E PREVIOUS EXAMS QUESTIONS EXERCISE-I

E

Physics

41

PREVIOUS EXAMS QUESTIONS EXERCISE-I

1. A solid metallic sphere has a charge + 3Q.

Concentric with this sphere is a conducting spherical

shell having charge –Q. The radius of the sphere is

'a' and that of the spherical shell is 'b' (b > a). What

is the electric field at a distance R (a < R < b) from

the centre ? [BHU 2000]

(1) 20

4 Q

2 R (2) 20

3Q

4 R

(3) 20

3Q

2 R (4) 0

Q

2 R

2. Two positive point charge of 12 μC and 8 μC are10 cm apart. The work done in bringing them

4 cm closer is, [AMU 2000]

(1) 1.3 eV (2) 13 J

(3) 5.8 J (4) 5.8 eV

3. Figure below show regular hexagon, the charges

are placed at the vertices. In which of the following

cases the electric field at the centre is zero.

[AMU 2000]

5q 4q

3q6q

q 2q

I

q –q

q–q

q q

II

2q 2q

qq

2q 2q

III

2q 2q

qq

2q q

IV

(1) IV (2) III

(3) I (4) II

4. Three charges Q, +q and +q are placed at the

vertices of a right-angle

+q +q

Q

a

isoscelestriangle as shown in

figure. The net electrostatic

energy of the configuration is

zero. Q is equal to

(1) q

1 2

(2)

2q

2 2

[IIT 2000]

(3) –2q (4) +q

5. Electric field at the centre 'O' of a semicircle of

radius 'a' having linear charge

aO

density λ is given as

(1) 2

0

a

(2) 0 a

[AIPMT 2000]

(3) 02 a

(4)

0 a

6. In the fig. force on charge at A in the direction

normal to BC will be :– [RPET 2000]

(1) 2

kq

a (2)

2

2

kq

2a

q

q

a a

a

q

B C

A

(3) 2

2

kq

2a(4)

2

2

3kq

a

7. As shown in the fig. charges + q and – q are placed

at the vertices B and C of an A

+q –q

B C

isosceles triangle. The po-

tential at the vertex A is

(1) 2 20

1 2q.

4 a b (2) zero [MP PMT 2000]

(3) 2 20

1 q.

4 a b (4) 2 2

0

1 q.

4 a b

8. A hollow metal sphere of radius 5 cm is charged

such that the potential on its surface is 10 volts.

The electric field at the centre of the sphere will be

(1) 50 volt / meter [MP PMT 2000]

(2) 10 volt / meter

(3) 5 volt / meter

(4) zero

9. An electron enters an electric field with its velocity

in the direction of the electric lines of field then :–

[MP PET 2000]

(1) the path of the electron will be a circle

(2) the path of the electron will be a parabola

(3) the velocity of the electron will decrease just

after enter

(4) the velocity of the electron will increase just after

enter

Physics By Aastik Udenia Physics Academy

Physics Academy F-165 Aakriti Ecocity Bawadiakala,07554924027,8411930000

E42

10. A cube of metal is given a charge (+ Q), which of

the following statements is true : [MP PET 2001]

(1) potential at the surface of cube is zero

(2) potential within the cube is zero

(3) electric field is normal to the surface of the cube

(4) electric field varies within the cube

11. Electric charge is uniformly distributed along a long

straight wire of radius 1 mm. The charge per cm.

length of the wire is Q coulomb.

50cm

1m

Another cylindrical surface of

radius 50 cm. and length 1 m.

symmetrically encloses the wire

as shown in fig. The total flux

passing through the cylindrical

surface is :–

[MP PET 2001]

(1) 0

Q

(2) 0

100 Q

(3) 0

10 Q

(4) 0

100 Q

12. The electric potential and field at a point due to an

electric dipole are proportional to [MP PMT 2001]

(1) r, r–1 (2) r–1, r–2

(3) r–2, r–3 (4) r–2, r–2

13. If in a region V = 4x2 volt then electric field at(1, 0, 2) m. is – [MP PMT 2001]

(1) 8 V/m, towards (–x) axis

(2) 8 V/m, towards (+x) axis

(3) 4 V/m, towards (–x) axis

(4) 4 V/m, towards (+x) axis

14. Two horizontal metal plates having a potential

difference of 800 V are 0.02 m apart. A particle

of mass 1.92 × 10–15 kg is suspended in equilibrium

between the plates. If e is the elementry charge,

then charge on the particle is : [MP PMT 2001]

(1) e (2) 3e

(3) 6e (4) 8e

15. In Millikan's oil drop experiment, which of thefollowing charges can be present on the oil drops–

[RPMT 2001]

(1) 0.1e, charge equal to that on –particles(2) 2e, 1.6 x 10–19 C

(3) 2e, 1.6 x 10–19 C, 2.5e

(4) 1.5 e, e

16. If V = axy then electric field at a point proportionalto :– [RPMT 2001]

(1) r (2) r–1

(3) r–2 (4) r2

17. Gauss law is given by ∈0

s

E.ds

= q, if net charge

enclosed in gaussian surface is zero then :–

(1) E on surface must be zero [RPMT 2001]

(2) incoming and outgoing electric lines are equal

(3) there is a net incoming electric lines

(4) none

18. The electric field, at a distance of 20 cm from the

centre of a dielectric sphere of radius 10 cm is,

100 V/m. Then E at 3 cm distance from the centre

of sphere is :– [RPMT 2001]

(1) 100 V/m (2) 125 V/m

(3) 120 V/m (4) zero

19. Two point charges placed at a distance 'r' in air

exert a force 'F'. The value of distance at which

they exerts same force when placed in medium

(dielectric constant K) is :– [MP PMT 2001]

(1) rK (2) r/K

(3) r K (4) r K

20. Two equal negative charges – q, are placed at points(0,a) and (0,–a) on y axis, one positive charge q atrest is left to move from point (2a, 0). This chargewill be [KCET 2001]

(1) execute S.H.M. about the origin.

(2) oscillate but not execute S. H. M.

(3) move towards origin and will become stationary.

(4) S. H. M. along x axis.

21. A charge q is placed in the middle of a line joiningthe two equal and like point charges Q. This systemwill remain in equilibrium for which the value of qis – [KCET 2001]

(1) Q

3 (2)

Q

4

(3) Q

2(4)

Q

2

22. A ball of mass 1g and charge 10–8 C moves from a

point A (VA = 600 V) to the point B whose potential is

zero. Velocity of the ball at the point B is 20 cm s–1.

