Three charges \( q, q \), and \( -2 q \) are fixed on the vertices of an equilateral triangular plate of edge length \( a \). This plate is in equilibrium between two very large plates having surface charge density \( \sigma_{1} \) and \( \sigma_{2} \), 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 \( l \).(1) \( 2 \pi \sqrt{\frac{\varepsilon_{0} l}{q a\left|\sigma_{1}-\sigma_{2}\right|}} \)(2) \( 2 \pi \sqrt{\frac{\varepsilon_{0} l}{2 q a\left|\sigma_{1}-\sigma_{2}\right|}} \)(3) \( 2 \pi \sqrt{\frac{2 \varepsilon_{0} l}{\sqrt{3} q a\left|\sigma_{1}-\sigma_{2}\right|}} \)(4) \( 2 \pi \sqrt{\frac{2 \varepsilon_{0} l}{q a\left|\sigma_{1}-\sigma_{2}\right|}} \)
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