First slide

Surface tension

Question

A capillary tube of radius r is immersed in a liquid. The liquid rises to a height h. The corresponding mass is m. What mass of water shall rise in the capillary if the radius
of the tube is doubled?

Moderate

A

m
B

2m
C

3m
D

4m

Solution

Mass of liquid which rises in the capillary,
$m = ({πr}^{2}) hρ = {πr}^{2} \times \frac{2 σcosθ}{rρg} \times ρ or m \propto r$
Clearly, if the radius is doubled, the mass is doubled.

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