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Question

Out of the given statements which of the following are true :

A) Work done in moving a charge on equipotential surface is zero.

B) Electric lines of force are always normal to equipotential surface.

C) When two like charges are brought closer, the electrostatic potential energy of the system is decreased.

D) Electric lines of force converge at positive charge and diverge at negative charge.


A
A, B, C, D are true
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B
A, B, C are true
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C
A, B are true
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D
A only true
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Solution

The correct option is C A, B are true
A) Work done by electric field = q × Potential difference
For an equipotential surface, change in potential is zero. Thus, work done is zero.
B) Electric lines of force are always normal to an equipotential surface because if the field has any tangential component then it would cause motion of the charges present on the surface contradicting its equipotential property.
C) Bringing two like charges of the system increases the potential energy of the system (because like charges always repel).
D) Electric lines of force start at positive charges and end at negative charges.

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