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JEE Main 2004 (AIEEE) · Angular Momentum & its Conservation

Angular Momentum & its Conservation question from JEE Main 2004 (AIEEE)

Q91JEE Main 2004 · AIEEEEasy

Angular Momentum & its Conservation

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following will not be affected?

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Answer: (b)

No external torque in free space, so $L = I\omega$ stays constant.
$I$ increases, $\omega$ decreases and rotational KE $= L^2/2I$ decreases.
So the answer is (b) angular momentum.

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