A thin wire of length l and mass m is bent in the form of a semicircle as shown. Its moment of inertia about an axis joining its free ends will be

Question

$$\begin {array} {1 1} (a)\;Ml^2 & \quad (b)\;zero \\ (c)\;\frac{ml^2}{\pi^2} & \quad  (d)\;\frac{ml^2}{2\pi ^2} \end {array}$$