A thin unifonn rod (X) of mass Mand length L is pivoted at a height $$(\frac{L}{3})$$ as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is __________.
(g = gravitational acceleration)

A

$$\frac{1}{\sqrt{2}}\sqrt{\frac{g}{L}}$$

B

$$\frac{3}{\sqrt{2}}\sqrt{\frac{g}{L}}$$

C

$$\sqrt{\frac{3g}{L}}$$

D

$$\sqrt{\frac{3}{2}\frac{g}{L}}$$