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