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Q.

A hollow disc of inner radius R and outer radius 2R has moment of inertia I about an axis passing through its centre and perpendicular to the plane of the disc. When the disc is melted and recast into a solid disc of same thickness, its moment of inertia about the same axis is

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a

43I

b

25I

c

34I

d

35I

answer is D.

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Detailed Solution

Massm=π2R2−R2t.ρ=πR12.t.ρ⇒ R1=3 RNow, I=12m2R2+R2=52mR2I1=12mR12=12.m3 R2=32mR2=32.2I5=35I
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