A) \[{{T}^{2}}\propto {{R}^{3}}\]
B) \[T\propto {{R}^{2}}\]
C) \[{{T}^{2}}\propto R\]
D) \[T\propto R\]
Correct Answer: B
Solution :
Gravitational force provides the required centripetal force \[m{{\omega }^{2}}R=\frac{GMm}{{{R}^{3}}}\]\[\Rightarrow \]\[\frac{4{{\pi }^{2}}}{{{T}^{2}}}=\frac{GM}{{{R}^{4}}}\]\[\Rightarrow \]\[T\propto {{R}^{2}}\]You need to login to perform this action.
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