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Q.

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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a

-4 Q

b

zero

c

-10 Q

d

none of these

answer is A.

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Detailed Solution

Potential of sphere should be zero.  

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V=kqR−kq2R+k(10Q+q)3R=0

or q=−4Q

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