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Q.

A conducting wire of mass m slides down two smooth conducting bars, set at an angle θ to the horizontal as shown in figure.  The separation between the bars is l. The system is located in the magnetic field B, perpendicular to the Plane of the sliding wire and bars. The constant velocity of the wire is

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a

mg R sinθB2 l2

b

mg R sinθBl3

c

mg R θB2 l5

d

mg R sinθBl4

answer is A.

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Detailed Solution

Component of weight along the inclined plane =mg sinθAgain, F=BIl=BBlvRl=B2l2vRNow, B2l2vR=mg sinθ  or v=mgR sinθB2l2
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