A) \[3\sqrt{3}\,T\]
B) \[\frac{\sqrt{3}}{2}\,T\]
C) \[\frac{1}{3\sqrt{3}}\,T\]
D) \[\frac{3}{2}T\]
Correct Answer: A
Solution :
The time period of nearest satellite \[T=2\pi \sqrt{\frac{{{R}^{3}}}{GM}}\] \[T\propto {{R}^{3/2}}\] For planet of radius\[=3R\] \[T'\propto {{(3R)}^{3/2}}\] \[T'\propto 3\sqrt{3}T\]
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