Two magnets of same size and mass make, respectively, 10 and 15 oscillations per minute at a certain place. The ratio of their magnetic moments is:

4 : 9

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9 : 4

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2 : 3

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3 : 2

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Solution

The correct option is A 4 : 9
number of oscillations by $m_{1}$ = 10 per minute
number of oscillations by $m_{2}$ = 15 per minute

frequency $n = \frac{1}{2 π} \sqrt{\frac{m B_{H}}{I}}$

$n α \sqrt{m}$
$\frac{10}{15} = \sqrt{\frac{m_{1}}{m_{2}}} ⟹ \frac{m_{1}}{m_{2}} = \frac{4}{9}$

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