A thin wire of length \( I \) and mass \( m \) is bent in the form of a semicircle as shown. Its...

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A thin wire of length \( I \) 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
(1) \( m^{2} \)
(2) Zero
(3) \( \frac{m l^{2}}{\pi^{2}} \)
(4) \( \frac{m f^{2}}{2 \pi^{2}} \)
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