A body weighs 700 gm wt on the surface of

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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 $\frac{1}{7}$ and radius is half that of the earth ........ $gm\, wt$

A

$200$

B

$400$

C

$50$

D

$300$

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 $\frac{1}{7}$ and radius is half that of the earth ........ $gm\, wt$

We know that $g = \frac{{GM}}{{{R^2}}}$ 

On the planet ${g_p} = \frac{{GM/7}}{{{R^2}/4}} = \frac{{4g}}{7} = \frac{4}{7}g$

Hence weight on the planet $ = 700 \times \frac{4}{7} = 400\,\,gm\,wt$