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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Assertion (A): If two different axes are at same distance from the centre of mass of a rigid body then moment of inertia of the given rigid body about both the axes will always be equal.
Reason (R): According to perpendicular axis theorem

\mathrm{I}=\mathrm{I}_{\mathrm{cm}}+\mathrm{Md}^2

where symbols have their usual meaning.

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Correct option: D

Both (A) and (R) are false

Option D (Both (A) and (R) are false) is correct because the moment of inertia depends on the distribution of mass relative to the axis, and the parallel axis theorem is

\mathrm{I} = \mathrm{I}_{cm} + \mathrm{Md}^2

, not the perpendicular axis theorem.

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