A thin uniform rod of length $$\ell$$ and mass $$m$$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $$\omega$$. Its centre of mass rises to a maximum height of

A

$$\frac{1}{3}\frac{\ell^2\omega^2}{g}$$

B

$$\frac{1}{6}\frac{\ell\omega}{g}$$

C

$$\frac{1}{2}\frac{\ell^2\omega^2}{g}$$

D

$$\frac{1}{6}\frac{\ell^2\omega^2}{g}$$