Mercury has an angle of contact equal to `140^@` with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside ? Surface tension of mercury at the temperature of the experiment is 0.465 `N m^-1`. Density of mercury = `13.6xx 10^3 kg m^-3`.