A hollow conducting sphere is placed in an electric field produced by a point charge placed at $P$ as shown in figure. Let $V_{A}$ , $V_{B}$ , and $V_{C}$ be the potentials at points $A$ , $B$ and $C$ on the sphere respectively. Then :

V_{C} > V_{B}

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V_{B} > V_{C}

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V_{A} = V_{B} = V_{C}

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V_{A} < V_{C}

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Solution

The correct option is C
$V_{A} = V_{B} = V_{C}$

$∙$ As a property of conductor, In static situation, potential at all the points of the conductor is same i.e. whole conductor is equipotential.

$∙$ Since the sphere is a conductor, and all three points A, B and C lie on the its surface, which is equipotential.

$∙$ Therefore, $V_{A} = V_{B} = V_{C}$

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