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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a
1 : ρ1ρ2
b
ρ1ρ2 : 1
c
ρ1 : ρ2
d
ρ2 : ρ1
answer is D.
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Detailed Solution
Moment of inertia of disc, I=12MR2=12MMπρt∵ρ=MV=MπR2t,∴R2=MπρtI=12M2πρt∴ I∝1ρ (As, M and t are constants)∵ I1I2=ρ2ρ1