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Electrostatics — NEET UG Physics PYQs

505 previous year questions from Electrostatics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

505 questionsPhysicsSolutions on every page
1

The electric field at a point in a certain region of free space due to a charge Q is 0. The electric potential at that point is

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2

A closed surface encloses n electric dipoles. The net electric flux through the closed surface is ( ₀ = permittivity of free space, q = charge)

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3

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V . The electric field at its centre is

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4

Four infinitely large planar charged sheets are placed parallel to each other as shown in Figure 1. Find the magnitude of electric field at point P.

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5

The electric potential 'V' as a function of distance x (in metre) is V = 4x^2 + 6x - 8 volt. Electric field at x = 2 m is

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6

A uniform electric field is given as E = 4 10^4 , j N/C . The flux of this field through a square of side 10 cm whose plane is parallel to the Y-Z plane is

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7

Assume that the electric field E = 30 x^2 i exists in space. Then the potential difference V_A - V_O , where ' V_O ' is the potential at the origin and ' V_A ' is the potential at

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8

Two point charges +8q and -2q are located at x=0 and x=L respectively. What is the location of a point on the x-axis from the origin, at which the net electric field due to these t

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9

Three point charges q₁ = 1 C , q₂ = -2 C , and q₃ = 3 C are placed at (1, 0, 0) , (0, 2, 0) and (0, 0, 3) respectively. The electric potential at origin is 1 4 ₀ = 9 10^9 SI unit

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10

Three electric charges 2q , 2q , -4q are placed at the corners of equilateral triangle of side 'x' . The magnitude of electric dipole moment of the system is

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11

Three charges Q, +q and +q are placed at the vertices of the right angle triangle (isosceles triangle) as shown. The net electrostatic energy of the configuration is zero, if Q is

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12

Three metallic spherical shells (not concentric) of radii R, 2R and 4R are given charges Q₁ , Q₂ and Q₃ respectively. It is found that the surface charge densities on the outer sur

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13

Three charges each of +4 , C are placed at the corners A, B, C of a square ABCD of side 1 m. The electric field at the centre of the square is

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14

Which of the following statements is NOT TRUE for polar molecule? a. In polar molecule the centre of mass of positive charges coincide with the centre of mass of negative charges.

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15

Two point charges 8q and 2q are located at x=0 and x=L respectively. The location of a point on the X-axis from origin, at which the net electric field is zero, is x . Value of x i

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16

A charge Q is distributed over the two concentric hollow spheres of radii r and R ( R > r ) such the surface densities are equal. The potential at the common centre is K = Q 4 ₀ ,

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17

Assume that an electric field E = 30x^2 , i N/C exists in space. If V₀ is the potential at the origin and V_A is the potential at x = 2 m, then the potential difference V_A - V₀ is

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18

Equipotential surfaces associated with an electric field that is increasing in magnitude along the positive Y-direction are

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19

A charge Q is divided into two parts and placed at a given distance so that the force between them is maximum. The value of each charge is:

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20

Two point charges +3 C and +6 C separated by a distance 'r' , repel each other with a force of 27 N. If each of the above charges is given an additional charge of -5 C, the force e

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21

An electric dipole is placed parallel to the electric field . Let 'W' be the work done in rotating the dipole by 60^ . Now, it is further rotated by 120^ , the total work done is [

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22

The potential at a point x ( m) due to some charges situated on the X - axis is given by V(x) = x^2 + 1.5 x + 2 volt The electric field E at x = 3 m is given by

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23

Four point charges -Q , -q , 2q and 3Q are placed at corners of the square respectively. The relation between Q and q for which the potential at the centre of the square is zero, i

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24

Two charges q₁ and q₂ are separated with distance 'd' and placed in a medium of dielectric constant 'k'. The equivalent distance between charges in air for the same electrostatic f

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25

The electric potential due to a dipole at point P making an angle 120^ with the axis of a dipole is ( ₀ = permitivity of free space, p = electric dipole moment , r = distance of po

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26

The electric potential ' V ' at a radial distance x just outside a non-conducting sphere is R^2 2 ₀ x . The electric intensity ' E ' at a radial distance x is ( is uniform volume c

