The capillaries displayed in the figure possess inner radii of 0.5 mm , 1.0 mm and 1.5 mm respectively. The liquid contained within the beaker is water. Determine the heights of the water level in the capillaries. The surface tension of water is 7.5 10⁻² N/m .

Step-by-step solution

The height of liquid in a capillary tube is given by Jurin's law: h = 2T g r For water and glass, the angle of contact 0^ , so = 1 . Density of water, = 1000 kg/m ^3 . Acceleration due to gravity, g = 10 m/s ^2 . Surface tension, T = 7.5 10⁻² N/m . For capillary A, r_A = 0.5 mm = 0.5 10⁻³ m : h_A = 2 7.5 10⁻² 1 1000 10 0.5 10⁻³ = 15 10⁻² 5 = 3 10⁻² m = 3 cm For capillary B, r_B = 1.0 mm = 1.0 10⁻³ m : h_B = 2 7.5 10⁻² 1 1000 10 1.0 10⁻³ = 15 10⁻² 10 = 1.5 10⁻² m = 1.5 cm For capillary C, r_C = 1.5 mm = 1.5 10⁻³ m :