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Two magnets A and B of the same dimensions and mass are made to oscillate in the same magnetic field. A performs 15 vibrations per minute and B, 10 vibrations per minute. The magnetic moments of the two magnets are in the ratio of

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81/16

3/2

9/4

$\frac{\sqrt{3}}{2}$

answer is C.

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Detailed Solution

$T = 2 π \sqrt{(\frac{I}{MB})} = \frac{1}{n} or n \propto \sqrt{M} or n^{2} \propto M ∴ {(\frac{n_{A}}{n_{B}})}^{2} = \frac{M_{A}}{M_{B}} or {(\frac{15}{10})}^{2} = \frac{M_{A}}{M_{B}} or \frac{M_{A}}{M_{B}} = {(\frac{3}{2})}^{2} = \frac{9}{4}$

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