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Question

The masses of two uniform discs are in the ratio 1:2 and their diameters are in the ratio 2:1. The ratio of their moments of inertia about the axis passing through their respective centres and perpendiculars to their planes is

A
1:1
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B
1:2
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C
2:1
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D
1:4
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Solution

The correct option is C 2:1
Given: m1:m2=1:2d1:d2=2:1r1:r2=2:1
Therefore moment of inertia are:
I1=m1r21I2=m2r22
Ratio is I1I2=m1r21m2r22=12(21)2=21

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