Question

A hot sphere is rotating about is diameter with the angular velocity w. If on cooling its radius becomes \(\frac{1}{n}\) of its initial radius, then its angular velocity will become:

\((a)\ \frac{\omega}{n}\)

\((b)\ \frac{\omega}{n^2}\)

(c) nω

(d) n²ω

Answer 1

Correct option is : (d) n²ω

No external torque is acting on the sphere, therefore its angular momentum will remain constant i.e.,