Three liquids of densities ρ_1, ρ_2 and ρ_3 (with ρ_1>ρ_2>ρ_3 ), having the same value of surface tension T, rise to the same height in three…

Three liquids of densities $\displaystyle \rho_1, \rho_2$ and $\displaystyle \rho_3$ (with $\displaystyle \rho_1>\rho_2>\rho_3$), having the same value of surface tension $\displaystyle T$, rise to the same height in three identical capillaries. The angles of contact $\displaystyle \theta_1, \theta_2$ and $\displaystyle \theta_3$ obey