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Angular Momentum & its Conservation question from NEET 2018

Q66NEET 2018Easy

Angular Momentum & its Conservation

A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

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Answer: (d)

Free space: no external torque, so angular momentum $L = I\omega$ is conserved.
$I$ increases with radius, so $\omega$ decreases and $KE = \dfrac{L^2}{2I}$ decreases.
So the answer is (d) angular momentum.

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