Three charges ,

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

Three charges qq, qq, and −2q-2q are fixed on the vertices of an equilateral triangular plate of edge length aa. This plate is in equilibrium between two very large plates having surface charge density σ1\sigma_1 and σ2\sigma_2, respectively. Find the time period of small angular oscillation about an axis passing through its centroid and perpendicular to the plane. Moment of inertia of the system about this axis is II. (1) 2πϵ0Iqa∣σ1−σ2∣2\pi \sqrt{\frac{\epsilon_0 I}{q a |\sigma_1 - \sigma_2|}} (2) 2πϵ0I2qa∣σ1−σ2∣2\pi \sqrt{\frac{\epsilon_0 I}{2 q a |\sigma_1 - \sigma_2|}} (3) 2π2ϵ0I3qa∣σ1−σ2∣2\pi \sqrt{\frac{2\epsilon_0 I}{\sqrt{3} q a |\sigma_1 - \sigma_2|}} (4) 2π2ϵ0Iqa∣σ1−σ2∣2\pi \sqrt{\frac{2\epsilon_0 I}{q a |\sigma_1 - \sigma_2|}}

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