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Question

A metallic rod of 1 m length is rotated with a frequency of 50 revolution per second, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m about an axis passing through the centre and perpendicular to the plane of the ring. A constant uniform magnetic field of 1 T parallel to the axis is present everywhere. The emf between the centre and the metallic ring is:

A
157 V
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B
117 V
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C
127 V
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D
137 V
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Solution

The correct option is C 157 V
Formula for E is
E=12Bωl2=12×2π×50×1×1×2=50π=157V

1380562_942485_ans_59397e50adc34d09ab550405b27e0d5b.png

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