A magnetic dipole of magnetic moment 6 × 10 - 2 A m 2 and moment of inertia 12 × 10 - 6 k g m 2 performs oscillations in a magnetic field of 2 × 10 - 2 T . The time taken by the dipole to complete 20 oscillations is π ≃ 3

Question

A magnetic dipole of magnetic moment 6 × 10 - 2 A m 2 and moment of inertia 12 × 10 - 6 k g m 2 performs oscillations in a magnetic field of 2 × 10 - 2 T . The time taken by the dipole to complete 20 oscillations is π ≃ 3, 18 s, 6 s, 36 s, 12 s

MARKS App · Accepted Answer

Given, Magnetic moment M = 6 × 10 - 2 A m 2 Moment of inertia I = 12 × 10 - 6 k g m 2 Magnetic field B = 2 × 10 - 2 T We know that, Time T = 2 π I M B = 2 π 12 × 10 - 6 6 . × 10 - 2 × 2 × 10 - 2 = 2 π 12 × 10 - 2 12 = 2 π × 10 - 1 s For 20 oscillations of t ≈ 12 s

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