First slide
Surface tension
Question

A capillary of the shape as shown is dipped in a liquid. Contact angle between the liquid and the capillary is 0° and effect of liquid inside the meniscus is to be neglected. T is surface tension of the liquid, r is radius of the meniscus, g is acceleration due to gravity and ρ is density of the liquid then height h in equilibrium is:

Moderate
Solution

2πr.T = πr2.ρgh1 h1 = 2Trρg

but weight of liquid in tapered tube is more than uniform tube of radius r, then in order to balance h<h1

h<2Trρg

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