A tube of length 1 m is filled completely with an ideal liquid of mass 2 M, and closed at both ends. The tube is rotated uniformly in horizontal…

A tube of length $\displaystyle 1$ m is filled completely with an ideal liquid of mass $\displaystyle 2$ M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is $\displaystyle \sqrt{\frac{\mathrm{F}}{\alpha \mathrm{M}}}$ in SI unit. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$.