The velocity of the ball at the point A is :–

[KCET 2001]

(1) 16.7 ms–1 (2) 16.7 cm s–1

(3) 2.8 ms–1 (4) 2.8 cm s–1



E

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23. If a charged spherical conductor of radius 10 cm

has potential V at a point, distant 5 cm from its

centre, then the potential at a point distant 15 cm

from the centre will be : [JIMPER 2001]

(1) 3V (2) 3

V2

(3) 2

V3

(4) 1

V3

24. There is a uniform electric field of strength

103 V/m along y–axis. A body of mass 1 g and

charge 10–6 C is projected into the field from origin

along the positive x–axis with a velocity 10m/s. Its

speed in m/s after 10s is (Neglect gravitation)

(1) 10 (2) 5 2 [EAMCET 2001]

(3) 10 2 (4) 20

25. A uniform electric field pointing in positive

x–direction exists in a region. Let A be the origin,

B be the point on the x–axis at x = +1cm and C be

the point on the y–axis at y = +1 cm. Then the

potentials at the points A, B and C satisfy.

(1) VA < V

B(2) V

A > V

B[iit Scr 2001]

(3) VA < V

C(4) V

A > V

C

26. Choose correct statement regarding electric lines

of force :– [RPMT 2002]

(1) emerges from negative charge and meet at

positive charge

(2) where the density of electric lines of force are

more, the electric field in that region is weak.

(3) it is in radial direction for a point charge

(4) has a physical existance

27. An elementary particle of mass m and charge +e is

projected with velocity v at a much more massive

particle of charge Ze, where Z > 0. What is the

closest possible approach of the incident particle.

[Orissa jee 2002]

(1)

2

20

Ze

2 mv (2) 20

Ze

4 mv

(3)

2

20

Ze

8 mv(4) 2

0

Ze

8 mv

28. 64 small drops of mercury, each of radius 'r' and

charge q are combined to form a big drop. The

ratio of the surface density of the charge of each

small drop to that of a big drop is :– [KCET 2002]

(1) 4 : 1 (2) 1 : 4

(3) 1 : 64 (4) 64 : 1

29. Three point charges are placed at the corners of

an equilateral triangle. Assuming only electrostatics

forces are acting– [KCET 2002]

(1) if the charges have different magnitudes and

different signs, the system will be in equilibrium.

(2) the system will be in equilibrium if the charges

have the same magnitudes but different signs.

(3) the system can never be in equillibrium.

(4) the system will be in equillibrium if the charges

rotate about the centre of the triangle.

30. Two copper balls, each having weight 10 g are

kept in air 10 cm apart. If one electron from every

106 atoms is transfered from one ball to the other,

the coulomb force between them is (atomic weight

of copper is 63.5) :– [KCET 2002]

(1) 2.0 × 108 N

(2) 2.0 × 106 N

(3) 2.0 × 1010 N

(4) 2.0 × 104 N

31. Consider 1E

= x i + y j and 2E

= xy2 i + x2 y j

then : [RPMT 2001]

(1) only E1 is electrostatic

(2) only E2 is electrostatic

(3) both are electrostatic

(4) none

32. How many times, the potential of big drop in

comparison to small drops which is made of

8 droplets will be, if all the droplets are identical

and having equal charge ? [RPMT 2002]

(1) 2 times (2) 4 times

(3) 3 times (4) 8 times



E44

33. (–10–6) C charge is on a drop of water having mass

10–6 kg. What amount of electric field is applied on

the drop so that it is in the balanced condition with

its weight :– [MP PET 2002]

(1) 10 V/m upward

(2) 10 V/m downward

(3) 0.1 V/m downward

(4) 0.1 V/m upward

34. An electric dipole is placed in non uniform electric

field, then it experiences :– [AIIMS 2003]

(1) force must be zero

(2) torque must be non zero

(3) force must be non zero

(4) both may be non zero

35. What is the electric potential at a distance 'x' from

the centre inside a conducting sphere which is

charged upto Q and having radius R :–

[MP PET 2002]

(1) 0

14

Q

R(2)

0

14

Q

x

(3) 0

14 . x (4) zero

36. An electron and a proton are set free in a uniform

electric field. The ratio of their acceleration is :–

(1) unity (2) zero [MP PET 2002]

(3) p

e

m

m(4)

e

p

m

m

37. Two point charges + 9e and +e are kept 16 cm.

apart to each other. Where should a third charge q

be placed between them so that the system remains

in the equilibrium state :– [MP PET 2002]

(1) 24 cm from + 9e

(2) 12 cm from + 9e

(3) 24 cm from + e

(4) 12 cm from + e

38. When an electric dipole p is kept in a uniform

electric field E then for what value of the angle

between p and E

, torque will be maximum :–

(1) 90° (2) 0° [MP PET 2002]

(3) 180° (4) 45°

39. Identical charges (– q) are placed at each cornes of

a cube of side 'b' then E.P.E. of charge (+ q) which

is placed at centre of cube will be : [AIPMT 2002]

(1) 2

0

4 2 qb

(2)

2

0

8 2 qb

(3) 2

0

4 q

3 b

(4)

2

0

8 2 q4 b

40. Some positive charge is given to a conductor. Then

its potential :– [AIPMT 2002]

(1) is maximum at surface

(2) is maximum at centre

(3) remain same throughout the conductor

(4) is maximum somewhere between surface and

centre

41. What will be the ratio of electric field at the axis

and at equatorial line of a dipole :– [RPMT 2002]

(1) 1 : 2 (2) 2 : 1

(3) 4 : 1 (4) 1 : 4

42. Potential inside a hollow charged sphere is :–

(1) uniform [RPMT 2002]

(2) proportional to a distance from centre

(3) inversly proportional to the distance

(4) inversly proportional to square of distance

43. A proton is accelerated through potential difference

of 1 V then KE of proton will be :– [RPMT 2003]

(1) 1840 eV (2) 0.1 eV

(3) 1 eV (4) 1

1840 eV

44. There is a neutral metallic sphere. Some one wantsto develop 1 Faraday charge on it. How muchnumber of electron has to removed from thesphere ?

