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Two satellites \mathrm{S_{1}} and \mathrm{S_{2}} are revolving in circular orbits around a planet with radius \mathrm{R_{1}=3200km} and \mathrm{R_{2}=800km} respectively. The ratio of speed of satellitte \mathrm{S_{1}} to the speed of satellite \mathrm{S_{2}} in their respective orbits would be \mathrm{\frac{1}{x}} where \mathrm{x}=________

Option: 1

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Option: 2

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Option: 3

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Option: 4

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Answers (1)

best_answer

Let the speed of satellite \mathrm{S_{1}\: \&\: S_{2}} be \mathrm{V_{1}\: \&\: V_{2}} respectively

\mathrm{V_{1} =\sqrt{\frac{G M}{R_{1}}}} \\

\mathrm{V_{2} =\sqrt{\frac{G M}{R_{2}}}} \\

\mathrm{\frac{V_{1}}{V_{2}} =\sqrt{\frac{R_{2}}{R_{1}}}=\frac{1}{2}=\frac{1}{x}} \\

\mathrm{ x=2}

Posted by

manish painkra

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