A) \[{{R}^{3}}\]
B) \[{{R}^{7/2}}\]
C) \[{{R}^{5/2}}\]
D) \[{{R}^{3/2}}\]
Correct Answer: B
Solution :
For revolution of planet centripetal force is provided by gravitational force of attraction \[m{{\omega }^{2}}R\propto {{R}^{-5/2}}\]Þ\[\frac{1}{{{T}^{2}}}\propto {{R}^{-7/2}}\]\[\Rightarrow {{T}^{2}}\propto {{R}^{7/2}}\]You need to login to perform this action.
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