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27

Three point charges +4e , +2e and +e are kept at each vertex of an equilateral triangle ABC , each of side a . The net electric intensity acting on charge +e is ( 60^ = 1/2 and k i

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28

Consider a thin spherical shell of radius R with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field E(

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29

The positively charged particle is released from the rest in a uniform electric field. The electric potential energy of the charge a. decreases because the charge moves along the e

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30

A particle of mass ' M ' and charge ' q ' initially at rest is accelerated by a uniform electric field ' E ' through a distance ' D ' and is then allowed to approach a fixed static

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31

A point charge Q is placed inside a cavity within a solid isolated conducting sphere. Consider points A, B and C as shown in the figure, where the magnitudes of the electric fields

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32

Consider a fixed uniformly charged insulating sphere with radius R and total charge +Q . A point charge -q ( q Q ) with mass m is released from rest at a distance of 3R from the ce

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33

A unit positive point charge is taken slowly through an infinitesimally thin tube that is inside a charged dielectric sphere of radius R , having uniform positive charge density ,

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34

Which of the following statements are correct ? A. Inside a conductor, the electrostatic field is zero. B. Electric field at the surface of a charged conductor does not depend on i

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35

Two identical charged conducting spheres A and B have their centres separated by a certain distance. Charge on each sphere is q and the force of repulsion between them is F . A thi

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36

An electric dipole with dipole moment 5 10⁻⁶ Cm is aligned with the direction of a uniform electric field of magnitude 4 10^5 ~N / C The dipole is then rotated through an angle of

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37

A metal cube of side 5 cm is charged with 6 C . The surface charge density on the cube is

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38

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A: The potential (V) at any axial point, at 2 m distance (r) from t

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39

A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V ) shown in the figure is: (Take 1 4 ₀ =9 10^9 SI units)

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40

The value of electric potential at a distance of 9 cm from the point charge 4 10⁻⁷ C is [ . Given . 1 4 ₀ =9 10^9 ~N ~m ^2 C ⁻² ] :

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41

A charge Q C is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit)

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42

If a conducting sphere of radius R is charged. Then the electric field at a distance r(r>R) from the centre of the sphere would be, (V= potential on the surface of the sphere )

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43

An electric dipole is placed at an angle of 30 ° with an electric field of intensity 2 × 10 5   N   C - 1 . It experiences a torque equal to 4   N   m

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44

If ∮ S   E → · d S → = 0 over a surface, then:

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45

An electric dipole is placed as shown in the figure. The electric potential (in 10 2   V ) at point P due to the dipole is ( ε 0 =permittivity of free space and 1 4 &#960

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46

According to Gauss law of electrostatics, electric flux through a closed surface depends on

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47

Six charges +q,-q,+q,-q,+q and -q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q₀ to the centre of the hexagon from in

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48

The ratio of coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is 2.4 10³⁹ . The ratio of the proportionality con

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49

The angle between the electric lines of force and the equipotential surface is

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50

Two hollow conducting spheres of radii R 1 and R 2 R 1 ≫ R 2 have equal charges. The potential would be:

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51

Two point charges - q and + q are placed at a distance of L , as shown in the figure. The magnitude of electric field intensity at a distance R R ≫ L varies as

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52

Polar molecules are the molecules:

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53

Two charged spherical conductors of radius R 1 and R 2 are connected by a wire. Then the ratio of surface charge densities of the spheres σ 1 / σ 2 is :

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54

A dipole is placed in an electric field as shown. In which direction will it move?

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55

Twenty seven drops of same size are charged at 220   V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

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56

The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment p → is given by ( r > > separation of two charg

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57

The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1 . 6   Å apart is, m e ≃ 9 × 10 - 31   kg ,

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58

The variation of electrostatic potential with radial distance r from the centre of a positively charged metallic thin shell of radius R is given by the graph

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59

In a certain region of space with volume 0.2   m 3 , the electric potential is found to be 5   V throughout. The magnitude of electric field in this region is:

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60

A short electric dipole has a dipole moment of 16 × 10 – 9   C   m . The electric potential due to the dipole at a point at a distance of 0.6   m from the

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61

A spherical conductor of radius 10 cm has a charge of (3.2 10⁻⁷ C ) distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere? (

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62

Four point charges -Q,-q, 2 q and 2 Q 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

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63

If same charge q is placed inside a sphere and cube having radius 1 m and side 2 m respectively. What will be the ratio of flux passing through them?

