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Q.

A uniform horizontal magnetic field B exists in the region A B C D. A rectangular loop of mass m and horizontal side / and resistance R is placed in the magnetic field as shown in fig.(4). With whatvelocity should it be pushed down so that it continues to fall without acceleration ?

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a

mgRB2l2

b

B2l2mgR

c

mgBlR

d

RBlmg

answer is A.

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Detailed Solution

According to Lenz's law, the magnetic force is given byF=B2l2VRAccording to given problem F should be equal to m g. Hence mg=B2l2VR or v=mgRB2l2
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