Two discs of same mass and same thickness (t) are made from two different matcrials of densities ' d_1 ' and ' d_2 ' respectively. The ratio of the moment of inertia I_1 to I_2 of two discs about an…

Question

Two discs of same mass and same thickness (t) are made from two different matcrials of densities ' d_1 ' and ' d_2 ' respectively. The ratio of the moment of inertia I_1 to I_2 of two discs about an axis passing through the centre and perpendicular to the plane of disc is

Accepted Answer

Correct answer: B. (b) : Moment of Inertia of disc = 12mR^2 mass density= volume Volume of disc = R^2t So, R_1^2t= md_1 ; R_2^2t= md_2 R_1R_2= d_2d_1 ; I_1I_2= 12mR_1^2 12mR_2^2= d_2d_1

$Two discs of same mass and same thickness (t) are made from two different matcrials of densities ' d_{1}' and ' d_{2}' respectively. The ratio of the moment of inertia I_{1} to I_{2} of two discs about an axis passing through the centre and perpendicular to the plane of disc is$

Solution

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