AF=1 2 2 5

1 1

1 -11 1 1 -1

74. 73. A=





3 1 -1 -93 75. A-18 31 -118 77. 3

-1 1 3

3 78. X-24 -s -16 83.

86. X = 1, y = 1, Z = 1.





Holiday home work(Physics)Q.1 An electron at rest has a charge of 1.6 × 10–19 C. It

starts moving with a velocity v = c/2, where c is thespeed of light, then the new charge on it is -(1) 1.6 × 10–19 Coulomb

(2) 1.6 × 10–19

2

211

Coulomb

(3) 1.6 × 10–191

12 2

Coulomb

(4) 1.6×10−19

1− 122 Coulomb

Q.2 If a glass rod is rubbed with silk, it acquires apositive charge because -(1) Protons are added to it.`(2) Protons are removed from it.(3) Electrons are added to it.(4) Electrons are removed from it.

Q.3 Which one of the following statement regardingelectrostatics is wrong ?(1) Charge is quantized(2) Charge is conserved

(3) There is an electric field near an isolatedcharge at rest(4) A stationary charge produces both electric andmagnetic fields

Q.4 The dielectric constant for water is -(1) 1 (2) 40 (3) 81 (4) 0.3

Q.5 In M.K.S. System, 14��0

equals -

(1) 9 × 109 N-m2/C2

(2) 1 N-m2/C2

(3) 1 dyne - cm2 / stat C2

(4) 9 × 109 dyne x cm2 / stat C2

Q.6 A stationary electric charge produces-(1) Only electric fields

(2) Only magnetic field(3) Both electric as magnetic field(4) Neither electric Nor magnetic field

Q.7 An isolated solid metallic sphere is charged with +Qcharge .The distribution of their +Q charge on thesphere will be(1) uniform but on the surface alone

(2) non uniform but on the surface alone(3) uniform inside the volume

(4) non uniform inside the volume

Q.8 Two similar charge of +Q , as shown in figure areplaced at A and B. –q charge is placed at point Cmidway between A and B. –q charge will oscillate if

(1) It is moved towards A. (2) It ismoved towards B.(3) It is moved upwards AB.(4) Distance between A and B is reduced.

Q.9 When the distance between two charged particle ishalved, the force between them becomes -(1) One fourth (2) One half

(3) Double (4) Four times

Q.10 The force between two point charges in vacuum is15N, if a brass plate is introduced between the twocharges, then force between them will-(1) Becomes zero (2) Remains the same(3) Becomes 30 N (4) Becomes 60 N

Q.11 The force between an -particle and an electronseparated by a distance of 1 Å is -(1) 2.3 × 10–8 N attractive(2) 2.3 × 10–8 N Repulsive(3) 4.6 × 10–8 N attractive (4) 4.6 ×

10–8 repulsive

Q.12 Coulomb force between them is F. If a dielectricmaterial of dielectric constant (K) is placed betweenthem, the coulomb force now becomes.(1) F/K (2) FK(3) F/K2 (4) K2F

Q.13 Two point charges in air at a distance of 20 cm. fromeach other interact with a certain force. At whatdistance from each other should these charges beplaced in oil of relative permittivity 5 to obtain thesame force of interaction –(1) 8.94 × 10–2 m(2) 0.894 × 10–2 m(3) 89.4 × 10–2 m(4) 8.94 × 102m

Q.14 A certain charge Q is divided at first into two parts,(q) and (Q-q). Later on the charges are placed at acertain distance. If the force of interaction betweenthe two charges is maximum then-(1) (Q/q) = (4/1) (2) (Q/q) = (2/1)(3)(Q/q) = (3/1) (4) (Q/q) = (5/1)





Q.15 A unit charge is one which when placed in vacuumone cm from an equal charge of the same kind willrepel it with a force of-(1) 1 N (2) 1 dyne(3) 2 dyne (4) 4 dyne

