A body weighs 700, gm weight on surface of earth. How much will it weigh on surface of a planet whos

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7.Gravitation

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A body weighs $700\, gm$ weight 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

$300$

Solution

$g^{1}=G\left(\frac{M e}{7}\right)\left(\frac{4}{R e^{2}}\right)=\frac{4}{7} g$

$\frac{w^{1}}{w}=\frac{g^{1}}{g}=\frac{4}{7} \Rightarrow w^{1}=\frac{4}{7} \times 700=400 \mathrm{gm}$ wt

Standard 11

Physics

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