Four equal charges, q, are fixed at the corners of a square of side a in the xy-planecentered on the origin. A bead of mass m and charge -q is positioned at the origin.A thin, frictionless string along the z-axis threads the bead, thus restricting its mo-tion to the z-axis. The bead is then displaced from the origin by a small amountZo < 0 and released from rest. Show that the bead undergoes simple harmonicmotion (to a very good approximation), and derive an expression for its period ofoscillation in terms of known parameters.

I have used concept of lapance equation

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