Q.

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

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a

(1/4)Mr2

b

(2/5) Mr2

c

(1/2)Mr2

d

Mr2

answer is C.

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Detailed Solution

We know that the moment of inertia of a circular disc about an axis perpendicular to the plane of disc and passing through centre is  (1/2) Mr2. For semi-circular discI=1212(2M)r2=12Mr2
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