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Q.

A wire of mass m& length l can slide freely on a pair of parallel smooth horizontal rails. A magnetic field B exist in the region in the direction perpendicular to the plane of the rails. The rails are connected at left end by a capacitor of capacity C. At t = 0, wire is given a velocity v0 towards right side. Then:

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a

Wire stops finally

b

Wire will oscillate

c

Wire will move with constant velocity after sufficient time.

d

Final K.E. of the rod must be equal to the energy stored in the capacitor.

answer is C.

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Detailed Solution

rod will move with a constant velocity when the force on conductor will be equal to zero. That is when capacitor begins to act as an open circuit 

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