NEET Physics Question - Rotational Motion - Angular Momentum and Conservation of Angular Momentum

Assertion (A): If total external torque on a rigid system is zero, its angular momentum remains constant.

Reason (R): The change in angular momentum is equal to the angular impulse of the resultant torque.

(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)

(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(3) (A) is true but (R) is false

(4) Both (A) and (R) are false

Solution:

Assertion (A) is true, stating the conservation of angular momentum. Reason (R) is true, defining the angular impulse-momentum theorem \(\Delta \vec{\text{L}} = int \vec{\tau} \text{dt}\). If \(\vec{\tau}_{ext} = 0\), then \(\Delta \vec{\text{L}} = 0\), so \(\vec{\text{L}}\) is constant. (R) correctly explains (A).

Rankers Physics

Conservation of Angular Momentum

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