Fluid Mechanics

A glass rod of radius '\(r_1\)' is inserted symmetrically into a vertical capillary tube of radius '\(r_2\)' (\(r_1 < \mathrm{r}_2\)) such that their lower ends are at same level. The arrangement is dipped in water. The height to which water will rise into the tube will be (\(\rho=\) density of water, T = surface tension in water, g = acceleration due to gravity)