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MHT CET 2026 (19 Apr, Shift 2) · Electrostatic Potential Energy

Electrostatic Potential Energy question from MHT CET 2026 (19 Apr, Shift 2)

Q20MHT CET 2026 · 19 APR · SHIFT 2Difficult

Electrostatic Potential Energy

An uniformly charged thin spherical shell of radius 'R' has uniform surface charge density ' $\sigma$ '. It is made of two hemispherical identical shells held together by pressing them with force 'F' as shown. F is proportional to

[ $\epsilon_0$ = permittivity of free space]

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Answer: (c)

Outward electrostatic pressure on the shell: $P = \frac{\sigma^2}{2\epsilon_0}$ .
Net push on one hemisphere = pressure $\times$ projected area $\pi R^2$ .
$F = \frac{\sigma^2}{2\epsilon_0}\pi R^2 \propto \frac{1}{\epsilon_0}\sigma^2R^2$
So the answer is (c).

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