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Q.

A rectangular coil of 300 turns has an average area of average area of 25 cm×10 cm. The coil rotates with a speed of 50 cps in a uniform magnetic field of strength 4×10-2T about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)

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a

3000π

b

300π

c

30π

d

answer is C.

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Detailed Solution

Peak value of emf =e0=ωNBA=2πvNBA =2π×50×300×4×10-2×25×10-2×10×10-2=30π volt.
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A rectangular coil of 300 turns has an average area of average area of 25 cm×10 cm. The coil rotates with a speed of 50 cps in a uniform magnetic field of strength 4×10-2T about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)