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Two thin conducting shells of radii R an...

Two thin conducting shells of radii `R` and ` 3R` as shown in figure . The outer shell carries a charge ` +Q` and the inner shell is neutral. The inner shell is earthed with the help of switch `S` . Find the charge attained by the inner shell.
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The correct Answer is:
`(-Q)/3`
After earthing `V_("inner shell")=0, (Kq)/R+(KQ)/(3R)=0`
`q=(-Q)/3` (charge on inner shell)
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