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Q.

Radius of a circular ring is changing with time and the coil is placed in uniform magnetic field perpendicular to its Plane. The variation of 'r' with time 't' is shown in figure. 

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Then induced emf e with time t  will be best represented by

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a

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b

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c

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d

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answer is D.

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Detailed Solution

In first and third part,radius remains same, so there is no change
in flux, hence no emf is induced. For second part:

e=BdAdt=Bdπr2dt=B2πrdrdt

dr/dt is constant, but r increases linearly, hence induced emf also increases linearly.

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Radius of a circular ring is changing with time and the coil is placed in uniform magnetic field perpendicular to its Plane. The variation of 'r' with time 't' is shown in figure. Then induced emf e with time t  will be best represented by