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A capillary tube of radius r is lowered into a liquid of surface tension T and density ρ . The angle of contact between the solid and the free surface of the liquid is θ = 0 ° . During the process in which the liquid rises in the capillary, the work done by surface tension is

Options

  1. Aπ T 2 ρ g
  2. B4 π T 2 ρ g
  3. CT 2 ρ g
  4. D2 T 2 ρ g

Correct answer

B. 4 π T 2 ρ g

Step-by-step solution

The liquid rise in capillary tube is : h 0 = 2 T ρ gr The work done by surface tension will be : W = Fh 0 = 2 π Tr 2 T ρ gr = 4 π T 2 ρ g

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