The height of liquid column raised in a capillary tube of certain radius when dipped in liquid 'A' vertically is 5 cm . If the tube is dipped in a similar manner in another liquid ' B &

Question

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid 'A' vertically is 5 cm . If the tube is dipped in a similar manner in another liquid ' B ' of surface tension and density double the values of liquid ' A ', the height of liquid column raised in liquid 'B' would be (Assume angle of contact same)

TestHub · Accepted Answer

∴ ∴ ∴ ​ Height of liquid column, h = r ρ g 2 T c o s θ ​ Given: h 1 ​ = 5 cm also T 2 ​ = 2 T 1 ​ ; ρ 2 ​ = 2 ρ 1 ​ h 1 ​ = r ρ 1 ​ g 2 T 1 ​ c o s θ ​ h 2 ​ = r ρ 2 ​ g 2 T 2 ​ c o s θ ​ = r ( 2 ρ 1 ​ ) g 2 ( 2 T 1 ​ ) c o s θ ​ = r ( 2 ρ 1 ​ ) g 4 T 1 ​ c o s θ ​ h 2 ​ h 1 ​ ​ = h 2 ​ 5 ​ = r ρ 1 ​ g 2 T 1 ​ c o s θ ​ × 4 T 1 ​ c o s θ r 2 ρ 1 ​ g ​ h 2 ​ 5 ​ = 1 h 2 ​ = 5 cm = 0.05 m ​

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