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The lower end of a vertical glass capillary tube of radius 2r is dipped in water. Now a solid glass rod of radius r is coaxially inserted into the tube. It surface tension of water is T and density of water is ρ, then capillary rise (h) is

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a

3T2ρrg

b

2Tρrg

c

4Tρrg

d

3T/ρrg

answer is B.

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Detailed Solution

Mass of water in the space between the tube and the rod m=π2r2−r2ρh=3πr2.ρhvertically upward tension force acting on the water column = 2πrT + 2π(2r)T = 6πrT In equilibrium, 3πr2ρhg = 6πrT⇒ h= 2Trρg

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