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
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]
- A
$\frac{1}{\varepsilon_0} \sigma^2 R^2$
- B
$\frac{1}{\varepsilon_0} \sigma^2 R$
- C
$\frac{1}{\varepsilon_0} \frac{\sigma^2}{\mathrm{R}}$
- D
$\frac{1}{\varepsilon_0} \frac{\sigma^2}{\mathrm{R}^2}$
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- [KVPY 2014]
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