The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is
A
12Mr2
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B
Mr2
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C
25Mr2
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D
14Mr2
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Solution
The correct option is A12Mr2 If ′M′ is the mass of the semi-circular disc, then mass of complete disc will be 2M.
Moment of inertia of complete disc about the given axis =12(2M)R2=MR2
Moemnt of inertia of semi-circular disc =12MR2
So, (a) is the right choice.