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A uniformly charged thin spherical shell of radius \( R \) carries uniform surface charge density of \( \sigma \) per unit area. It is made of two hemispherical shells, held together by pressing them with force \( F \) (See figure). F is proportional to
\( \mathrm{P} \)
W
(A) \( \frac{1}{\varepsilon_{0}} \sigma^{2} R^{2} \)
(B) \( \frac{1}{\varepsilon_{0}} \sigma^{2} R \)
(C) \( \frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R} \)
(D) \( \frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R^{2}} \)
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