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  4. When no external torque acts on a rotating system,

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Q. When no external torque acts on a rotating system,

KEAMKEAM 2021

Solution:

According to the law of conservation of angular momentum, when no external torque acts on rotating object, angular momentum remains conserved.
However, rotational kinetic energy is given as
$(K E)_R=\frac{1}{2} I \omega^2$
where, $I$ is moment of inertia and $\omega$ is angular frequency.
$\Rightarrow(K E)_R \propto I$