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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Two discs having moment of inertia

\mathrm{I}_1

and

\mathrm{I}_2

are made from same material have same mass. Their thickness and radii are

\mathrm{t}_1, \mathrm{t}_2

and

\mathrm{R}_1, \mathrm{R}_2

respectively. The relation between moment of inertia of each disc about an axis passing through its centre and perpendicular to its plane and its thickness is

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Correct option: B

\mathrm{I}_1 \mathrm{t}_1=\mathrm{I}_2 \mathrm{t}_2

Option C (I₁t₁=I₂t₂) is correct because the moment of inertia is proportional to the mass and the square of the radius, and the mass is related to the density, radius, and thickness.

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then its angular acceleration of the particle at

t = 1\,sec

\left( {rad\,{s^{ - 2}}} \right)