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Question

Question: A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radia...

A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth's magnetic field is 0.2×104T0.2 \times 10^{- 4}T, then the e.m.f. developed between the two ends of the conductor is

A

5mV5mV

B

50μV50\mu V

C

5μV5\mu V

D

50mV50mV

Answer

50μV50\mu V

Explanation

Solution

Induced emf e=12BHl2ωe = \frac{1}{2}B_{H}l^{2}\omega

=12×0.2×104×(1)2×5=5×105V=50μV= \frac{1}{2} \times 0.2 \times 10^{- 4} \times (1)^{2} \times 5 = 5 \times 10^{- 5}V = 50\mu V