A) \[\sqrt{r}\]
B) \[r\]
C) \[{{r}^{\frac{3}{2}}}\]
D) \[{{r}^{2}}\]
Correct Answer: D
Solution :
If the gravitational force were to vary as\[\frac{1}{{{r}^{3}}},\] the speed of the planet round the sun would be give by: \[v=\sqrt{\frac{GM}{{{r}^{2}}}}\]instead of \[v=\sqrt{\frac{GM}{r}}\] Therefore, the period of revolution of the planet would be given by \[T=\frac{2\pi r}{v}=\frac{2\pi {{r}^{2}}}{\sqrt{GM}}\] Hence, the correction option is (d).You need to login to perform this action.
You will be redirected in
3 sec