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Q.

A metallic spherical shell has inner radius R1 and outer radius R2. A charge Q is placed at the centre of the shell. The surface charge density on the inner surface, and outer surface of shell are respectively

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a

Q4πR12  and Q4πR22

b

Q4πR12 and Q4πR22

c

Q4πR22 and Q4πR12

d

Q4πR12 and Q4πR22

answer is A.

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Detailed Solution

The induced charge on the inner surface is -Q and outer surface is +Q, hence the surface charge density on the inner surface, and outer surface of shell are respectively Q4πR12 and Q4πR22

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