Q.16 The force between two point charges placed invacuum at distance 1 mm is 18 N. If a glass plate ofthickness 1 mm and dielectric constant 6, be keptbetween the charges then new force between themwould be-(1) 18 N (2) 108 N(3) 3 N (4) 3 × 10–6 N

Q.17 Two similar and equal charges repel each other withforce of 1.6 N, when placed 3m apart. Strength ofeach charge is-(1) 40 C (2) 20C(3) 4C (4) 2C

Q.18 There are two charges +1 micro-coulomb and +5micro-coulomb, the ratio of force on them will be–(1) 1043 (2) 1 : 1(3) 10º (4) 10-43

Q.19 The three charges each of 5 × 10–6 coloumb areplaced at vertex of an equilateral triangle of side10cm. The force exerted on the charge of 1 Cplaced at centre of triangle in newton will be(1) 13.5 (2) zero(3) 4.5 (4) 6.75

Q.20 A point charge q1 exerts a force F upon anothercharge q2. If one other charge q3 be placed quite nearto charge q2, then the froce that charge q1 exerts onthe charge q2 will be(1) F (2) >F (3) < F (4) zero

Q.21 ABC is a right angle triangle AB=3cm, BC=4cmcharges + 15, +12, –12 esu are placed at A, B and Crespectively. The magnitude of the force experiencedby the charge at B in dyne is-(1) 125 (2) 35(3) 22 (4) 0

Q.22 Equal charges of each 2C are placed at a pointx = 0, 2, 4, and 8 cm on the x-axis. The forceexperienced by the charge at x=2 cm is equal to -(1) 5 N (2) 10 N(3) 0 N (4) 15 N

Q.23 Three equal charges (q) are placed at corners of aequilateral triangle. The force on any charge is-

(1) Zero (2) 3 ��2

�2

(3) ��2

3�2(4) 3 3 ��2

�2

Q.24 Five point charges, each of value +q coulomb, areplaced on five vertices of a regular hexagon of side Lmetre. The magnitude of the force on a point chargeof value -q coul. placed at the centre of the hexagonis -

(1)2

2

Lkq

(2)2

2

Lkq5

(3)2

2

Lkq3

(4) Zero

Q.25 Two charges 4q and q are placed 30 cm. apart. Atwhat point the value of electric field will be zero(1) 10 cm. away from q and between the charge(2) 20 cm. away from q and between the charge(3) 10 cm. away from q and out side the line joining

the charge.(4) 10 cm. away from 4q and out side the line joining

them.

Q.26 Four equal but like charge are placed at four cornersof a square. The electric field intensity at the centerof the square due to any one charge is E, then theresultant electric field intensity at centre of squarewill be :(1) Zero (2) 4E(3) E (4) 1/2E

Q.27 A proton is first placed at A and then at B betweenthe two plates of a parallel plate capacitor charged toa P.D. of V volt as shown.Then force on proton at A is-(1) more than at B(2) less than at B(3) equal to that at B(4) nothing can be said

Q.28 If mass of the electron = 9.1 × 10–31 Kg. Charge onthe electron = 1.6 × 10–19 coulomb andg = 9.8 m/s2. Then the intensity of the electric fieldrequired to balance the weight of an electron is-(1) 5.6 × 10-9 N/C (2) 5.6 × 10–11 N/C(3) 5.6 × 10–8 N/C (4) 5.6 × 10–7 N/C

Q.29 Six charges +Q each are placed at the corners of aregular hexagon of side (a), the electric field at thecentre of hexagon is-

(1) Zero (2)2

2

0 aQ6.

41

(3)2

2

0 aQ6.

41 (4)

2

2

0 aQ6.

41

Q.30 Two charged spheres A and B are charged with thecharges of +10 and +20 coul. respectively andseparated by a distance of 80cm. The electric field ata point on the line joining the centres of the twosphers will be zero at a distance from sphere A.(1) 20 cm (2) 33 cm





(3) 55 cm (4) 60 cm.

