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Consider the ...

Question

Consider the situation depicted in the adjacent figure. The work done in taking a point charge from $P$ to $A$ is $W_{A}$ , from $P$ to $B$ is $W_{B}$ and from $P$ to $C$ is $W_{C}$ . Therefore,

A

W_{A} < W_{B} < W_{C}

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B

W_{A} > W_{B} > W_{C}

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C

W_{A} = W_{B} = W_{C}

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D

W_{A} > W_{B} < W_{C}

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Solution

The correct option is C $W_{A} = W_{B} = W_{C}$
The potential at the surface of the sphere is same i.e. $\frac{R Q}{R}$ . It behaves as an equipotential surface. Hence, work done along all path is same i.e. $W_{A} = W_{B} = W_{C}$ .

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