(1) 9 × 109 (2) 6.023 × 1023

(3) 8.85 × 10–12 (4) 6 × 1018

45. Dimension of volt is equivalent to :–

(1) J/C (2) N/C [RPMT 2003]

(3) wb/m2 (4) A/C

46. The potential at a distance R/2 from the centre of

a conducting sphere will be :– [RPMT 2003]

(1) 0 (2) 0

Q

8 R

(3) 0

Q

4 R (4) 0

Q

2 R



E

Physics

45

47. Four charges +Q, –Q, +Q and –Q are situated onthe corners of a square then at the centre of square

[RPMT 2003]

(1) E=0, V=0 (2) E=0, V0

(3) E0, V=0 (4) E=0, V0

48. For a dipole q = 2 × 10–6 C ; d = 0.01m find themaximum torque on the dipole if

E = 5 × 105 N/C :– [RPMT 2003]

(1) 1 × 10–3 Nm–1 (2) 10 × 10–3 Nm–1

(3) 10 × 10–3 Nm (4) 1 × 102 Nm2

49. An electric dipole is situated in an electric field ofuniform intensity E whose dipole moment is p andmoment of inertia is I. If the dipole is displacedthen the angular frequency of its oscillation is

[MP PET 2003]

(1)

1

2pE

I

(2)

3

2pE

I

(3)

1

2I

pE

(4)

1

2p

IE

50. If the electric flux entering and leaving an closedsurface respectively is φ

1 and φ

2 the electric charge

inside the surface will be [AIEEE 2003]

(1) (φ1 + φ

2)ε

0(2) (φ

2 – φ

1)ε

0

(3) 1 2

0

(4)

2 1

0

51. A thin spherical conducting shell of radius R has a

charge q. Another point charge Q is placed at the

centre of the shell. The electrostatic potential at a

point p a distance R

2 from the centre of the shell is

(1)

0

q Q 2

4 R

(2) 0

2Q

4 R [AIEEE 2003]

(3) 0 0

2Q 2q

4 R 4 R

(4) 0 0

2Q q

4 R 4 R

52. A hollow conducting sphere is placed in an electric

field produced by a point charge placed at P as shown

in figure. Let VA, V

B, V

C be the potentials at point A,

B and C respectively. Then [Orissa Jee 2003]

(1) VC > V

B

A

B

CP(2) V

B > V

C

(3) VA > V

B

(4) VA = V

C

53. Two particle of equal mass m and charge q areplaced at a distance of 16 cm. Net force on each

charge is zero then value of q

m is

(1) (2) 0

G

[MP PMT 2003]

(3) 0

G

4 (4) 04 G

54. Three charges –q1 , +q

2 and –q

3 are placed as

shown in the figure. The x–component of the force

on –q1 is proportional to : [AIEEE 2003]

a

–q3

–q1 +q2

b

y

x

(1) 32

2 2

qqsin

b a (2)

322 2

qqcos

b a

(3) 32

2 2

qqsin

b a (4)

322 2

qqcos

b a

55. An electron is moving round the nucleus of a

hydrogen atom in a circular orbit of radius r. The

Coulomb force F on the electron is : [AIPMT 2003]

(1) K2

2

e

rr (2) –K

2

3

e

rr

(3) K2

3

e

r

r (4) – K

2

3

e

r

r

56. A charge q is placed at the centre of a closed cub.The flux emitting from any one face of the cubewill be [AIPMT 2003]

(1) 0

Q

6 (2) 0

Q

3

(3) 0

Q

(4) 0

Q

4

57. An electric dipole has the magnitude of its charge

as q and its dipole moment is p. It is placed in a

uniform electric field E. If its dipole moment is along

the direction of the field, the force on it and its

potential energy are respectively :–

(1) q. E and p. E [AIPMT 2004]

(2) zero and minimum

(3) q. E and maximum

(4) 2q. E and minimum



E46

58. Conservation of charge is a consequence of(1) Columb law [RPMT 2004]

(2) Gauss law(3) continuity equation(4) Hygen's wave equation

59. Which statement is not correct for a conductingcharged sphere – [RPMT 2004]

(1) electric field inside the sphere is not equal to zero(2) V is constant inside the sphere(3) the direction of E is radial outside the sphere(4) charge density inside the sphere is zero

60. When charge is given to a soap bubble, it shows

(1) an increase in size [RPMT 2004]

(2) sometimes an increase and sometimes adecrease in size

(3) no change in size

(4) none of these

61. The electric field due to a uniformly charged sphereof radius R as a function of the distance from itscentre is represented graphically by[AIIMS 2004]

(1)

r

E

RO

(2) E

rRO

(3) E

rRO

(4) E

rRO

62. Equipotential surface associated with an electric field

which is increasing in magnitude along the

x–direction, are [AIIMS 2004]

(1) planes parallel to yz–plane

(2) planes parallel to xy–plane

(3) planes parallel to xz–plane

(4) coaxial cylinders of increasing radii around the

x–axis

63. In the basic CsCl crystal structure, Cs+ and Cl– ionsare arranged in a bcc configuration as shownbelow.The net electrostatic force exerted by theeight Cs+ ions on the Cl– ion is [AIIMS 2004]

(1) zero

(2) 1

4 0 16

3

2

2

e

a

a

a

Cs+

Cl–

Cs+

Cs+

Cs+

Cs+

Cs+

Cs+

Cs+

(3) 1

4 0 32

3

2

2

e

a

(4) 1

4

4

30

2

2 e

a

64. Using mass (M), length (L), time (T) and current (A)

as fundamental quantities, the dimension of

permittivity is [AIIMS 2004]

(1) ML–2T2A (2) M–1 L–3 T4 A2

(3) MLT–2A (4) ML2T–1A2

65. In an electric field electric dipole is rotated though

an angle θ,then work done will be [RPMT 2005]

(1) pE(1 – cosθ) (2) pE sinθ(3) zero (4) – pE cosθ

66. An isolated conducting sphere of radius r has given

a charge q, then its P.E. will be : [RPMT 2005]

(1) q

r

2

04 (2) q

r

2

02

(3) q

r80

(4) q

r

2

08

67. An electron travels a distance of 0.10 m in an electric

field of intensity 3200 V/m, enters perpendicular to

the field with a velocity 4×107m/s, what is itsdeviation in its path : [AIPMT 2005]

(1) 1.76 mm. (2) 17.6 mm.

(3) 176 mm. (4) 0.176 mm.

68. Two charges q1 and q2 are placed 30cm apart, as

shown in the figure.

40cm

Cq3

q2q1

A B30cm D

A third charge q3 is

moved along the arc of

a circle of radius 40cm

from C to D. The

change in the potential

energy of the system is

q3

04 k, where k is :– [AIPMT 2005]

(1) 8q2 (2) 6q2(3) 8q1 (4) 6q1

69. As per this diagram a point charge +q is placed at

the origin O. Work done in taking another point

charge –Q from the point y

O B

A

x

A [coordinates (0, a)] to

another point B

[coordinates(a,0)] along the

straight path AB is

(1) 20

qQ 1( )4 a

2 a (2) zero [AIPMT 2005]

(3) 20

q Q 1( )4 a

1

2(4) 2

0

q Q 1( )4 a 2 a



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47

70. Two infinitely long parallel conducting plates having

surface charge densities +σ and – σ respectivelyon inner faces are separated by a small distance.

