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Questions  

A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of

a
mgRBl
b
mgRB2l2
c
mgRB3l3
d
mgRB2l

detailed solution

Correct option is B

Due to magnetic field, wire will experience an upward force F=Bil=BBvlRl⇒F=B2vl2R If wire slides down with constant velocity, thenF=mg⇒B2vl2R=mg⇒v=mgRB2l2

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