Q.31 Four charges +q, +q, –q and –q are placedrespectively at the corners A, B, C and D of a squareof side (a), arranged in the given order. Calculate theintensity at (O) the centre of the square .

(1) q24a.4 2

0

(2)2

0 a.4q24

(3) q24a. 2

0

(4)2

0 a.q24

Q.32 In electric field, a 6.75 charge experiences 2.5 Nforce, when placed at distance of 5m from the origin.Then potential gradient at this point will be- (inM.K.S.)(1) 5.71 × 105 (2) 3.71 × 105

(3) 18.81 × 105 (4) 1.881 × 105

Q.33 A small circular ring has a uniform chargedistribution. On a far-off axial point distance x fromthe centre of the ring, the electric field is proportionalto-(1) x–1 (2) x–3/2

(3) x–2 (4) x5/4

Q.34 When charge of 3 coulomb is placed in a Uniformelectric field , it experiences a force of 3000 newton,within this field, potential difference between twopoints separated by a distance of 1 cm is-(1) 10 Volt (2) 90 Volt(3) 1000 Volt (4) 3000 Volt.

Q.35 A uniform electric field having a magnitude E0 anddirection along positive x-axis exists.If the electricpotential(V) is zero at x = 0 then its value at x = + xwill be-(1) Vx = x E0 (2) Vx = –x.E0(3) Vx = x2 E0 (4) Vx = x2 E0

Q.36 The dimensions of potential difference is -(1) ML2T–2Q–1 (2) MLT–2Q–1

(3) MT–2Q–2 (4) ML2 T–1 Q–1

Q.37 1 e.s.u. of potential is equal to-(1) 1/300 volt (2) 8 ×1010 volt(3) 300 volt (4) 3 volt

Q.38 The earth's surface is considered to be at -(1) Zero potential (2) Negative Potential(3) Infinite Potential (4) Positive Potential

Q.39 The electric potential V at any point (x, y, z) in spaceis given by V = 4x2 volt. The electric field E in V/mat the point (1, 0, 2) is -(1) +8 in x direction (2) 8 in –x direction

(3) 16 in + x direction (4) 16 in –x direction

Q.40 ABC is equilateral triangle of side 1m. Charges areplaced at its corners as shown in fig. O is the mid-point of side BC the potential at point (O) is-

(1) 2.7 × 103 V (2) 1.52 × 105 V(3) 1.3 × 103 V (4) – 1.52 × 105 V

Q.41 In a region where E = 0, the potential (V) varies withdistance r as-(1) � ∝ 1

�

(2) � ∝ �(3) � ∝ 1

�2

(4) V = const. independent of (r)

Q.42 Charges of + × 10–9 are placed at each of the fourcorners of a square of side 8cm. The potential at theintersection of the diagonals is(1) 150 Volt (2) 1500 Volt(3) 900 Volt (4) 900 Volt

Q.43 The surface of a conductor -(1) is a non-equipotential surface(2) has all the points at the same potential(3) has different points at different potential(4) has at least two points at the same potential

Q.44 The electron potential (V) as a function of distance (x)[in meters] is given byV = (5x2 + 10 x – 9)Volt.The value of electric field at x =1m would be-(1) 20 Volt/m (2) 6 Volt/m(3) 11 Volt/m (4) –23 Volt/m

Q.45 Some equipotential lines are as shown is fig. E1, E2and E3 are the electric fields at points 1, 2 and 3 then-

(1) E1 = E2 = E3





(2) E1 > E2 > E3(3) E1 > E2, E2< E3(4) E1 < E2 < E3

Q.46 Three charges 2q, -q, -q are located at the vertices ofan equilateral triangle. At the center of the triangle.(1) The field is zero but potential is not zero.(2) The field is non-zero but the potential is zero.(3) Both, field and potential are zero.(4) Both, field and potential are non- zero