The medium between the plates is vacuum. If∈0

is the dielectric permittivity of vacuum, then the

electric field in the region between the plates is

[AIIMS 2005]

(1) 0 volt/meter (2) 02

volt/meter

(3) 0

volt/meter (4)

0

2 volt/meter

71. Two cocentric conducting thin spherical shells A,

and B having radii rA and r

B (r

B > r

A) are charged

to QA and –Q

B (|Q

B| > |Q

A|). The electrical

field along a line, (passing through the centre) is:

[AIIMS 2005]

(1) (2)

(3) (4)

72. A square surface of side L metre is in the plane of

the paper. A uniform electric field E (volt/m),also

in the plane of the paper,

E

is limited only to the lower

half of the square surface,

(see figure). The electric

flux in SI units associated

with the surface is :–

(1) zero (2) EL2 [AIPMT 2006]

(3)

2

0

EL

2 (4) 2EL

2

73. An electric dipole of dipole moment p is lying

along a uniform electric field E. The work done in

rotating the dipole by 90° is :– [AIPMT 2006]

(1) 2pE (2) pE

(3) 2pE (4) pE

2

74. Two parallel large thin metal sheets have equal

surface charge densities(σ = 26·4 × 10–12 C/m2)of opposite signs. The electric field between these

sheets is [AIIMS 2006]

(1) 1·5 N/C (2) 1·5 × 10–10 N/C

(3) 3 N/C (4) 3 × 10–10 N/C

75. Two charges are +2µC and –5µC. Find the ratio of

forces acting on each, is :– [RPMT 2006]

(1) 2 : 5 (2) 5 : 2

(3) 1 : 1 (4) 4 : 25

76. Charges +q and –q are placed at points A and B

respectvely which are a distance 2L apart, C is the

mid point between A and B.

The work done in moving a A C B D

R

charge +Q along the semicircle

CRD is :– [AIPMT 2007]

(1) 0

qQ

6 L

(2) 0

qQ

4 L

(3) 0

qQ

2 L (4) 0

qQ

6 L

77. A hollow cylinder has a charge q coulomb within it.

If φ is the electric flux in units of voltmeter associatedwith the curved surface B, the flux linked with the

plane surface A in units of voltmeter will be[AIPMT 2007]

C A

B

(1) 0

q

(2) 0

1 q

2

(3) 0

q

2 (4) 3

78. Three point charges +q, –2q and +q are placed at

points (x = 0, y = a, z = 0),(x = 0, y = 0, z = 0)

and (x = a, y = 0, z = 0) respectively. The magnitude

and direction of the electric dipole moment vector

of this charge assembly are :– [AIPMT 2007]

(1) 2 qa along + x direction

(2) 2 qa along + y direction

(3) 2 qa along the line joining points

(x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)

(4) qa along the line joining points

(x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)



E48

79. The electric potential at a point in free space due

to a charge Q coulomb is Q × 1011 volts. The electric

field at that points is :- [AIPMT 2008]

(1) 4π∈0 Q × 1020 volt/m

(2) 12π∈0 Q × 1022 volt/m

(3) 4π∈0 Q × 1022 volt/m

(4) 12π∈0 Q × 1020 volt/m

80. The electric potential at a point (x, y, z) is given by:

V = –x2y – xz3 + 4

The electric field E at that point is :-

(1) E = i(2xy – z3) + jxy2 + k3z2x [AIPMT 2009]

(2) E = i(2xy + z3) + jx2 + k3xz2

(3) E = i2xy + j(x2 + y2) + k(3xz – y2)

(4) E = iz3 + jxyz + kz2

81. Three concentric spherical shells have radii a, b

and c(a < b < c) and have surface charge densities

σ, –σ and σ respectively. If VA, V

B and V

C denote the

potentials of the three shells, then, for c = a+b, we

have :- [AIPMT 2009]

(1) VC = V

B = V

A

(2) VC = V

A ≠ V

B

(3) VC = V

B ≠ V

A

(4) VC ≠ V

B ≠ V

A

82. Two positive ions, each carrying a charge q, are

separated by a distance d. If F is the force of

repulsion between the ions, the number of electrons

missing from each ion will be (e being the charge

on an electron) : [AIPMT Pre. 2010]

(1) 2

02

4 Fd

q(2)

202

4 Fd

e

(3) 2

02

4 Fe

d(4)

202

4 Fd

e

83. A square surface of side L meter in the plane of

the paper is placed in a uniform electric field

E (volt/m) acting along the same plane at an angle

θ with the horizontal side of the square as shown infigure. The electric flux linked to the surface, in units

of volt–m, is :- [AIPMT Pre. 2010]

E

(1) Zero (2) EL2

(3) EL2cosθ (4) EL2sinθ

84. The electric field at a distance 3R

2 from the centre

of a charged conducting spherical shell of radius R

is E. The electric field at a distance R

2 from the

centre of the sphere is :- [AIPMT Mains 2010]

(1) E (2) E

2

(3) E

3(4) Zero

85. A charge Q is enclosed by a Gaussian spherical

surface of radius R. If the radius is doubled, then

the outward electric flux will :- [AIPMT Pre. 2011]

(1) Increase four times

(2) Be reduced to half

(3) Remain the same

(4) Be doubled

86. Four electric charges + q, +q, – q and – q are placed

at the corners of a square of side 2L(see figure). The

electric potential at point A, midway between the

two charges +q and +q, is - [AIPMT Pre. 2011]

(1) 0

1 2q(1 5 )

4 L

+q –q

+q –q

A

(2) 0

1 2q 11

4 L 5

(3) 0

1 2q 11

4 L 5

(4) Zero



E

Physics

49

87. Three charges each +q are placed at the corners

of an isosceles triangle ABC of sides BC and AC,

2a. D and E are the mid points of BC and CA. The

work done in taking a charge Q from D to E is :-

[AIPMT Mains 2011]

(1) 0

3qQ

4 aA

B C

E

D

(2) 0

3qQ

8 a

(3) 0

qQ

4 a (4) Zero

88. The electric potential V at any point (x, y, z), all in

meters in space is given by V = 4x2 volt. The electric

field at the point (1, 0, 2) in volt/meter, is :-

(1) 8 along negative X-axis [AIPMT Mains 2011]

(2) 8 along positive X-axis

(3) 16 along negative X-axis

(4) 16 along positive X-axis

89. What is the flux through a cube of side 'a' if a point

charge of q is at one of its corner :

[AIPMT Pre. 2012]

(1) 0

q(2)

