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A thick metallic spherical shell of inner radius $r_{1}$ and outer radius $r_{2}$ has a charge $+ Q .$ A charge +q is placed at the centre of the shell. The charge per unit area on the outer surface is

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$\frac{(Q - q)}{4 π (r_{2}^{2} - r_{1}^{2})}$

$\frac{(Q - q)}{4 π r_{2}^{2}}$

$\frac{(Q + q)}{4 π r_{2}^{2}}$

$\frac{(Q + q)}{4 π (r_{2}^{2} + r_{1}^{2})}$

answer is C.

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Charge per unit area on outer surface $= \frac{Q + q}{4 π r_{2}^{2}}$

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