Q.47 For two infinitely long charged parallel sheets, theelectric field at P will be-

(1) )xr(2x2

(2) 00 )xr(2x2

(3) 0

(4) Zero

Q.48 A dipole with an electric moment is located at adistance r from a long thread charged uniformly witha linear charge density . Find the force F acting onthe dipole if the vector is oriented along the thread

(1)2

0r2p

(2) r2p

0

(3) r2p0 (4) Zero

Q.49 The false statement for a negatively charged objectis-(1) It may have negative potential(2) It may have positive potential(3) It may have zero potential(4) It will have negative potential only

Q.50 If 50 Joule of work must be done to move an electriccharge of 2C from a point, where potential is –10 voltto another point, where potential is V volt. Hence thevalue of V is-(1) 5 V (2) –15 V(3) + 15 V (4) + 10 V

Q.51 A charge of 10 µC is placed at the origin of x-ycoordinate system. The potential difference betweentwo points (0, a) and (a, 0) in volt will be-

(1) 9×104

�(2) 9×104

� 2

(3) 9×104

2�(4) Zero

Q.52 Two small spheres each carrying a charge q areplaced, distance r apart. If one of the spheres is takenaround the other in a circular path, the work done willbe equal to-(1) Force between them × r

(2) r2thembetweenForce

(3) Force between them × 2r(4) Zero

Q.53 If an -particle and a proton are accelerated from restby a potential difference of 1 megavolt then the ratioof their kinetic energy will be-(1) 1/2 (2) 1 (3) 2 (4) 4

Q.54 Figures shows the variation of electric field intensityE versus distance x. What is the potential differencebetween the points atx = 2m and at x = 6m from O ?

(1) 30 V (2) 60 V (3) 40 V (4) 80 V

Q.55 A hollow charged metal sphere has radius r. If thepotential difference between its surface and a point ata distance 3r from the centre is V, then the electricfield intensity at distance 3r from the centre is -

(1) r3V

(2) r4V

(3) r6V

(4) r2V

Q.56 Two metallic charged spheres whose radii are 20 cmand 10 cm respectively, each having 150 micro-coulomb positive charge. The common potentialafter they are connected by a conducting wire is-(1) 9 × 106 V (2) 4.5 × 106 V(3) 1.8 × 107 V (4) 13.6 × 106 V

Q.57 The work done in moving an electric charge q in anelectric field does not depend upon-(1) Mass of the particle(2) Potential difference between two points(3) Magnitude of charge(4) All of these





Q.58 When a test charge is brought in from infinity alongthe perpendicular bisector of an electric dipole, thework done is-(1) Positive (2) Zero(3) Negative (4) None of these

Q.59 Calculate the work done in taking a charge –2 × 10–9C from A to B via C(in diagram)

(1) 0.2 J (2) 1.2 J (3) 2.2 J (4) Zero

Q.60 Figure shows a set of euipotential surfaces. Themagnitude and direction of electric field that exists inthe region is-

(1) V/m at 45º with x-axis(2) V/m at –45º with x-axis(3) V/m at 45º with x-axis(4) V/m at –45º with x-axis

Q.61 Determine the electric field strength vector if thepotential of this field depends on x, y coordinates asV = 10 axy -

(1) )jxiy(a10 (2) ]jxiy[a10

(3) ]jxiy[a (4) ]kyix[a10

Q.62 The electric potential in volts due to an electric dipoleof dipole moment 2 × 10–8 coulomb-metre at adistance of 3m on a line making an angle of 60º withthe axis of the dipole is-

(1) 0 (2) 10 (3) 20 (4) 40

63. There are two charges + 1 C and + 5 Crespectively. The ratio of the forces acting on themwill be

(a) 1 : 5 (b) 1 : 1

(c) 5 : 1 (d) 1 : 25

64. The ratio of the forces between two small sphereswith constant charge (a) in air (b) in a medium ofdielectric constant K is

