Q.

A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B, as shown in the figure. The potential difference developed across the ring when its speed ν, is

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a

zero

b

Bvπr22 and P is at higher potential

c

πrBν and R is a higher potential

d

2rBv and R is at higher potential

answer is D.

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Detailed Solution

Motional emf induced in the semicircular ring PQR is equivalent to the motional emf induced in the imaginary conductor PR.  i.e., εPQR=εPR=Bvl=Bv(2r)                                   (l= PR = 2r)Therefore, potential difference developed across the ring is 2rBv with R is at highe rpotential.
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