An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius \( 0.1 \, \text{mm} \) 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 (\( h \)) of the liquid column in the capillary above the liquid level in \( \text{cm} \) is ____________.
[Given : Surface tension of the liquid is \( 0.075 \, \text{N m}^{-1} \), atmospheric pressure is \( 10^{5} \, \text{N m}^{-2} \) acceleration due to gravity (\( g \)) is \( 10 \, \text{m s}^{-2} \), density of the liquid is \( 10^{3} \, \text{kg m}^{-3} \) and contact angle of capillary surface with the liquid is zero]
