A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point p which is at a distance R2 from the centre of the shell is:

1. (q+Q)4πε02R

2. 2Q4πε0R

3. 2Q4πε0R2q4πε0R

4. 2Q4πε0R+q4πε0R

Subtopic:  Electric Potential |
 62%
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A charge of 10 e.s.u. is placed at a distance of 2 cm from a charge of 40 e.s.u. and 4 cm from another charge of 20 e.s.u. The potential energy of the charge 10 e.s.u. is: (in ergs

1. 87.5 2. 112.5
3. 150 4. 250
Subtopic:  Electric Potential Energy |
 58%
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A sphere of 4 cm radius is suspended within a hollow sphere of 6 cm radius. The inner sphere is charged to potential 3 e.s.u. and the outer sphere is earthed. The charge on the inner sphere is 

(1) 54 e.s.u.

(2) 14 e.s.u.

(3) 30 e.s.u.

(4) 36 e.s.u.

Subtopic:  Electric Potential |
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When one electron is taken towards the other electron, then the electric potential energy of the system -

(1) Decreases

(2) Increases

(3) Remains unchanged

(4) Becomes zero

Subtopic:  Electric Potential Energy |
 76%
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Four charges +Q,Q,+Q,Q are placed at the corners of a square taken in order. At the centre of the square 

(1) E=0,V=0

(2) E=0,V0

(3) E0,V=0

(4) E=0,V0

Subtopic:  Electric Potential |
 57%
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Point charge q1 = 2 μC and q2 = –1 μC are kept at points x = 0 and x = 6 respectively. Electrical potential will be zero at points 

(1) x = 2 and x = 9

(2) x = 1 and x = 5

(3) x = 4 and x = 12

(4) x = –2 and x = 2

Subtopic:  Electric Potential |
 71%
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Equipotential surfaces associated with an electric field which is increasing in magnitude along the x-direction are 

(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

Subtopic:  Equipotential Surfaces |
 75%
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A bullet of mass 2 gm is having a charge of 2 μC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s ?

(1) 5 kV

(2) 50 kV

(3) 5 V

(4) 50 V

Subtopic:  Electric Potential Energy |
 84%
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In a certain charge distribution, all points having zero potential can be joined by a circle S. Points inside S have positive potential, and points outside S have a negative potential. A positive charge, which is free to move, is placed inside SWhat is the correct statement about S:

1. It will remain in  equilibrium 2. It can move inside S, but it cannot cross S
3. It must cross S at some time 4. It may move, but will ultimately return to its starting point
Subtopic:  Equipotential Surfaces |
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A square of side ‘a’ has charge Q at its centre and charge ‘q’ at one of the corners. The work required to be done in moving the charge ‘q’ from the corner to the diagonally opposite corner is -

(1) Zero

(2) Qq4π0a

(3) Qq24π0a

(4) Qq2π0a

Subtopic:  Electric Potential |
 72%
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