four charges on the vertices of square | tough problems for jee advanced |JEE advanced

Four point charges + 3q, -4q, -3q and + 4q are kept of the vertices A, B, C and D of a massless insulating square frame of length squareroot of 2 unit. Mass of each point charge is m. The whole system is in equilibrium in a uniform electric field E. PQ is line which passes through the centre of mass, lie in the plane of charges and perpendicular to E. AC and BD are diagonals of the square. (gravity is absent)
1. From equilibrium position the system is slightly displaced by 0 about line BD and released. The system starts oscillating simple harmonically. The time period of oscillation will be
2. From equilibrium position the system is slightly displaced by 0 about line PQ and released. The system starts oscillating simple harmonically. The time period of oscillation will be

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four charges on the vertices of square | tough problems for jee advanced |JEE advanced

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