A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which…

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?
  1. moment of inertia
  2. angular momentum
  3. angular velocity
  4. rotational kinetic energy.

Solution

Let it be assume that in "free space" not only the acceleration due to gravity it acting but al there are no external torque acting but also there are no external torque acting on the sphere. If due to internal changes in the system, the radius has increased, then the law of the conservation of angular momentum holds good.

Asked in: JEE Main 2004

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