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# Electric potential at a point P , due to a point charge q at A at distance r from P is V . Then if double of this charge is uniformly distributed on a hollow sphere of radius 2r centered at A then potential at P due to sphere is

$(a)\;V \qquad(b)\;\large\frac{V}{2}\qquad(c)\;\large\frac{3 V}{2}\qquad(d)\;None$

Explanation : $\; \large\frac{k\;q}{r} = V$
Potential inside a hollow sphere of radius $\;2r = \large\frac{2\;k\;q}{2r} = \large\frac{k\;q}{r} = V$