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Question

Two conducting rings P and Q of radii r and 2r rotate uniformly in opposite directions with centre of mass velocities 2v and v respectively on a conducting surface S. There is a uniform magnetic field of magnitude B perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is

A
zero
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B
4 Bvr
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C
8 Bvr
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D
16 Bvr
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Solution

The correct option is C 8 Bvr
The circuit can be redrawn as two rods in linear motion
Vp+4Bvr=VA
VQ4Bvr=VB
VAVB=8Bvr

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