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Q.

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?

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a

Angular velocity

b

Moment of inertia

c

Rotational kinetic energy

d

Angular momentum

answer is D.

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Detailed Solution

As there is no external torque acting on a sphere, i.e.,τex=0 So, dLdt=τex=0 i.e., L= constant So angular momentum remains constant.
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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?