A $2$ $F$ capacitor is initially charged to $20$ $V$ and then shorted across a $5$ $mH$ inductor. The angular frequency of oscillation is.

Here,

$\begin{aligned} C & =\text { capacity } \\ & =2 \mathrm{~F} \\ L & =\text { inductor } \\ & =5 \mathrm{mH} \\ & =5 \times 10^{-3} \mathrm{H} \end{aligned}$

Frequeney, $\omega_{0}=\frac{1}{\sqrt{L C}}$

$=\sqrt{\frac{1}{5 \times 10^{-3} \times 2}}$

$=10 \mathrm{rad} / \mathrm{sec}$