Q110 / 200 · NEET 2006 · Physics
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 $\omega$. The force exerted by the liquid at the other end is:
- A$\frac{M L^2 \omega^2}{2}$
- Correct answerB$\frac{M L \omega^2}{2}$
- C$\frac{M L^2 \omega}{2}$
- D$M L \omega^2$
Solution
$\therefore$ Centrifugal force $=M \omega^2 r$
$$
\begin{aligned}
& =M\left(\frac{1}{2}\right) \omega^2 \\
& =\frac{M L \omega^2}{2} .
\end{aligned}
$$
Hence, the correct answer is option: 'B'.