A wheel with 20 metallic spokes each 1 m long is rotated with a speed of 120 rpm in a plane perpendicular to…

A wheel with 20 metallic spokes each 1 m long is rotated with a speed of 120 rpm in a plane perpendicular to a magnetic field of 0.4 G. The induced emf between the axle and rim of the wheel will be, 1 G=10-4 T
  1. 2.51×10-4 V
  2. 2.51×10-5 V
  3. 4.0×10-5 V
  4. 2.51 V

Solution

Given, the angular velocity, ω=2π60×120 rad s-1

Recall the formula of induced EMF in terms of angular velocity and radius of the ring, ε=12Bωr2, now put the proper values at proper places, 

ε=12×0.4×10-4×2π12060(1)2

ε=0.8π×10-4=2.512×10-4 V

Asked in: NEET 2020 (Phase 2)

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