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A wheel with ten metallic spokes each 0.50 m long is rotated with a speed of 120 rev/min in a plane normal to the earth’s magnetic field at the place. If the magnitude of the field is 0.4 Gauss, the induced e.m.f. between the axle and the rim of the wheel is equal to

a
1.256×10−3 ​V
b
6.28×10−4 V
c
1.256×10−4 ​V
d
6.28×10−5V

detailed solution

Correct option is D

e=Bl2πν=0.4×10−4×(0.5)2×(3.14)×12060   =6.28×10−5V

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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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