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One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing

through the centre of the original disc. Its moment of inertia about the axis of rotation is

a
MR2/2
b
MR2/4
c
MR2/8
d
2MR2

detailed solution

Correct option is A

The moment of inertia of quarter disc about the centre is given byIC=14MR22, where M= mass of disc If M' be the mass of quarter disc, thenIc=14(4M)R22=MR22

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