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Find the number of oscillations performed per minute by a magnet is vibrating in the plane of a uniform field of 1.6 × 10-5 Wb/m2. The magnet has moment of inertia 3 × 10-6 kg/m2 and magnetic moment 3 A-m2.

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Given:  B =1.6 x 10-5 T, I = 3 x 10-6 Kg/m2, m =3 A-m2

The period of oscillation, T = 2πIμB

∴ The frequency of oscillation is

η = 12πμBI

The number of oscillations per minute

60η =602π(3)(1.6×105)3×106

=602π16

= 38.19 per minute

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