A capillary tube of radius r and height h is connected to a broad tube as shown in the figure. The broad tube is gradually filled with drops of water falling at equal intervals. Density and surface tension of water are $\rho$ and $\alpha$ respectively. Contact angle between water and the capillary tube is zero

Let  $h_0=\frac{2\alpha }{\rho gr}$,  $h_1>h_0$ and  $h_2>h_1+h_0$

The whole phenomena of rise of water in capillary and tube is balance of pressure. Initially water start rising in capillary tube with concave meniscus up and continuously decreasing radius to maintain static pressure. This rise continues till height reaches to $h_o$ and meniscus reach in minimum value. After that water rise in both capillary and tube without change of meniscus when height in capillary reach to $h_1$ then shape of meniscus change from concave of convex without overflow while level of water in tube rises. As convex shape reach its minimum value water overflow. This happens when level in tube reach height of $h_1 + h_0$