Question: A particle is moving with a uniform speed in a circular orbit of radius $\mathrm{R}$ in a central force inversely proportional to the $n^{\text {th }}$ power of $R$. If the period of rotation of the particle is $T$, then,
$T \propto R^{\frac{n}{2}+1}$
$T \propto R^{(\mathrm{n}+1) / 2}$
$\mathrm{T} \propto \mathrm{R}^{\mathrm{n} / 2}$
$T \propto R^{3 / 2}$ for any $n$
Correct Option: , 2
Solution:
