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?

Option 1)

moment of inertia

Option 2)

angular momentum

Option 3)

angular velocity

Option 4)

rotational kinetic energy

Answers (1)
A Aadil

As we learnt in

Law of conservation of angular moment -

\vec{\tau }= \frac{\vec{dL}}

- wherein

If net torque is zero

i.e. \frac{\vec{dL}}= 0

\vec{L}= constant

angular momentum is conserved only when external torque is zero .

 

 Angular momentum remains constant

i.e. \vec{\tau_{ext}}=0


Option 1)

moment of inertia

This is an incorrect option.

Option 2)

angular momentum

This is the correct option.

Option 3)

angular velocity

This is an incorrect option.

Option 4)

rotational kinetic energy

This is an incorrect option.

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