A thin rod of length l and mass m is turned at mid- point 0 at an angle of $60^{\circ}$ . The moment of inertia of the rod about an axis passing through 0 and perpendicular to the plane of the rod will be

Question

 

$$\begin {array} {1 1} (a)\;\frac{ml^2}{3} & \quad (b)\;\frac{ml^2}{6} \\ (c)\;\frac{Ml^2}{8} & \quad  (d)\;\frac{Ml^2}{12} \end {array}$$