In a capillary tube of area of cross-section 'a' water rises to height 'h'. To what height will water rise in a capillary tube of area of cross-section 4 a ?

Step-by-step solution

The height of liquid rise in a capillary tube follows Jurin's law: h = 2T g r , demonstrating that h 1 r . Since the cross-sectional area A = r^2 , the radius r = A . Substituting yields h 1 A . When the area increases from A₁ = a to A₂ = 4a , the height ratio becomes h₂ h₁ = a 4a = 1 2 . The water rises to height h₂ = h 2 . Answer: C