Question

The height h to which a liquid rises in a capillary tube of radius r depends, in addition to r, on i)surface tension σ of the liquid, ii)density ρ of the liquid & iii)the acceleration due to gravity g. Is it possible to obtain dimensionally a relation for h without the experimental information that h is inversely proportional to r?

Answer 1

h=2σcos @/rρg

dimentionaly impossible as cos funtion is present

Answer 2

Answer:

h = k {T/ rdg}