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Q.

Two discs have same mass and thickness. Their materials are made of densities d1 and d2. The ratio of their moments of inertia about an axis passing through the centre and perpendicular to the plane is

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a

d1:d2

b

d2:d1

c

d1d22

d

d2d12

answer is B.

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Detailed Solution

We have,  πR2td=m   (∵ Mass = Density × Volume )∴  R2=mπtdNow,    I=12mR2=m22πtdor    I∝1d∴  The ratio of moments of inertia,  I1I2=d2d1
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Two discs have same mass and thickness. Their materials are made of densities d1 and d2. The ratio of their moments of inertia about an axis passing through the centre and perpendicular to the plane is