The electric potential V at any point O (x, y, z all in metres) in space is given by V=4x2volt. The electric field at the point (1m,0,2m) in volt/metre is -

(1) 8 along negative x-axis

(2) 8 along positive x-axis

(3) 16 along negative x-axis

(4) 16 along positive z-axis

Subtopic:  Relation between Field & Potential |
 73%
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A hollow metal sphere of radius 5 cm is charged so that the potential on its surface is 10 V. The potential at the centre of the sphere is -

(1) 0 V

(2) 10 V

(3) Same as at point 5 cm away from the surface

(4) Same as at point 25 cm away from the surface

Subtopic:  Electric Potential |
 76%
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If a unit positive charge is taken from one point to another over an equipotential surface, then -

(1) Work is done on the charge

(2) Work is done by the charge

(3) Work done is constant

(4) No work is done

Subtopic:  Equipotential Surfaces |
 79%
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In the electric field of a point charge q, a certain charge is carried from point A to B, C, D and E. Then the work done

(1) Is least along the path AB

(2) Is least along the path AD

(3) Is zero along all the paths AB, AC, AD and AE

(4) Is least along AE

Subtopic:  Equipotential Surfaces |
 91%
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A conductor with a positive charge:

1. is always at +ve potential.
2. is always at zero potential.
3. is always at negative potential.
4. may be at +ve, zero or –ve potential.

Subtopic:  Electric Potential |
 64%
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On rotating a point charge having a charge \(q\) around a charge \(Q\) in a circle of radius \(r,\) the work done will be:

1. \(q \times2 \pi r\) 2. \(q \times2 \pi Q \over r\)
3. zero 4. \(Q \over 2\varepsilon_0r\)
Subtopic:  Equipotential Surfaces |
 89%
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Two charge +q and –q are situated at a certain distance. At the point exactly midway between them -

(1) Electric field and potential both are zero

(2) Electric field is zero but the potential is not zero

(3) Electric field is not zero but the potential is zero

(4) Neither electric field nor potential is zero

Subtopic:  Electric Potential |
 66%
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In the figure the charge \(Q\) is at the centre of the circle. Work done by the conservative force is maximum when another charge is taken from point \(P\) to:

       

1. \(K\) 2. \(L\)
3. \(M\) 4. \(N\)
Subtopic:  Electric Potential |
 70%
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Two insulated charged conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 C are connected by a copper wire and then they are separated. Then -

(1) Both the spheres will have the same charge of 10 C

(2) Surface charge density on the 20 cm sphere will be greater than that on the 15 cm sphere

(3) Surface charge density on the 15 cm sphere will be greater than that on the 20 cm sphere

(4) Surface charge density on the two spheres will be equal

Subtopic:  Electric Potential |
 63%
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Two equal charges q are placed at a distance of 2a and a third charge –2q is placed at the midpoint. The potential energy of the system is -

(1) q28πε0a

(2) 6q28πε0a

(3) 7q28πε0a

(4) 9q28πε0a

Subtopic:  Electric Potential Energy |
 69%
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