The Two satellites... | Gravitation | JEE-MAIN 2022

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JEE MAIN 2022

25-06-2022 S2

Question

Two satellites $S_1$ and $S_2$ are revolving in circular orbits around a planet with radius $R_1=3200 \mathrm{~km}$ and $R_2=800 \mathrm{~km}$ respectively. The ratio of speed of satellite $S_1$ to the speed of satellite $S_2$ in their respective orbits would be $\frac{1}{x}$ where $x=$

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Solution

$V=\frac{G M}{r} \Rightarrow \frac{V_1}{V_2}=\sqrt{\frac{800}{3200}}=\frac{1}{2}$

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