A uniform circular disc of radius R is rotating about its own axis with moment of inertia I at an angular velocity $\mathrm{\omega }$ If a denser particle of mass m is gently attached to the rim of disc than its angular velocity is

• A

  $\mathrm{\omega }$

• B

  $\mathrm{I\omega }(\mathrm{I}+\mathrm{mR})$

• C

  $\frac{\mathrm{I}+{\mathrm{mR}}^2}{\mathrm{I\omega }}$

• D

  $\frac{\mathrm{I\omega }}{\mathrm{I}+{\mathrm{mR}}^2}$