A) \[{{r}^{1/2}}\]
B) \[{{r}^{-1/2}}\]
C) \[{{r}^{-3/2}}\]
D) \[{{r}^{-5/2}}\]
Correct Answer: A
Solution :
[a] \[U=mV=kmr.\] Force, F \[=-\frac{dU}{dr}=-km\] Now, \[\frac{m{{v}^{2}}}{r}=km\]\[\therefore \]\[v\propto {{r}^{1/2}}\] \[\therefore \] \[T=\frac{2\pi r}{v}=\frac{2\pi r}{c{{r}^{1/2}}}\] \[\Rightarrow \] \[T\propto {{r}^{1/2}}\]You need to login to perform this action.
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