A) 1 : 2
B) 1 : 16
C) 1 : 32
D) \[1:2\sqrt{2}\]
Correct Answer: D
Solution :
Mass of the satellite does not effects on time period \[\frac{{{T}_{A}}}{{{T}_{B}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3/2}}={{\left( \frac{r}{2r} \right)}^{3/2}}={{\left( \frac{1}{8} \right)}^{1/2}}=\frac{1}{2\sqrt{2}}\]
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