A uniform solid sphere of copper is rotating about a diameter with an angular speed $\mathrm{\omega }$. Its temperature is increased by 80°C. ${\mathrm{\alpha }}_{\mathrm{Cu}}$ being the coefficient of linear expansion of Cu,new angular speed of the sphere will be :

• A

  $\frac{\mathrm{\omega }}{1+80 {\mathrm{\alpha }}_{\mathrm{Cu}}}$

• B

  $\frac{\mathrm{\omega }}{1+160 {\mathrm{\alpha }}_{\mathrm{Cu}}}$

• C

  $\mathrm{\omega }(1+80 {\mathrm{\alpha }}_{\mathrm{Cu}})$

• D

  $\frac{\mathrm{\omega }}{1+180 {\mathrm{\alpha }}_{\mathrm{Cu}}}$