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A metal rod of length 2 m is rotating with an angular velocity of 100 rad/sec in a plane perpendicular to a uniform magnetic field of 0.3 T. The potential difference between the ends of the rod is

a
30 V
b
40 V
c
60 V
d
600 V

detailed solution

Correct option is C

e=12Bl2ω=12×0.3×(2)2×100=60V

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The diagram shows a circuit having a coil of resistance R=2.5Ω and inductance L connected to a conducting rod PQ which can slide on a perfectly conducting circular ring of radius 10 cm with its centre at 'P'. Assume that friction and gravity are absent and a constant uniform magnetic field of 5 T exists as shown in figure.

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