A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
- AMoment of inertia
- BAngular momentum
- CAngular velocity
- DRotational kinetic energy
Solution & Step-by-step Explanation
In "free space," there is no external torque acting on the sphere ().By the Law of Conservation of Angular Momentum, .When the radius increases, the moment of inertia increases.To keep constant, the angular velocity must decrease.Rotational kinetic energy will decrease as increases.Thus, only angular momentum remains unaffected.