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Q.

In the shown figure, two parallel rails in a vertical plane of negligible resistance are connected by a resistance  R=1Ω at one end. A uniform horizontal magnetic field is present  (B=0.5T). A thin ring of mass  m1=1kg, radius  r=25cm is fitted over a wooden disc of mass  m1=1kg. Resistance of ring  R'=4Ω and there is no friction between the ring and the disc, ring and upper rail. Friction between ring and lower rail is sufficient to support pure rolling of  the ring. Horizontal force  F=2N  is applied at centre of the disc. When the terminal  velocity is reached 

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a

Terminal velocity of disc is 64 m/s

b

Terminal velocity of disc is 96 m/s 

c

Current flowing in the rails is 82A

d

Current flowing in the rails is 8A

answer is A, D.

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Detailed Solution

Power given = power loss
FVτ=I2(1+44) ……(i)
I=BVτ(2r)(1+44) ……(ii)
By solving  Vτ=64m/s
And I = 8A

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