The shown $H$ shaped apparatus contains an ideal incompressible liquid and has dimension as shown in figure . The diameters of the Tubes are small as compared to $h$ and $R$. The apparatus is rotated with a constant angular velocity $\omega$ about a symmetric vertical axis as shown in figure. The pressure at point $A$ is
Diffcult
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Due to rotation of system, height $'h'$ will
not change in capillary.
So, $P_{A}=P_{B}-\frac{\rho \omega^{2} R^{2}}{2}=P_{0}+\rho g h-\frac{\rho \omega^{2} R^{2}}{2}$
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