2

0

q6a

2

(3) 0

2q(4) 0

q

8

90. An electrical dipole of moment 'p' is placed in an

electric field of intensity 'E'. The dipole acquires a

position such that the axis of the dipole makes an

angle θ with the direction of the field. Assuming that

the potential energy of the dipole to be zero when

θ = 90°, the torque and the potential energy of the

dipole will respectively be :- [AIPMT Pre. 2012]

(1) p E sin θ, 2p E cos θ

(2) p E cos θ, –p E sin θ

(3) p E sin θ, –p E cos θ

(4) p E sin θ, –2p E cos θ

91. Four point charges –Q, –q, 2q and 2Q are placed,

one at each corner of the square. The relation

between Q and q for which the potential at the

centre of the square is zero is :[AIPMT Pre. 2012]

(1) Q = q (2) Q = 1

q

(3) Q = –q (4) Q = 1

q

92. Two metallic spheres of radii 1 cm and 3 cm are

given charges of – 1 × 10–2 C and 5 × 10–2 C,

respectively. If these are connected by a conducting

wire, the final charge on the bigger sphere is :-

[AIPMT Mains 2012]

(1) 4 × 10–2 C (2) 1 × 10–2 C

(3) 2 × 10–2 C (4) 3 × 10–2 C



E50

1. A sphere of radius R, is charged uniformly withtotal charge Q. Then correct statement for electricfield is (r = distance from centre) :–

(1) 3

KQr

R, where r < R (2) 2

KQ

r, where r ≥ R

(3) it is zero, at all points (4) (1) and (2) both

2. Two point charge q1 and q

2 are placed at a distance

of 50 cm from each other in air, and interact with a

certain force. Now the same charges are put in an

oil whose relative permittivity is 5. If the interacting

force between them is still the same, their separation

now is :–

(1) 16.6 cm. (2) 22.3 cm.

(3) 35.0 cm. (4) 28.4 cm.

3. Charge Q distributed on two concentric metallic

shells of radii 'r' and 'R' in such a way that their

surface charge densities are the same. Electric

potential at their common centre would be :–

(1) 20

Q(r R)

4 R

(2) 2 20

Q(r R)

4 (r R )

(3) 2 2

Q

4 (r R )(4)

0

Q(r R)

4

4. A ring of radius R is charged uniformly with a charge

+ Q . The electric field at any point on its axis at a

distance r from the circumference of the ring will be:–

(1) KQ

r(2) 2

KQ

r

(3) 1 / 22 2

3

KQr R

r (4) 3

KQr

R

5. Two positive charges of 1µC and 2µC are placed

1 metre apart. The value of electric field in N/C at

the middle point of the line joining the charges will

be :–

(1) 10.8 × 104 (2) 3.6 × 104

(3) 1.8 × 104 (4) 5.4 × 104

6. A charge q = 10–6 C of mass 2 g (fig.) is free to move

then calculate its speed, when it is at a distance of b.

[Assume a = 1 m,

fixed b

Q a q

b = 10 m, Q = 10–3 C]

(1) 90 m/s. (2) 9 m/s.

(3) 900 m/s. (4) none of these

BRAIN TEASERS E X E R C I S E – I I

7. At any point on the right bisector of line joining two

equal and opposite charges

(1) the electric field is zero

(2) the electric potential is zero

(3) the electric potential decreases with increasing

distance from centre

(4) the electric field is perpendicular to the line

joining the charges

8. Which of the following charge can not present on

oil drop in Millikan's experiment :–

(1) 4.0 × 10–19cb (2) 6.0 × 10–19cb

(3) 10.0 × 10–19cb (4) all of them

9. If in Millikan's oil drop experiment charges on drops

are found to be 8µC, 12µC, 20µC, then quanta of

charge is :–

(1) 8µC (2) 4µC

(3) 20µC (4) 12µC

10. Force between two identical spheres charged with

same charge is F. If 50% charge of one sphere is

transferred to second sphere then new force will

be :–

(1) 3

F4

(2) 3

F8

(3) 3

F2

(4) none of these

11. Two charges are placed as shown in fig. Where

should be a third charge be

70cm

9e 16e

placed so that it remains in

rest condition :–

(1) 30cm from 9e (2) 40cm from 16e

(3) 40cm from 9e (4) (1) or (2)

12. Which one of the following pattern of electric line

of force can't possible :–

(1) (2)

(3) (4)



E

Physics

51

13. A sphere of radius R and charge Q is placed insidean imaginary sphere of radius 2R whose centrecoincides with the given sphere. the flux related toimaginary sphere is :–

(1) 0

Q

(2) 0

Q

2

(3) 0

4Q

(4) 0

2Q

14. 20 μC charge is placed inside a closed surface thenflux related to surface is φ. If 80 μC charge is addedinside the surface then change in flux is :–

(1) 4φ (2) 5φ(3) φ (4) 8φ

15. A solid conducting sphere having a charge Q issurrounded by an uncharged concentric conductingspherical shell. Let the potential difference betweenthe surface of the solid sphere and that of the outersurface of the shell be V. If the shell is now given acharge of -3Q the new potential difference betweenthe same two surfaces is

(1) V (2) 2V

(3) 4V (4) -2V

16. A nonconducting solid sphere of radius R is uniformlycharged. The magnitude of the electric field due tothe sphere at a distance r from its centre -

(a) increases as r increases, for r < R

(b) decreases as r increases, for 0 < r < (c) decreases as r increases, for R < r < (d) is discontinuous at r = R

(1) a, c (2) c, d

(3) a, b (4) b, d

17. Two balls carrying charges +7µC and –5µC attracteach other with a force F. If a charge –2µC is addedto both, the force between them will be :–

(1) F (2) F

2

(3) 2F (4) zero

18. The dielectric constant of a metal is :–

(1) ∞ (2) 0

(3) 1 (4) none of these

19. Four charges 2C, – 3C, –4C and 5C respectivelyare placed at all the corners of a square. Which ofthe following statements is true for the point ofintersection of the diagonals :–

(1) E = 0, V = 0 (2) E 0, V = 0

(3) E = 0, V 0 (4) E 0, V 0

20. Two conductors of the same shape and size. Oneof copper and the other of aluminium (lessconducting) are placed in an uniform electric field.

the charge induced in aluminium

(1) will be less than in copper(2) will be more than in copper

(3) will be equal to that in copper(4) will not be connected with copper

21. Which statement is true :

(i) A ring of radius R carries a uniformly distributedcharge +Q. A point charge –q is placed on theaxis of the ring at a distance 2R from the centreof the ring and released from rest. The particleexecutes a simple harmonic motion along the

axis of the ring.

