Calculate the heat evolved for the rise of water when one end of the capillary tube of radius r is immeresed vartically into water. Asssume surface tension =T and density of water to be `rho`
A. `(2piT)/(rhog)`
B. `(piT^(2))/(rhog)`
C. `(2piT^(2))/(rhog)`
D. None of these

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1 Answers

Water rise to height `=h=(2T)/(rhogr)`
Potential energy of water colomn `U=(mgh)/(2) =(2piT^(2))/(rhog)`
The work performed by force of surface tension is `W=2pirTh=(4piT^(2))/(rhog)`
From conservation of energy , the heat evolved `Q=W-U=(2piT^(2))/(rhog)`

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