(a) 1 : K (b) : 1K

(c) 21 : K (d) 2 : 1K

65. Four charges arearranged at thecorners of a squareABCD, as shown inthe adjoiningfigure. The forceon the charge keptat the centre O is

(a) Zero

(b) Along the diagonal AC

(c) Along the diagonal BD

(d) Perpendicular to side AB

66. A charge Q is placed at each of the oppositecorners of a square. A charge q is placed at each ofthe other two corners. If the net electrical force onQ is zero, then Q/q equals

(a) 2 2 (b) – 1

(c) 1 (d)12

67. Two identical conducting spheres carrying differentcharges attract each other with a force F whenplaced in air medium at a distance ‘d’ apart. Thespheres are brought into contact and then taken totheir original positions. Now the two spheres repeleach other with a force whose magnitude is equalto that of the initial attractive force. The ratiobetween initial charges on the spheres is

(a) (3 8) only

(b) 3 8 only

(c) (3 8) or ( 3 8) only

(d) 8

68. A solid sphere of radius R1 and volume charge

density 0rrr = is enclosed by a hollow sphere of

radius R2 with negative surface charge density ,





such that the total charge in the system is zero. 0

is a positive constant and r is the distance from thecentre of the sphere. The ratio R2/R1 is

(a)0

sr

(b)0

2sr

(c) 02rs

(d) 0rs

69. Two small spherical balls each carrying a charge10Q C (10 micro–coulomb) are suspended by

two insulating threads of equal lengths 1 m each,from a point fixed in the ceiling. It is found that inequilibrium threads are separated by an angle 60°between them, as shown in the figure. What is the

tension in the threads (Given :0

1(4 )

= 9 109

Nm/C2)

(a) 18 N (b) 1.8 N

(c) 0.18 N (d) None of the above

70. Force of attraction between two point charges Qand – Q separated by d metre is Fe. When thesecharges are placed on two identical conductingspheres of radius R = 0.3 d whose centres are dmetre apart, the force of attraction between themis

(a) Greater than Fe (b) Equal to Fe(c) Less than Fe (d) None of these

71. Three charges each of magnitude q are placed atthe corners of an equilateral triangle, theelectrostatic force on the charge placed at thecenter is (each side of triangle is L)

(a) Zero (b)2

20

14

qLpe

(c)2

20

1 34

qLpe

(d)2

20

112

qLpe

72. Two particles of equal mass m and charge q areplaced at a distance of 16 cm. They do not

experience any force. The value ofqm

is

(a) l (b) 0Gpe

(c)04

Gpe

(d) 04 Gpe

73. Two point charges placed at a certain distance r inair exert a force F on each other. Then thedistance r at which these charges will exert thesame force in a medium of dielectric constant k isgiven by

(a) r (b) /r k

(c) /r k (d) r k74. Two spherical conductors B and C having equal

radii and carrying equal charges in them repel eachother with a force F when kept apart at somedistance. A third spherical conductor having sameradius as that of B but uncharged is brought incontact with B, then brought in contact with C andfinally removed away from both. The new force ofrepulsion between B and C is

(a) / 4F (b) 3 / 4F(c) / 8F (d) 3 / 8F

75. Two charges of equal magnitudes and at a distancer exert a force F on each other. If the charges arehalved and distance between them is doubled,then the new force acting on each charge is

(a) F/8 (b) F/4

(c) 4 F (d) F/16

76. Two positive ions, each carrying a charge q, areseparated by a distance d. If F is the force ofrepulsion between the ions, the number ofelectrons missing from each ion will be (e being thecharge on an electron)

(a)2

02

4 Fdq

pÎ(b)

202

4 Fde

pÎ

(c)2

02

4 Fed

pÎ(d)