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64

Find the correct diagram of electric lines of forces for negative charge.

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65

Van De graff generator is used to

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66

A sphere encloses an electric dipole with charge 3 10⁻⁶ C . What is the total electric flux across the sphere?

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67

Two metal spheres, one of radius R and the other of radius 2 R respectively have the same surface charge density . They are brought in contact and separated. What will be the new s

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68

Two parallel infinite line charges with linear charge densities + λ   C   m - 1 and - λ   C   m - 1 are placed at a distance of 2 R in free space. Wha

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69

Two point charges A and B, having charges + Q and - Q respectively, are placed at certain distance apart and force acting between them is F . If 25 % charge of A is transferred to

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70

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the center

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71

A long solid non-conducting cylinder of radius R is charged such that the volume charge density is proportional to r where r is the distance from axis. The electric field E at a di

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72

Assertion : Charge never flows from a condenser of higher capacity to the condenser of lower capacity. Reason : Flow of charge between two bodies connected by a thin wire is determ

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73

Assertion : Net electric field insider conductor is zero. Reason : Total positive charge equals to total negative charge in a charged conductor.

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74

Assertion : All the charge in a conductor gets distributes on whole of its outer surface. Reason : In a dynamic system, charges try to keep their potential energy minimum.

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75

A charge particle is moving along electric field as shown in figure. What is horizontal displacement of the charge particle when it descends a distance of y meter? Given Q / m=9.6

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76

Assertion : In the absence of an externally applied electric field, the displacement per unit volume of a polar dielectric material is always zero. Reason : In polar dielectrics, e

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77

A uniformly charged non conducting disc with surface charge density 10 nC / m ^2 having radius 3 ~cm . Then find the magnitude of electric field at a point on the perpendicular bis

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78

The force of attraction between two charges 8 C and -4 C is 0.2 N . Find the distance of separation

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79

If point charges Q ₁=2 10⁻⁷ C and Q ₂=3 10⁻⁷ C are at 30 cm separation, then find electrostatic force between them

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80

An electron falls from rest through a vertical distance h in a uniform and vertically upward directed electric field E . The direction of electric filed is now reversed, keeping it

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81

An early model for an atom considered it to have a positively charged point nucleus of charge Z e , surrounded by a uniform density of negative charge upto a radius R . The atom as

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82

In a certain region of space, electric field is along the z -direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positi

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83

Assertion : If a dielectric is placed in external field then field inside dielectric will be less than applied field. Reason : Electric field will induce dipole moment opposite to

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84

A large solid sphere with uniformly distributed positive charge has a smooth narrow tunnel through its centre. A small particle with negative charge, initially at rest far from the

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85

Assertion : Acceleration of charged particle in non-uniform electric field does not depend on velocity of charged particle. Reason : Charge is an invariant quantity. That is amount

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86

A non-conducting ring of radius 0.5 m carries a total charge of 1.11 10⁻¹⁰ C distributed non-uniformly on its circumference producing on its circumference on electric field E , eve

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87

Two identical conducting balls A and B have positive charges q₁ and q₂ respectively. But q₁ q₂ . The balls are brought together so that they touch each other and then kept in their

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88

A positively charged ball hangs from a silk thread. We put a positive test charge q₀ at a point and measure F / q₀ , then it can be predicted that the electric field strength E

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89

A charged particle ' q ' is shot with speed v towards another fixed charged particle Q . It approaches Q upto a closest distance r and then returns. If q were given a speed 2 v , t

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90

A certain charge Q is divided into two parts q and Q-q . How the charge Q and q must be related so that when q and (Q-q) is placed at a certain distance apart experience maximum el

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91

The diagrams below show regions of equipotential. A positive charge is moved from A to B in each diagram.

