A tube of length l is filled completely with an incompressi…

Physics Motion in a Plane Mix Single Correct MCQ

Published on: September 11, 2026

A tube of length l is filled completely with an incompressible liquid of mass \(\mathbf{M}\) 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

\(\frac{ML\omega^2}{2}\)

\(ML \cdot m^{2}\)

\(\frac{MLa^{2}}{4}\)

\(\frac{mLr^2}{2}\)

Text Solution

Verified by Experts

The correct answer is:

\(\operatorname{cov} = \left| \frac{N}{I} : \alpha x \right|\)

force on ‘ dM ’ mass is

dF = (dM) r \ddot{x}

By integration we can get the force exerted by whole liquid

⇒ ⇒ \(F = \int_{b}^{c} \frac{M}{l} x \, dx\) \(-\frac{1}{2} M \omega^{2} L^{2}\)

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