Masses of the earth and the moon are in the ratio of 3 : 2 and the radii are in the ratio of 6 : 1. The ratio of the weights of body on their surfaces will be

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12/1

1/12

1/24

24/1

answer is B.

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Detailed Solution

$\begin{array}{l} M_{e} : M_{m} = 3 : 2, R_{e} : R_{m} = 6 : 1 \\ g = \frac{GM}{R^{2}} \\ \frac{g_{e}}{g_{m}} = \frac{M_{e}}{M_{m}} \times {(\frac{R_{m}}{R_{e}})}^{2} \\ \frac{g_{e}}{g_{m}} = \frac{3}{2} \times \frac{1}{36} \\ \frac{{Mg}_{e}}{{Mg}_{m}} = \frac{1}{24} \end{array}$

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