Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the centre is :
(1) \(\frac 14\frac{ML^2}{\pi^2}\)
(2) \(\frac 25\frac{ML^2}{\pi^2}\)
(3) \(\frac{ML^2}{\pi^2}\)
(4) \(\frac 12\frac{ML^2}{\pi^2}\)
