A thin uniform rod of mass ‘M’ and length ‘L’ is rotating about a perpendicular axis passing through its centre with a constant angular velocity $$'\omega'$$. of mass $$\frac{M}{3}$$ are attached gently to the two ends of the rod. The rod will now rotate with an angular velocity of :

A

$$\frac{1}{3} \omega$$

B

$$\frac{1}{7} \omega$$

C

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

D

$$\frac{1}{2} \omega$$