A uniform metal rod of length 'L' and mass 'M' is rotating about an axis passing through one of the ends & perpendicular to the rod with angular speed $'\omega'$. If the temperature increases by $t^{\circ}C$, then the change in its angular velocity is proportional to which of the following ? <br> (Coefficient of linear expansion of rod = $\alpha$)

Question

( A ) $\sqrt{\omega}$
( B ) $\omega^2$
( C ) $\omega$
( D ) $\frac{1}{\omega}$