(ii) Electrons move from a region of higherpotential to that of lower potential

(1) only (i) (2) only (ii)

(3) (i), (ii) (4) none of them

22. A non - conducting ring of radius 0.5 m,1.11 x 10–10

coulomb charge is non - uniformly distributed overthe circumference of ring, produces electric field Earound itself. If = 0 is the centre of ring, then the

value of

0

E.d

is :–

(1) 2 V (2) – 2 V

(3) – 1 V (4) zero

23. Three charges q, 2q and 8q are to be placed on a9 cm long straight line. Where the charges shouldbe placed so that the potential energy of this systemis minimum :–

(1) q charge between 2q and 8q charges and 3 cmfrom charge 2q

(2) q charge between 2q and 8q charges and 5 cmfrom the charge 2q.

(3) 2q charge between q and 8q charges and 7cmfrom the charge q.

(4) 2q charge between q and 8q charges and 9 cmfrom the charge q.

24. In the electric field of charge Q,another charge is carried from Ato B, A to C, A to D and A to E,then work done will be :–

(1) minimum along path AB Q

AB

CD

E

(2) minimum along path AD

(3) minimum along path AE

(4) zero along all the paths



E52

25. Choose the incorrect statement :–

(1) the potential energy per unit positive charge inan electric field at some point is called theelectric potential.

(2) the work required to be done to move a pointcharge from one point to another in an electricfield depends on the position of the points

(3) the potential energy of the system will increaseif a positive charge is moved against ofCoulombian force

(4) the value of fundamental charge is not equivalentto the electronic charge.

26. A spherical droplet having a potential of 2.5 volt isobtained as a result of merging of 125 identicaldroplets. Find the potential of the constituent droplet

(1) 0.4 V (2) 0.5 V

(3) 62.5 V (4) 0.1 V

27. The electric field in a certain region is given by

3

K ˆE ( )ix

. The dimensions of K are–

(1) MLT–3A–1 (2) ML–2T–3A–1

(3) ML4T–3A–1 (4) dimensionless

28. Two charges of equal magnitude q are placed at adistance 2a. Another charge q of mass m, is placed

midway between the two charges on X–axis. If thischarges is displaced from equilibrium state to adistance x(x << a), then the particle :–

(1) will execute simple harmonic motion aboutequilibrium position

(2) will be oscillating about equilibrium position but

will not execute simple harmonic motion

(3) will not return back to the equilibrium position

(4) will stop at equilibrium position

29. Two equal and like charges when placed 5 cm apartexperience a repulsive force of 0.144 newton. Themagnitude of the charge in micro–coulomb will be

(1) 0.2 (2) 2

(3) 20 (4) 12

30. 15 joule of work has to be done against an existingelectric field to take a charge of 0.01 C from A to

B. Then the potential difference (VB – V

A) is :–

(1) 1500 volt (2) – 1500 volt

(3) 0.15 volt (4) none of these

31. In a region of space the electric field is given by

E= 8 i + 4j+3 k. The electric flux through a

surface of area of 100 units in x–y plane is :–

(1) 800 units

(2) 300 units

(3) 400 units

(4) 1500 units

32. For a dipole, the value of each charge is 10–10 state

coulomb and separation is 1Å, then its dipole

moment is :–

(1) one debye (2) 2 debye

(3) 10–3 debye (4) 3 × 10–20 debye

33. Two infinite linear charges are placed parallel to

each other at a distance 0.1 m from each other. If

the linear charge density on each is 5 μC/m, thenthe force acting on a unit length of each linear charge

will be :–

(1) 2.5 N/m (2) 3.25 N/m

(3) 4.5 N/m (4) 7.5 N/m

34. Fig. shows field lines of an electric field, the linespacing parallel to the page is same every where.If the magnitude of the field at A is 40 N/C, then

the magnitude of

B

A

yx

(y 2x)the field at B isapproximately

(1) 40 N/C

(2) 80 N/C

(3) 20 N/C

(4) can not be determined

35. In 1 g of a solid, there are 5 × 1021 atoms. If oneelectron is removed from everyone of 0.01% atoms

of the solid, the charge gained by the solid is :–

(electronic charge is 1.6 × 10–19 C)

(1) + 0.08 C

(2) + 0.8 C

(3) – 0.08 C

(4) – 0.8 C



E

Physics

53

36. Semicircular ring of radius 0.5 m. is uniformly

charged with a total charge of 1.4 × 10–9 C. Theelectric field intensity at centre of this ring is :–

(1) zero (2) 320 V/m.

(3) 64 V/m. (4) 32 V/m.

37. A charge 10 esu is placed at a distance of 2 cm.

from a charge 40 esu and 4 cm. from another

charge – 20 esu. The potential energy of the charge

10 esu is :– (In ergs)

(1) 87.5 (2) 112.5

(3) 150 (4) zero

38. A point charge q of mass m is located at the centre

of a ring having radius R and charge Q. When it is

displaced slightly, the point charge accelerates along

the x–axis to infinity, the ultimate speed of the point

charge :–

(1) 2kQq

mR(2)

kQq

mR

(3) kQq

mR2(4) zero

39. Two point charges of + 2 μC and + 6μC repeleach other with a force of 12 N. If each is given an

additional charge of - 4 μC, then force will become:–

(1) 4N (attractive) (2) 60 N (attractive)

(3) 4 N (Repulsive) (4) 12 N (attractive)

40. What equal charges would to be placed on earth

and moon to neutralize their gravitational attraction

(Use mass of earth = 1025 kg, mass of moon = 1023 kg)

(1) 8.6 × 1013 C (2) 6.8 × 1026 C

(3) 8.6 × 103 C (4) 9 × 106 C

41. The electric field in a region of space is given by

E = (5i + 2j)N/C. The electric flux due to this

field through an area 2m2 lying in the YZ plane, in

S.I. units is:–

(1) 10 (2) 20

(3) 10 2 (4) 2 29

42. The total flux associated with given cube will be -

where 'a' is side of cube :–

(1

0 = 4π × 9 × 109)

(1) 162 π × 10–3 Nm2/C

a8 C

4 C

2 C 1 C

3 C6 C

7 C

5 C

a

a

(2) 162 π × 103 Nm2/C

(3) 162 π × 10–6 Nm2/C

(4) 162 π × 106 Nm2/C

43. A sphere of 4 cm radius is suspended within a hollow

sphere of 6 cm radius. The inner sphere is charged

to a potential 3 e.s.u. When the outer sphere is

earthed. The charge on the inner sphere is -

(1) 54 e.s.u (2) 1

4 e.s.u

(3) 30 e.s.u (4) 36 e.s.u

44. Two identical small spheres carry charge of Q1 andQ2 with Q1>>Q2. The charges are d distance apart.The force they exert on one another is F1. Thespheres are made to touch one another and thenseparated to distance d apart. The force they exerton one another now is F2. Then F1/F2 is :–

(1) 1

2

4Q

Q (2) 1

2

Q

4Q

(3) 2

1

4Q

Q(4)

2

1

Q

4Q

45. A point particle of mass M is attached to one end

of a massless rigid non-conducting rod of length L.

