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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A uniform heavy disc is rotating at constant angular velocity

\omega

about a vertical axis through its centre and perpendicular to the plane of the disc. Let L be its angular momentum. A lump of plasticine is dropped vertically on the disc and sticks to it. Which will be constant

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Correct option: C

L only

Option C (L only) is correct because the angular momentum is conserved in the absence of external torque, even though the moment of inertia and angular velocity change.

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\omega = {t^4} + 2{t^3}

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t = 1\,sec

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