An incompressible liquid is kept in a container having a weightless piston with a hole. A capill....

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An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius \(0.1 \mathrm{~mm}\) is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The air in the container is isothermally compressed from its original volume \(\frac{100}{101} V_{0}\) with the movable piston. Considering ah' as an ideal gas, the height \((h)\) of the liquid column in the capillary above the liquid level in \(\mathrm{cm}\) is[Given: Surface tension of the liquid is \(0.075 \mathrm{Nm}^{-1}\), atmospheric pressure is \(10^{5} \mathrm{Nm}^{-2}\), acceleration due to gravity \((g)\) is \(10 \mathrm{~ms}^{-2}\), density of the liquid is \(10^{3} \mathrm{~kg} \mathrm{~m}^{-3}\) and contact angle of capillary surface with the liquid is zero]
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