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Q.

A metallic spherical shell has an inner radius R1 and outer radius R2 . A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface

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a

−Q4πR12 and Q4πR22

b

Q4πR22 and −Q4πR12

c

Q4πR12 and Q4πR22

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 correct answer is −Q4πR12 andQ4πR22 .
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A metallic spherical shell has an inner radius R1 and outer radius R2 . A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface