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Question

A vertical capillary tube is brought in contact with the water surface (coefficient of surface tension T). The radius of the capillary is r and the angle of contact 0 is . If ρ is the density of water, the increase in the potential energy of the water due to capillary rise is


A

2πT2ρg

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B

2πT2ρg

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C

2T2ρg

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D

2T2g

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Solution

The correct option is B

2πT2ρg


h=2Tr&g

Force due to surface tension, F=(2πr)(T)

Increase in potential Energy of water coloumn is equal to work done in displacing its centre of mass


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