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JEE PHYSICS MCQ: ELECTRIC FIELDS AND CHARGES

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A soap bubble of radius RR has uniformly distributed charge QQ on it's surface. It's energy is the self-energy of charges & surface energy due to surface tension. In equilibrium, this energy is minimum. Surface tension is S\mathrm{S}. At equilibrium radius of bubble is R & pressure inside is P\mathrm{P}. Pressure outside is P0\mathrm{P}_0. Then
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Correct option: A
R=(Q2128π2∈0S)1/3R=\left(\frac{Q^2}{128 \pi^2 \in_0 S}\right)^{1 / 3}
Option A (R=(Q2128π2∈0S)1/3R=\left(\frac{{Q^2}}{{128 \pi^2 \in_0 S}}\right)^{1 / 3}) is correct because it represents the equilibrium radius derived from minimizing the total energy of the bubble.

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