First slide

Surface tension and surface energy

Question

Two capillary tubes of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of heights through which liquid will rise in the tubes is

Moderate

A

1 : 2
B

2 : 1
C

1 : 4
D

4 : 1

Solution

$h \propto \frac{1}{r} ∴ r_{1} h_{1} = r_{2} h_{2} \Rightarrow \frac{h_{1}}{h_{2}} = \frac{r_{2}}{r_{1}} = \frac{0 .4}{0 .2} = 2 : 1$

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