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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) $\frac{1}{4}\frac{ML^2}{\pi^2}$
(2) $\frac{2}{5}\frac{ML^2}{\pi^2}$
(3) $\frac{ML^2}{\pi^2}$
(4) $\frac{1}{2}\frac{ML^2}{\pi^2}$
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