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

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Question

A uniformly charged thin spherical shell of radius R carries uniform surface charge density of $σ$ per unit area. It is made of two hemispherical shells, held together by pressing them with force F (See figure). F is proportional to

$\frac{1}{ε_{0}} \frac{σ^{2}}{R}$

$\frac{1}{ε_{0}} σ^{2} R^{2}$

$\frac{1}{ε_{0}} \frac{σ^{2}}{R^{2}}$

$\frac{1}{ε_{0}} σ^{2} R$

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$p = \frac{σ^{2}}{2 \in_{0}} \Rightarrow F = \frac{σ^{2}}{2 \in_{0}} \times {πR}^{2}$