Q.

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]

Moderate

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a

1 : ρ1ρ2

b

ρ1ρ2 : 1

c

ρ1 : ρ2

d

ρ2 : ρ1

answer is 4.

(Detailed Solution Below)

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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
ctaimg
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