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If two discs have same mass and thickness but their densities are $ρ_{1}$ and $ρ_{2}$ then the ratio of their moments of inertia about central axis will be [BCECE (Mains) 2012]

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1 : ρ1ρ2

ρ1ρ2 : 1

ρ1 : ρ2

ρ2 : ρ1

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detailed solution

Correct option is D

Moment of inertia of disc, I=12MR2=12MMπρt∵ρ=MV=MπR2t,∴R2=MπρtI=12M2πρt∴ I∝1ρ (As, M and t are constants)∵ I1I2=ρ2ρ1

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If two discs have same mass and thickness but their densities are ρ1 and ρ2 then the ratio of their moments of inertia about central axis will be [BCECE (Mains) 2012]

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Ready to Test Your Skills?

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If two discs have same mass and thickness but their densities are $ρ_{1}$ and $ρ_{2}$ then the ratio of their moments of inertia about central axis will be [BCECE (Mains) 2012]