Q.

Figure shows two conducting thin concentric shells of radii r and 3r. The outer shell carries charge q and the inner shell is neutral. The amount of charge that flows fromthe inner shell to the earth after the key K is closed is equal to (1/n)th of the charge on the outer shell. What is the value of n?

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answer is 3.

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Detailed Solution

Let charge appearing on inner sphere be x.  Now potential of inner sphere is zero, i.e., kq3r+kxr=0         or   x=−q/3Now charge that flows from the inner shell to the earth shall be −x=q/3
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Figure shows two conducting thin concentric shells of radii r and 3r. The outer shell carries charge q and the inner shell is neutral. The amount of charge that flows fromthe inner shell to the earth after the key K is closed is equal to (1/n)th of the charge on the outer shell. What is the value of n?