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  4. In the absence of external torque for a body revolving about any axis, the quantity that remains constant is

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Q. In the absence of external torque for a body revolving about any axis, the quantity that remains constant is

System of Particles and Rotational Motion

Solution:

In the absence of external torque for a body revolving
about any axis, the angular momentum remains constant. This
is known as law of conservation of angular momentum.
$\vec{\tau} =\frac{d \vec{L}}{d t} $
$\text { As } \vec{\tau}=0 \therefore \frac{d \vec{L}}{d t}=0 \text { or } \vec{L}= $ constant