First slide

Law of conservation of angular momentum

Question

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 ?

Easy

A

Angular velocity
B

Moment of inertia
C

Angular momentum
D

Rotational kinetic energy

Solution

When radius of the sphere is gradually increasing, external torque acting on the sphere is zero. Hence, angular momentum of the sphere remains unchanged.

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