$(A)\;\frac{Q^2}{4 \pi \in _0 R^2}\\ (B)\;\frac{Q^2}{4 \pi \in _0 R^2}\times 2 \\ (C)\; \frac{Q^2}{16 \pi \in _0 R^2} \\ (D)\;\frac{Q^2}{32 \pi \in _0 R^2}$

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$E= \large\frac{\sigma}{2 \in _0}$

$F= Edr=\large\frac{\sigma}{2 \in _0}$$(\sigma dA)$

=> $\large\frac{F}{dA} =\frac{\sigma^2}{\in_0}$$=P$

Force $= P \times \pi R^2$

$\qquad= \large\frac{\sigma^2}{2 \in _0} \pi R^2$

$\qquad= \large\frac{Q^2}{16 \pi^2 R^2} \frac{\pi R^2}{2 \in _0}$

=> $ \large\frac{Q^2}{32 \pi \in _0 R^2}$

Hence D is the correct answer.

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