Using dimensional analysis derive an expression for the height (h) to which a liquid of density (rho) and surface tension - Physics - Units And Measurements

Question

Using dimensional analysis derive an expression for the height (h)
to which a liquid of density (rho) and surface tension (S) will
rise in a capillary tube of radius(r) Given acceleration due to
gravity is g and h is directly proportional to 1/r

Ashish Marandi · Accepted Answer

Using dimensional analysis derive an expression for the height (h) to which a liquid of density (rho) and surface tension (S) will rise in a capillary tube of radius(r). Given acceleration due to gravity is g and h is directly proportional to 1/r.