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A conducting sphere of radius R and a concentric thick spherical shell of inner radius 2R and outer radius 3R is shown in figure. A charge +10Q is given to the shell and inner sphere is earthed. Then charge on inner sphere is

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-4 Q

-10 Q

zero

none of these

answer is A.

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Detailed Solution

Potential of sphere should be zero.

$V = \frac{k q}{R} - \frac{k q}{2 R} + \frac{k (10 Q + q)}{3 R} = 0$

or $q = - 4 Q$

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