If a liquid rises to the same height in two capillaries of the same material at the same temperature, then

$\mathrm{h}=\frac{\mathrm{T}}{\mathrm{Rdg}}$

Given that h, T, d and g are fixed, hence R must be same.

As weight of the liquid is balanced by force due to surface tension (T cos $\mathrm{\theta }$ and R are fixed for a given liquid, given material of capillary at a constant temperature) hence, weights of liquids in both the capillaries must be equal.