A uniformly charged thin spherical shell of radius $\mathrm{R}$ carries uniform surface charge density of $\sigma$ per unit area. It is made of two hemispherical shells, held together by pressing them with force $\mathrm{F}$ (see figure). $\mathrm{F}$ is proportional to
IIT 2010, Advanced
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Pressure $=\frac{\sigma^2}{2 \varepsilon_0}$ and force $=\frac{\sigma^2}{2 \varepsilon_0} \times \pi \mathrm{R}^2$
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