JEE Advanced 2024 Paper 2 Physics Q5

Physics · Electric Charges & Fields · Rotation

Problem

A small electric dipole p⃗0\vec{p}_{0}, having a moment of inertia I about its center, is kept at a distance r from the center of a spherical shell of radius R. The surface charge density σ is uniformly distributed on the spherical shell. The dipole is initially oriented at a small angle θ as shown in the figure. While staying at a distance r, the dipole is free to rotate about its center. If released from rest, then which of the following statement(s) is(are) correct? [ε₀ is the permittivity of free space.]

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