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Question: Answered & Verified by Expert

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

PhysicsMechanical Properties of FluidsJEE Main
Options:
  • A πT2ρg
  • B 4πT2ρg
  • C T2ρg
  • D 2T2ρg
Solution:
1561 Upvotes Verified Answer
The correct answer is: 4πT2ρg
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 = 4πT2ρg

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