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Q.

Consider two concentric spherical metal shells of radii r1and r2(r2 > r1). If the outer shell has a charge q and the inner one is grounded, the charge on the inner shell is :

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a

−r2r1q

b

zero

c

−r1r2q

d

-q

answer is C.

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Detailed Solution

Let the charge on the inner shell be q'.The total potential will be zero.So, kq'r1+kqr2=0 (∵r2>r1) ⇒ q'=-Kq/r2K/r1⇒q'=-r1r2q

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Consider two concentric spherical metal shells of radii r1and r2(r2 > r1). If the outer shell has a charge q and the inner one is grounded, the charge on the inner shell is :