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A sphere of 4cm   radius is suspended  in a hollow sphere of 6cm radius. The inner sphere is charged to potential 3 e.s.u. and the outer  sphere is earthed. The charge on the inner sphere is

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a

54 e.s.u.

b

14e.s.u.

c

30 e.s.u.

d

36 e.s.u.

answer is D.

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Detailed Solution

Suppose charge on inner sphere is +Q  as shown.Potential on inner sphereV=V1+V2=kQ1r1+kQ2r2=1Q4+1-Q6 ∵k =1, Q1=Q, Q2=-Q ⇒3=Q14−16 ⇒Q=36 e.s.u.
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A sphere of 4cm   radius is suspended  in a hollow sphere of 6cm radius. The inner sphere is charged to potential 3 e.s.u. and the outer  sphere is earthed. The charge on the inner sphere is