Question

A liquid A and a suitably prepared mixture solution B have the same values of surface tension but their densities are in the ratio of 2:3. Two capillary tubes having diameters in the ratio 5: 4 are dipped in two containers of A and B respectively. If the angle of contact can be taken as zero for both cases then the heights to which the liquids will rise are in the ratio:

• A. 6:5
• B. 5: 6
• C. 15:8
• D. 8:15

Answer 1

Answer: (A)

6:5

We know that height to which liquid will rise is given by $h=\frac{2T}{r\rho g}$

So $\frac{h_1}{h_2}=\frac{r_2{\rho }_2}{r_1{\rho }_1}$

So $\frac{h_1}{h_2}=\frac{3\times 4}{2\times 5}=\frac{6}{5}$