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  4. Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R 1=3200 km and R 2=800 km respectively. The ratio of speed of satellite S1 to the speed of satellite S2 in their respective orbits would be (1/ x ) where x =

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Q. Two satellites $S_{1}$ and $S_{2}$ are revolving in circular orbits around a planet with radius $R _{1}=3200\, km$ and $R _{2}=800 \,km$ 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:

$V =\frac{ GM }{ r } \Rightarrow \frac{ V _{1}}{ V _{2}}=\sqrt{\frac{800}{3200}}=\frac{1}{2}$