Q95 / 180 · JIPMER 2019 · Physics

Find the height of liquid in capillary tube, if surface tension of liquid $=\mathrm{S}$, radius of capillary tube $=\mathrm{r}$ and acceleration due to gravity $=\mathrm{g}$.

  • Correct answer
    A
    $\frac{2 S \cos \theta}{\rho r g}$
  • B
    $\frac{2 S}{\operatorname{\rho rg} \cos \theta}$
  • C
    $\frac{2 S \sin \theta}{\rho r g}$
  • D
    None of these

Solution

Height of liquid in a capillary tube (Ascent formula) is given by $\mathrm{H}=\frac{2 S \cos \theta}{\rho \mathrm{rg}}$ where, $S=$ surface tension, $\rho=$ density of liquid, $r=$ radius of capillary and $\theta=$ angle of contact.

Hence, the correct answer is option: 'A'.

Relevant Questions