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Q.

In a region there exist a magnetic field B0 along positive x-axis. A metallic wire of length 2a and one side along x-axis and one side parallel of y-axis is rotating about y-axis with a angular velocity w. Then at the instant shown.

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a

Potential difference across  QR  is  12B0ωa2

b

Potential difference across  QR  is  B0ωa2

c

Potential difference across  PQ  is  O

d

Potential difference across  PQ  is 12B0ωa2

answer is A, D.

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Detailed Solution

In the diagram, PQ rod does n’t cut the magnetic field. So there is no current passing through PQ, So potential difference across PQ is zero.

D) the potential difference across QR is

emf=B0(aω)(a)=B0ωa2

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