A point charge Q is placed at a distance d from the centre of an uncharged conducting sphere of radius R. The potential of the sphere is: (d > R): (Assume potential at infinity to be zero)

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$\frac{1}{4 {πϵ}_{0}} \cdot \frac{Q}{d}$

$\frac{1}{4 {πϵ}_{0}} \cdot \frac{Q}{(d - R)}$

$\frac{1}{4 {πϵ}_{0}} \cdot \frac{Q}{R}$

Zero

answer is B.

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Detailed Solution

Net potential of the sphere due to the induced charge is zero. Therefore, electric potential is due to the point charge only and it is equal to potential at the centre of the sphere.

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