From a disc of radius \( R \) and mass \( M \), a circular hole of ...

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From a disc of radius \( R \) and mass \( M \), a circular hole of diameter \( R \), whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
(b) \( 9 M R^{2} / 32 \)
(c) \( 15 M R^{2} / 32 \)
(d) \( 13 M R^{2} / 32 \) (NEET-I 2016)
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