Physics - Fluid Question with Solution | TestHub

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

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

where $T$ is the surface tension, $\theta$ is the angle of contact, $\rho$ is the density of the liquid, $g$ is the acceleration due to gravity, and $r$ is the radius of the capillary tube.

For a given liquid and material of the capillary tube, $T$, $\theta$, $\rho$, and $g$ are constants. Therefore, the height $h$ is inversely proportional to the radius $r$:

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

This inverse relationship means that the graph between $h$ and $r$ is a rectangular hyperbola. Looking at the given figures, graph (ii) correctly represents this rectangular hyperbolic relation.

Answer: (ii)