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Q.

Two thin conducting shells of radii R and 3R are 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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a

$\frac{Q}{4}$

b

$\frac{Q}{3}$

c

$- \frac{Q}{4}$

d

$- \frac{Q}{3}$

answer is B.

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Detailed Solution

Question Image

$V_{i n n e r} = 0$

$\frac{K q}{R} + \frac{K Q}{3 R} = 0$

$q = - \frac{Q}{3}$

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