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Two large insulating plates having surface charge densities and are fixed at a distance from each other. A small test charge of mass is attached to two identical springs as shown in the figure. The charge is now released from rest with springs in natural length. Then will (neglect gravity)

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The correct answer is:
perform SHM with amplitude
Electric field between plates is uniform hence electrostatic force due to this field is constant. Angular frequency does not change by constant force equilibrium position will be at the point where
is also the amplitude of oscillation
is also the amplitude of oscillation
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