Q.

A circular conducting loop of Radius  'ro'  and having resistance per unit length  'λ'  as shown in the figure is placed in a magnetic field  B  which is constant in space and time. The ends of the loop are crossed and pulled in opposite directions with a velocity 'v'  such that the loop always remains circular and the radius of the loop goes on decreasing then
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a

Radius of the loop changes with  r=r0vtπ

b

EMF induced in the loop as a function of time is  2Bv(r0vtπ)

c

Current induced in the loop is  Bv2πλ

d

Current induced in the loop is  Bvπλ

answer is A, B, D.

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Detailed Solution

The length of the loop at any time is  l=2πr02ϑt
   radius of the loop  =r0ϑtπ
εmf  induced  =ddt(Bπr2)=2Bϑ(r0ϑtπ)
   induced current  =emflλ=Bϑπλ

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