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  • A planet having mass 9 Me and radius 4Re, where Me and Re are mass and radius of earth respectively, has escape velocity in km/s given by: <img alt="\text { (Given escape velocity on eart

A planet having mass 9 Me and radius 4Re, where Me and Re are mass and radius of earth respectively, has escape velocity in km/s given by:

\text { (Given escape velocity on earth } \mathrm{V}_{\mathrm{e}}=11.2 \times 10^3 \mathrm{~m} / \mathrm{s} \text { ) }

Option: 1

11.2


Option: 2

67.2


Option: 3

33.6

 


Option: 4

16.8


Answers (1)

best_answer

\begin{aligned} & \text { Escape velocity, } \mathrm{v}_{\mathrm{e}}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}} \\ & \mathrm{V}_{\mathrm{p}}=\sqrt{\frac{2 \mathrm{G}\left(9 \mathrm{~m}_{\mathrm{e}}\right)}{4 \mathrm{R}_{\mathrm{e}}}}=\frac{3}{2}\left(\mathrm{~V}_{\mathrm{e}}\right)_{\text {earth }} \\ & \mathrm{v}_{\mathrm{p}}=\frac{3}{2} \times 11.2 \mathrm{~km} / \mathrm{s} \\ & \mathrm{v}_{\mathrm{p}}=16.8 \mathrm{~km} / \mathrm{s} \end{aligned}

Posted by

Gautam harsolia

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