A body weighs 700 gm-wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is 1/7 and radius half of the earth ?

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200 gm wt

400 gm wt

500 gm wt

300 gm wt

answer is B.

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Detailed Solution

$\begin{array}{l} g \propto \frac{M}{R^{2}} \Rightarrow g^{'} \propto \frac{M}{7 R^{2}} \times 4 \\ g^{'} = \frac{4}{7} g \\ \Rightarrow {mg}^{'} = \frac{4}{7} \times 700 = 400 gm - wt \end{array}$

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