Question

The spokes of a wheel are made of metal and their lengths are of one metre. On rotating the wheel about its own axis in a uniform magnetic field of 5 105 tesla normal to the plane of wheel, a potential difference of 3.14 mv is generated between the rim and the axis. The rotational velocity of the wheel is (a) 63 rev./s (b) 50 rev./s (c) 31.4 rev./s (d) 20 rev./s

Answer 1

Dear Student,

◆ Answer - (d)

f = 20 rev/s

◆ Explanation -

Potential difference generated between rim and axis of cycle is calculated by -

V = 1/2 B.ω.l²

V = 1/2 × B × 2πf × l²

f = V / Bπl²

f = 3.14×10^-3 / (5×10^-5 × 3.14 × 1²)

f = 20 rev/s

Therefore, frequency of revolution of the wheel is 20 rev/s.

Thanks dear...