A solid sphere is rotating about a diameter at an angular velocity $\mathrm{\omega }$. If it cools so that its radius reduces to $\frac{1}{\mathrm{n}}$ of its original value, its angular velocity becomes

• A

  $\frac{\mathrm{\omega }}{\mathrm{n}}$

• B

  $\frac{\mathrm{\omega }}{{\mathrm{n}}^2}$

• C

  $\mathrm{n\omega }$

• D

  ${\text{n}}^2\mathrm{\omega }$