Another point particle of same mass is attached to

the other end of the rod. The two particles carry

charges +q and & q repectively. This arrangementis held in a region of uniform electric field E such

that the rod makes a small angle (< 50) with thefield direction. The minimum time needed for the

rod to become parallel to the field after it is set

free. (rod rotates about centre of mass)

(1) 22

ML

qE(2)

ML

qE2

(3) 2 2

ML

qE(4) 4

2

ML

qE



E54

46. A particle of mass m and charge q is released from

rest in an electric field E. Then the K. E. after time

t will be:

(1) 2 22E t

mq(2)

2 2 2E q t

2m

(3) 2

2

Eq m

2t(4)

Eqm

2t

47. The electric potential at a point due to an electric

dipole will be :

(1) k3

P . r

r

(2) k2

P . r

r

(3) k3

P r

r

(4) k2

P r

r

48. Two charges 9e and 3e are placed at a distance r.

The distance of the point where the electric field

intensity will be zero, is :–

(1) r

(1 3 ) from 9e charge

(2)

r

1(1 )

3 from 9e charge

(3) r

(1 3 ) from 3e charge

(4)

r

1(1 )

3 from 3e charge

49. A point charge q1 exerts a force F upon another

point charge q2. If a third charge q

3 be placed quite

near the charge q2 then the force that charge q

1

exerts on the charge q2 will be :

(1) F (2) > F

(3) < F (4) zero

50. The rupture of air medium occurs at E = 3 × 106 V/m.

The maximum charge that can be given to a sphere

of diameter 5 m. will be (in coulomb):

(1) 2 × 10-2 (2) 2 × 10-3

(3) 2 × 10-4 (4) 2 × 10-5

51. A charge Q is divided in two parts Q1 and Q

2 and

these charges are placed at a distance R. There

will be maximum repulsion between them when

(1) 1 2

Q Q QQ , Q

R R

(2) 1 2

2Q QQ , Q

3 3

(3) 1 2

3Q QQ , Q

4 4

(4) 1 2

QQ Q

2

52. Electric field at a distance x from origin is given as

E = 2

100

x, then potential difference between points

situated at x = 10 m and x = 20 m.

[RPMT 94, RPET 89]

(1) 5 V (2) 10 V

(3) 15 V (4) 4V

53. As shown in figure, on bringing a charge Q from

point A to B and from B to C,

A B

C

the work done are 2 joule and

– 3 joule respectively. The

work done in bringing the

charge from C to A will be

(1) – 1 joule (2) 1 joule [RPMT 94]

(3) 2 joule (4) 5 joule

54. The force of repulsion between two point charges

is F, when these are at a distance of 0.1 m apart.

Now the point charges are replaced by spheres of

radii 5cm having the charge same as that of point

charges. The distance between their centre is 0.1 m,

then the force of replusion will – [RPET 94]

(1) increases (2) decreases

(3) remains same (4) becomes 10F

9

55. Five balls numbered 1 to 5 are suspended usingseparate threads. Pairs (1,2); (2,4) and (4,1) showelectrostatic attraction, while pairs (2,3) and (4,5)show repulson. The ball 1 may be [RPMT 95]

(1) positively charged(2) negatively charged(3) either (+ve) or (–ve)(4) neutral



E

Physics

55

56. The force on a charge situated on the axis of adipole is F, if the charge is shifted to double thedistance, the acting force will be –

(1) zero (2) F

2

(3) F

4(4)

F

8

57. Two charges 4q and q are placed at a distance apart. An another charged particle Q is placed inbetween them (at mid point). If resultant force onq is zero then the value of Q is –

(1) q (2) – q

(3) 2q (4) – 2q

58. Two similar spheres having +q and –q charges arekept at a certain distance. F force acts between thetwo. If in the middle of two spheres, another similarsphere having +q charge is kept, then it experiencesa force in magnitude and direction as :–

(1) zero having no direction.

(2) 8F towards +q charge

(3) 8F towards –q charge.

(4) 4F towards +q charge.

59. A 5C charge experiences a force of 2000 N when

moved between two points separated by a distanceof 2 cm in a uniform electric field. The potentialdifference between the two points is:–

(1) 8 volt (2) 80 volt

(3) 800 volt (4) 8000 volt

60. For the given figure the direction of electric field atA will be :

(1) towards AL

A

–Q

B C

Q

Z

L X

Y(2) towards AY

(3) towards AX

(4) towards AZ

61. The electric potential and electric field at any givenposition due to a point charge are 600 V and200 N/C respectively. Then magnitude of point

charge would be

(1) 3 μC (2) 30 μC

(3) 0.2 μC (4) 0.5 μC

62. Two small identical spheres, each of mass 1 g andcarrying same charge 10–9 C are suspended bythreads of equal length. If the distance betweencentres of the sphere is 0.3 cm in equilibrium theinclination of the thread with the vertical will be :–

(1) tan–1 (0.1) (2) tan–1 (2)

(3) tan–1 (1.5) (4) tan–1 (0.6)

63. The electric potential in some region is expressed

by V = 6x – 8xy2 – 8y + 6yz – 4z2 volt.

The magnitude of force acting on a charge of 2 Csituated at the origin will be :–(1) 2 N (2) 6 N

(3) 8 N (4) 20 N64. The electric dipole is placed along the x – axis at

the origin O. A point P is at a distance of 20 cm

from this origin such that OP makes an angle 3

,

with the x – axis. If the electric field at P makes anangle θ with the x – axis, the value of θ would be :–

(1) 3

(2)

1 3tan

3 2

(3) 2 3 / (4) 1 3tan

2

65. A small electric dipole is of dipole moment p. Theelectric potential at a distance 'r' from its centreand making an angle θ from the axis of dipole willbe :–

(1) 2

kp sin

r

(2) 2

kp cos

r

(3) 2

3

kp1 3 cos

r (4)

2

3

kp1 3 sin

r

66. A point charge is placed at a distance a

2

perpendicular to the plane and above the centreof a square of side a. The electric flux through thesquare is :–

(1) 0

q

(2) 0

q

(3) 0

q

4 (4) 0

q

6

67. A circle of radius R is drawn in a uniform electric

field E as shown in the fig.

