Two geometrically similar magnets having same mass but magnetic moments M₁ and M₂ (M₁M₂) are taken and vibrate in a vibration magnetometer with their like poles together and unlike poles together. If

Question

Two geometrically similar magnets having same mass but magnetic moments M₁ and M₂ (M₁>M₂) are taken and vibrate in a vibration magnetometer with their like poles together and unlike poles together. If the ratio of their time periods in both cases respectively is 1/4, then ratio of M₁ to M₂ is:

Accepted Answer

Answer: 17/15 — M₁/M₂ = (T₂² + T₁²) / (T₂² − T₁²) = (1 + (T₁/T₂)²) / (1 − (T₁/T₂)²) M₁/M₂ = (1 + 1/16) / (1 − 1/16) = 17/15

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