⇒Rotational Dynamics

Correct Option is (D)

$\begin{array}{rl}& \text{ Centripetal force }={\mathrm{m}}^2\mathrm{r}\\ & \therefore \omega =\frac{L}{I}=\frac{L}{{\mathrm{mr}}^2}\dots .(\because \mathrm{L}=\mathrm{I}\omega )\\ & \therefore \mathrm{F}=\mathrm{m}{\left(\frac{\mathrm{L}}{{\mathrm{mr}}^2}\right)}^2\mathrm{r}=\frac{{\mathrm{mL}}^2\mathrm{r}}{{\mathrm{m}}^2{\mathrm{r}}^4}=\frac{{\mathrm{L}}^2}{{\mathrm{mr}}^3}\end{array}$