Three liquids of densities rho1,rho2 and...

Three liquids of densities `rho_1`,`rho_2` and `rho_3` (with `rho_1gtrho_2gtrho_2)` having the same value of surface tension `T`, rise to the same height in three identical capillaries. The angles of contact `theta_1`,`theta_2` and `theta_3` obey

`pi / 2 lt theta_1 lt theta_2 lt theta_3ltpi`

`pi gttheta_1 gt theta_2 gt theta_3gtpi/2`

`pi / 2 gttheta_1 gt theta_2 ge theta_3ltpi`

`0 le theta_1 lt theta_2 lt theta_3ltpi/2`

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