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Q.

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is v and the
potential difference developed across the ring is

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a

zero

b

BvπR2l2 and M is at higher potential

c

πRBv and Q is at higher potential

d

2RBv and Q is at higher potential

answer is D.

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Detailed Solution

Rate of decrease of area of the semicircular ring dAdt=(2R)v

According to Faraday's law of induction induced emf e=dφdt=BdAdt=B(2Rv)

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The induced current in the ring must generate magnetic field in the upward direction. Thus Q is at higher potential

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