D

A

C

B

VA, V

B, V

C and V

D are

respectively the potential of

point A, B, C and D at the

periphery of the circle then

(1) VA > V

C, V

B = V

D

(2) VA < V

C, V

B = V

D

(3) VA = V

C, V

B < V

D

(4) VA = V

C, V

B > V

D



E56

68. A conducting sphere of radius 10 cm is charged

with 10 μC. another uncharged sphere of radius20 cm is allowed to touch it for some time after two

spheres are separated, then surface density of the

charge on the sphere will be in the ratio of :

(1) 2 : 1 (2) 1 : 1

(3) 3 : 1 (4) 4 : 1

69. Two infinitely long parallel wires having linear charge

densities λ1 and λ

2 respectively are placed at a

distance of R. The force per unit length of an either

wire will be :–

(1) 1 22

k2

R

(2) 1 2k2

R

(3) 1 22

k

R

(4) 1 2

R

70. The electric potential V is given as a function of

distance x (metre) by V = (5x2–10x–9) volt. Value

of eletric field at x = 1 m is :–

(1) 20 V/m (2) 6 V/m

(3) 11V/m (4) zero

71. An electric dipole is placed in an electric field

generated by a point charge –

(1) the net electric force on the dipole must be zero

(2) the net electric force on the dipole may be zero

(3) the torque on the dipole due to the field must

be zero

(4) the torque on the dipole due to the field may be

zero

72. Two identical thin rings, each of radius R meters,

are coaxially placed at a distance R meters apart.

If Q1 coulomb and Q

2 coulomb are respectively the

charges uniformly spread on the two rings, the work

done in moving a charge q from the centre of one

ring to that of other is:–

(1) zero (2) 1 2

0

q(Q Q )( 2 1)

( 2 .4 R)

(3) 1 2

0

q 2 (Q Q )

(4 R)

(4)

1 2

0

q(Q Q )( 2 1)

( 2 .4 R)



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57

TARGET AIIMS E X E R C I S E – I I I

Directions for Assertion & Reason questions

These questions consist of two statements each, printed as Assertion and Reason. While answering these Questions you are required to choose any one of the following four responses.

A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.

B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.

C. If Assertion is True but the Reason is False.

D. If both Assertion & Reason are false.

1. Assertion : Charge is invariant.

Reason : Charge does not depends on speed or

frame of reference.

(1) A (2) B (3) C (4) D

2. Assertion : Mass of ion is slightly differed from its

element.

Reason : Ion is formed, when some electrons are

removed or added so mass changes.

(1) A (2) B (3) C (4) D

3. Assertion : Total number of positive ions in nature

is constant.

Reason : Positive charge is conserved.

(1) A (2) B (3) C (4) D

4. Assertion : If a positive charge is released to move

then it moves from higher potential to lower

potential.

Reason : Force on positive charge is along E,

which is H.P. to L.P.

(1) A (2) B (3) C (4) D

5. Assertion : A point charge Q is rotated on a circle

of radius r in the space around a charge q. The

work done by electrostatic force will be zero.

Reason : For this motion the electrostatic force is

along the radius and direction of motion is

perpendicular.

(1) A (2) B (3) C (4) D

6. Assertion : Charge is quantized

Reason : Charge, which is less than 1 C is not

possible

(1) A (2) B (3) C (4) D

7. Assertion : Electric lines are always straight and

continuous.

Reason : Electric lines represents velocity of

particle.

(1) A (2) B (3) C (4) D

8. Assertion : Electric potential energy of any positive

charge is always positive.

Reason : Potential energy is a vector quantity.

(1) A (2) B (3) C (4) D

9. Assertion : Quantization of charge would be

invalid after free presence of quark particles is

forced.

Reason : Quark particle has charge greater than

electron.

(1) A (2) B (3) C (4) D

10. Assertion : In electrostatic electric lines of force

can never be closed loops.

Reason : The number of electric lines of force

originating or terminating on a charge is

proportional to the magnitude of charge.

(1) A (2) B (3) C (4) D

11. Assetion : If a charge enters in electric field then

it must move in the direction of E

Reason : Force on the charge is always in the

direction of field.

(1) A (2) B (3) C (4) D

12. Assertion :- The coulomb force is the strongest

force in all fundamental forces.

Reason :- The coulomb force is weaker than the

gravitational force.

(1) A (2) B (3) C (4) D



E58

ANSWER KEY EXERCISE - III

ANSWER KEY EXERCISE - II

ANSWER KEY EXERCISE - IQue . 1 2 3 4 5 6 7 8 9 1 0 11 1 2 13 1 4 15

Ans . 2 3 2 2 3 4 2 4 3 3 2 3 1 2 2

Que . 16 1 7 18 1 9 20 2 1 22 2 3 24 2 5 26 2 7 28 2 9 30

Ans . 1 2 3 3 2 2 2 3 3 2 3 1 2 3 1

Que . 31 3 2 33 3 4 35 3 6 37 3 8 39 4 0 41 4 2 43 4 4 45

Ans . 3 2 2 4 1 3 2 1 3 3 2 1 3 2 1

Que . 46 4 7 48 4 9 50 5 1 52 5 3 54 5 5 56 5 7 58 5 9 60

Ans . 3 1 3 1 2 4 4 4 3 4 1 2 3 1 1

Que . 61 6 2 63 6 4 65 6 6 67 6 8 69 7 0 71 7 2 73 7 4 75

Ans . 2 1 1 2 1 4 1 1 2 3 1 1 2 3 3

Que . 76 7 7 78 7 9 80 8 1 82 8 3 84 8 5 86 8 7 88 8 9 90

Ans . 1 2 3 3 2 2 4 1 4 3 3 4 1 4 3

Que . 91 9 2

Ans . 3 4

Que . 1 2 3 4 5 6 7 8 9 1 0 11 1 2 13 1 4 15

Ans . 4 2 2 3 2 1 2 4 2 1 4 3 1 1 1

Que . 16 1 7 18 1 9 20 2 1 22 2 3 24 2 5 26 2 7 28 2 9 30

Ans . 1 1 1 2 3 4 1 1 4 4 4 3 1 1 1

Que . 31 3 2 33 3 4 35 3 6 37 3 8 39 4 0 41 4 2 43 4 4 45

Ans . 2 1 3 3 1 4 3 1 1 1 1 2 4 3 3

Que . 46 4 7 48 4 9 50 5 1 52 5 3 54 5 5 56 5 7 58 5 9 60

Ans . 2 1 2 1 2 4 1 2 2 4 4 2 3 1 2

Que . 61 6 2 63 6 4 65 6 6 67 6 8 69 7 0 71 7 2

Ans . 3 1 4 2 2 4 3 1 2 4 4 2

Que . 1 2 3 4 5 6 7 8 9 1 0 11 1 2

Ans . 1 1 4 1 1 3 4 4 4 2 4 4



E PREVIOUS EXAMS QUESTIONS EXERCISE-I

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