A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\mathrm{\omega }$. The force exerted by the liquid at the other ends is :

• A

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

• B

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

• C

  ${\mathrm{ML\omega }}^2$

• D

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