Water of surface tension 0.075 N/m rises in a capillary tube of radius 0.50 mm. Take contact angle 0°, density 1000 kg/m³ and g = 10 m/s². If the capillary rise is N cm, find N.

Question

G1 Physics · Accepted Answer

For complete wetting, cosθ = 1. Capillary rise: h = 2S/[ρgr]. Substitute S = 0.075, ρ = 1000, g = 10, r = 0.50 mm = 5×10⁻⁴ m. Therefore, h = 0.15/ [1000×10×5×10⁻⁴] = 0.03 m = 3 cm. Hence, N = 3.