202

4 Fde

pÎ





77. Angle between equipotential surface and lines offorce is

(a) Zero (b) 180°

(c) 90° (d) 45°

78. An uncharged sphere of metal is placed in betweentwo charged plates as shown. The lines of forcelook like

(a) A (b) B

(c) C (d) D

79. The electric field at a distance 3R/2 from the centreof a charged conducting spherical shell of radius Ris E. The electric field at a distance R/2 from thecentre of the shell is

(a) Zero (b) E

(c)2E

(d)3E

80. A metallic solid sphere is placed in a uniformelectric field. The lines of force follow the path(s)shown in figure as :

(a) 1 (b) 2

(c) 3 (d) 4

81. A thin conducting ring of radius R is given a charge+ Q. The electric field at the centre O of the ringdue to the charge on the part AKB of the ring is E.The electric field at the centre due to the charge onthe part ACDB of the ring is

(a) E along KO (b) 3 E along OK

(c) 3 E along KO (d) E along OK

82. The figure shows some of the electric field lines

corresponding to an electric field. The figure

suggests

(a) EA > EB > EC (b) EA = EB = EC(c) EA = EC > EB (d) EA = EC < EB

83. The displacement of a charge Q in the electric field

1 2 3ˆˆ ˆE e i e j e k

is ˆ ˆr ai bj

. The work done

is

(a) 1 2( )Q ae be

(b) 2 21 2( ) ( )Q ae be

(c) 2 21 2( )Q e e a b

(d) 2 21 2( ) ( )Q e e a b

84. Figures below show regular hexagons, with charges

at the vertices. In which of the following cases the

electric field at the centre is not zero

(a) 1 (b) 2

(c) 3 (d) 4





85. The figure shows the path of a positively charged

particle 1 through a rectangular region of uniform

electric field as shown in the figure. What is the

direction of electric field and the direction of

particles 2, 3 and 4

(a)Top ; down, top, down

(b) Top ; down, down, top

(c) Down ; top, top, down

(d) Down ; top, down, down

86. Four point +ve charges of same magnitude (Q) are

placed at four corners of a rigid square frame as

shown in figure. The plane of the frame is

perpendicular to Z–axis. If a –ve point charge is

placed at a distance z away from the above frame

(z << L) then

(a) –ve charge oscillates along the Z–axis

(b) It moves away from the frame

(c) It moves slowly towards the frame and stays inthe plane of the frame

(d) It passes through the frame only once

87. Three infinitely long charge sheets are placed as

shown in figure.

The electric field at point P is

(a)0

2 kse

(b)0

2 ks-e

(c)0

4 kse

(d)0

4 ks-e

88. Two point charges + 8q and – 2q are located at x =0 and x = L respectively. The location of a point onthe x–axis at which the net electric field due tothese two point charges is zero is

(a) 8 L (b) 4 L

(c) 2 L (d)4L

89. The spatial distribution of the electric field due tocharges (A, B) is shown in figure. Which one of thefollowing statements is correct

(a) A is +ve and B –ve and | | | |A B

(b) A is –ve and B +ve and | | | |A B

(c) Both are +ve but A B(d) Both are –ve but A B

90. A given charge is situated at a certain distancefrom an electric dipole in the end–on positionexperiences a force F. If the distance of the chargeis doubled, the force acting on the charge will be

(a) 2F (b) / 2F(c) / 4F (d) / 8F

91. An electric dipole is placed along the x–axis at theorigin O. A point P is at a distance of 20 cm fromthis origin such that OP makes an angle /3 withthe x–axis. If the electric field at P makes an angle with the x–axis, the value of would be

(a)3

(b) 1 3tan3 2

(c)23

(d) 1 3tan2

92. A molecule with a dipole moment p is placed in anelectric field of strength E. Initially the dipole isaligned parallel to the field. If the dipole is to berotated to be anti–parallel to the field, the workrequired to be done by an external agency is

(a) 2 pE (b) pE





(c) pE (d) 2pE





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