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Question

Question: A metallic spherical shell has an inner radius \(R_{1}\)and outer radius \(R_{2}.\) A charge is plac...

A metallic spherical shell has an inner radius R1R_{1}and outer radius R2.R_{2}. A charge is placed at the centre of the spherical cavity. The surface charge density on the outer surface is

A

q4πR12\frac{- q}{4\pi R_{1}^{2}}

B

q4πR22\frac{q}{4\pi R_{2}^{2}}

C

q24πR12\frac{q^{2}}{4\pi R_{1}^{2}}

D

2q4πR22\frac{2q}{4\pi R_{2}^{2}}

Answer

q4πR22\frac{q}{4\pi R_{2}^{2}}

Explanation

Solution

: Surface charge density on the outer surface

=+q4πR22= \frac{+ q}{4\pi R_{2}^{2}} (Using (ii)