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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?

1. (a) Angular velocity
2. (b) Moment of inertia
3. (c) Angular momentum
4. (d) Rotational kinetic energy

Correct answer: (c) Angular momentum

Solution

In the absence of external torque, angular momentum remains conserved. As the radius increases, the moment of inertia changes, and angular velocity adjusts to conserve angular momentum.

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