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A wheel with ten metallic spokes each 0....

A wheel with ten metallic spokes each `0.50 m` long is rotated with a speed of `120 rev//min` in a plane normal to the earth's magnetic field at the place. If the magnitude of the field is `0.4` gauss, the induced e.m.f. between the axle and the rim of the wheel is equal to

A

`1.256xx10^(-3)V`

B

`6.28xx10^(-4)V`

C

`1.256xx10^(-4)V`

D

`6.28xx10^(-5)V`

Text Solution

Verified by Experts

The correct Answer is:
D

emf, `e=Bl^(2)piv`
`=0.4xx10^(-4)xx(0.5)^(2)xx(3.14)xx(120)/(60)=6.28xx10^(-5)V`
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