Physics - Fluid Question with Solution | TestHub

The height $h$ of the liquid column in a capillary tube of radius $r$ is given by Jurin's law:

$h=\frac{2T\cos \theta }{\rho gr}$

For a given liquid and tube material, the surface tension $T$, angle of contact $\theta$, density $\rho$, and acceleration due to gravity $g$ are constants.

Therefore, $h\propto \frac{1}{r}$

$hr=\text{constant}$

For different capillary tubes, $h_n{r}_n=\text{constant}$.

Answer: $h_n{r}_n=\text{constant}$