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The radius of a coil decreases steadily at the rate of 10-2 m/s. A constant and uniform magnetic field of induction 10-3 Wb/m2 acts perpendicular to the plane of the coil. The radius of the coil when the induced emf in the coil is 1μV is :

a
2πcm
b
3πcm
c
4πcm
d
5πcm

detailed solution

Correct option is D

e=dϕdt=ddtπr2B=2πrBdrdt⇒r=e2πBdrdt ⇒r=10-62π x 10-3 x 10-2=5πcm

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