Answer:
For
circular motion, tension in the string is \[T=\frac{m{{\upsilon }^{2}}}{r}\]
...(i)
Angular
momentum, \[L=m\,\upsilon \,r\,=K\,=\operatorname{co}ns\tan t\].
\[\upsilon
=\frac{K}{mr}\]
Put
in (i), \[T=\frac{m}{r}{{\left( \frac{K}{mr}
\right)}^{2}}=\frac{{{K}^{2}}}{m}{{r}^{-3}}\]
As
\[T=A{{r}^{n}}\] \[\therefore \] \[n=-3\], which was to be
proved.
You need to login to perform this action.
You will be redirected in
3 sec