Conservation of Angular Momentum – Rankers Physics
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Conservation of Angular Momentum

Assertion (A): Angular momentum of a body may remain conserved even when moment of inertia of body changes.nReason (R): Angular momentum of a body does not depend upon moment of inertia of the body.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true: If no external torque acts, angular momentum \(L\) is conserved. If moment of inertia \(I\) changes, angular velocity \(\omega\) adjusts to keep \(L = I\omega\) constant. Reason (R) is false: Angular momentum \(L = I\omega\) explicitly depends on the moment of inertia \(I\). Thus, (A) is true, (R) is false.

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