Two discs have mass ratio 1 : 2 and diameter ratio 2 : 1, then find the ratio of their moments of inertia.

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2 : 1

1 : 1

1 : 2

2 : 3

answer is A.

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Detailed Solution

Given, mass ratio of two discs,m1:m2=1:2, i.e. m1m2=12and diameter ratio, d1d2=21⇒r1r2=21∴ Ratio of their moments of inertia,I1I2=m1r122m2r222=m1m2⋅r1r22=12212=21∴ I1:I2=2:1

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