An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of…

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 $V_0$ to $\frac{100}{101}{V}_0$ with the movable piston. Considering air as an ideal gas, the height $\left(h\right)$ of the liquid column in the capillary above the liquid level in $\mathrm{cm}$ is _____.

[Given: Surface tension of the liquid is $0.075 \mathrm{N} {\mathrm{m}}^{-1}$, atmospheric pressure is ${10}^5 \mathrm{N} {\mathrm{m}}^{-2}$, acceleration due to gravity $\left(g\right)$ is $10 \mathrm{m} {\mathrm{s}}^{-2}$, density of the liquid is ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$ and contact angle of capillary surface with the liquid is zero]