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92

Suppose the charge of a proton and an electron differ slightly. One of them is e , the other is e + Δ e . If the net electrostatic force and gravitational force between two hy

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93

Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge, (if k=1 / 4 ₀ ) is

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94

Two charged spheres separated by a distance ' d ' exert some force on each other. If they are immersed in a liquid of dielectric constant 2 , then what is the force exerted, if all

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95

Assertion: Lines of force are perpendicular to conductor surface. Reason : Generally electric field is perpendicular to equipotential surface.

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96

The charges on two spheres are +7 C and -5 C respectively. They experience a force F . If each of them is given an additional charge of -2 C , then the new force of attraction will

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97

The concentric, conducting spherical shells X, Y and Z with radii r, 2 r and 3 r , respectively. X and Z are connected by a conducting wire and Y is uniformly charged to charge Q a

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98

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

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99

An electric dipole is placed at an angle of 30 ° with an electric field intensity 2 × 10 5 N C - 1 . It experiences a torque equal to 4 N m . The charge on the dipole, if the dipol

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100

Two identical charged spheres suspended from a common point by two massless strings of lengths l , are initially at a distance d ( d ≪ l ) apart because of their mutual repul

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101

A hemisphere is positively charged uniformly. The electric field at a point on a diameter away from the centre is directed

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102

A hexagon of side 8 ~cm has a charge 4 C at each of its vertices. The potential at the centre of the hexagon is

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103

A metallic solid sphere is placed in a uniform electric field. Which path, the lines of force follow as shown in figure?

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104

Three equal charges, each having a magnitude of 2.0 10⁻⁶ C , are placed at the three corners of a right angled triangle of sides 3 ~cm , 4 ~cm and 5 cm . The force (in magnitude) o

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105

Two charges of +10 C and +20 C are separated by a distance 2 cm . The net potential (electric) due to the pair at the middle point of the line joining the two changes, is

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106

Two small balls, each carrying a charge q are suspended by equal insulator strings of length 1 m from the hook of a stand. This arrangement is carried in a satellite in space. The

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107

The electric field in a certain region is acting radially outward and is given by E = A r . A charge contained in a sphere of radius a centred at the origin of the field will be gi

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108

If potential(in volts ) in a region is expressed as V x , y , z = 6 x y - y + 2 y z , the electric field(in N   C - 1 ) at point 1 , 1 , 0 is

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109

Assertion : A charged particle free to move in an electric field always moves along an electric field line. Reason: The electric field lines diverge from a negative charge and conv

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110

Assertion: If an electron and proton possessing same kinetic energy enter an electric field in a perpendicular direction, the path of the electron is more curved than that of the p

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111

In a uniform electric field a charge of 3 C experiences a force of 3000 ~N . The potential difference between two points 1 ~cm apart along the electric line of force will be

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112

A charged particle is accelerated by a potential of 200 V . If its velocity is 8.4 10^8 ~m / s , then value of e / m for that particle is

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113

If V= axy, then electric field at a point will be proportional t0

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114

Electric field at point 20 cm away from the centre of dielectric sphere is 100 ~V / m , radius of sphere is 10 cm , then the value of electric field at a distance 3 cm from the cen

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115

If the electric flux entering and leaving an enclosed surface respectively are , and ₂ , the electric charge inside the surface will be

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116

Three points charges +q,-2 q 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 mome

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117

A conducting sphere of radius R is given a charge Q . The electric potential and the electric field at the center of the sphere respectively are:

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118

In a region the potential is represented by V x ,   y ,   z = 6 x - 8 x y - 8 y + 6 y z , where V is in volts and x ,   y ,   z , are in meters. The electric fo

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119

A dipole of dipole moment ' p ' is placed in non-uniform electric field along x -axis. Electric field is increasing at the rate of 1 ~V ~m ⁻¹ then the force on dipole is

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120

Assertion : If a conductor is given charge then no excess inner charge appears. Reason : Electric field inside conductor is zero.

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