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Calculate the heat evolved for the rise ...

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

Text Solution

Verified by Experts

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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