A clean glass capillary tube of inner radius $0.5\ \text{mm}$ is dipped vertically into water. The surface tension of water is $0.07\ \text{N/m}$, the angle of contact is $0^\circ$, the density of water is $1000\ \text{kg/m}^3$ and $g = 10\ \text{m/s}^2$. Only $2.0\ \text{cm}$ of the tube sticks out above the water surface in the beaker, which is less than the height to which water would normally rise in this tube. Which statement describes what happens?