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Question: Two capillaries made of same material but of different radii are dipped in a liquid. The rise of liq...

Two capillaries made of same material but of different radii are dipped in a liquid. The rise of liquid in one capillary is 2.2cm and that in the other is 6.6cm. The ratio of their radii is

A

9 : 1

B

1 : 9

C

3 : 1

D

1 : 3

Answer

3 : 1

Explanation

Solution

As h1rh \propto \frac{1}{r} h1h2=r2r1\therefore\frac{h_{1}}{h_{2}} = \frac{r_{2}}{r_{1}} or r1r2=h2h1=6.62.2=31\frac{r_{1}}{r_{2}} = \frac{h_{2}}{h_{1}} = \frac{6.6}{2.2} = \frac{3}{1}SS