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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Figure shows three points A, B and C in a region of uniform electric field E. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good. Where VA,VB and VC represent the electric potential at points A, B and C respectively

(1) VA=VB=VC

(2) VA=VB>VC

(3) VA=VB<VC

(4) VA>VB=VC

 78%
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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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