Q 10.30 Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is 7.3 × 10-2 N m-1. Take the angle of contact to be zero and density of water to be 1.0 × 103 kg m-3 (g = 9.8 m s-2).
For the angle of contact , radius of the tube r, surface tension t, the density of fluid the rise in the column is given by
The radii of the two limbs r1 and r2 are 3.0 mm and 1.5 mm respectively
The level in the limb of diameter 6.0 mm is
The level in the limb of diameter 3.0 mm is
The difference in the heights is h2 - h1 = 4.96 mm