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Q.

Two discs of same mass and different radii are made of different materials such that their thickness are 1 cm and 0.5 cm respectively. The densities of materials are in the ratio 3:5 . The moment of inertia of these discs respectively about their diameters will be in the ratio of x6. The ratio of x is _____

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answer is 5.

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Detailed Solution

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I=mR24m=πR2hρR2=mπhρI=m24πhρI1I1I2=h2ρ2h1ρ1=0.51×53=56x=5

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