A conducting rod of mass m and length l is suspended horizontally with the help of two  identical non- conducting springs each of stiffness k in presence of uniform horizontal  magnetic field of induction B. The ends of the rod are connected in a circuit consisting of an ideal battery of electromotive force E , a capacitance C and a switch as shown in  the figure. Intially the switch was at position 1 for a long time and the switch is thrown to  position 2 at $t=0$  . ( neglect resisatance and inductance in the circuit and Consider the  wires  connecting the rod extremely flexible and denote acceleration due to gravity by g.)

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