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  • Figure shows a three arm tube in which a liquid is filled upto levels of height l. It is now rotated at an angular frequency <img alt="\mathrm{\omega}" src="https://entrancecorner.oncodecogs.com/gi

Figure shows a three arm tube in which a liquid is filled upto levels of height l. It is now rotated at an angular frequency \mathrm{\omega} about an axis passing through arm B. The angular frequency \mathrm{\omega} at which level of liquid of arm B becomes zero.

Option: 1

\mathrm{\sqrt{\frac{2 \mathrm{~g}}{3 l}}}


Option: 2

\mathrm{\sqrt{\frac{\mathrm{g}}{l}}}


Option: 3

\mathrm{\sqrt{\frac{3 g}{l}}}


Option: 4

\mathrm{\sqrt{\frac{3 g}{2 l}}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & d P \cdot A=\rho A d x \cdot \omega^2 x \\\\ & \int d p=\int \rho \omega^2 x d x \\\\ & \Delta P=\frac{\rho \omega^2 \ell^2}{2}=\frac{3 \ell \rho g}{2} \\\\ & \omega=\sqrt{\frac{3 g}{\ell}} \end{aligned}}

Posted by

Irshad Anwar

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