A body weighs 700,gm,wt. on surface of earth. How much will it weigh on surface of a planet whose ma

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7.Gravitation

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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 half of that of the earth ....... $gm\, wt$

A

$200$

B

$400$

C

$50$

D

$300$

Solution

$\mathrm{g}_{\text {planet }}=\frac{\mathrm{G}(\mathrm{M} / 7)}{(\mathrm{R} / 2)^{2}}=\frac{4}{7} \mathrm{g}=\frac{40}{7}$

Therefore $\mathrm{W}_{\text {planet }}=\frac{(700)}{10} \times \frac{40}{7}=400 \mathrm{gmwh}$

Standard 11

Physics

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