Rotational Motion Question 92

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?

Options:

A) Rotational kinetic energy

B) Moment of inertia

C) Angular velocity

D) Angular momentum

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Answer:

Correct Answer: D

Solution:

  • [d] $ {\tau _{ex}}=0 $

    $ \text{So,}\frac{dL}{dt}\text{=0} $

    i.e.

    L = constant

    So angular momentum remains constant.



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