Question

A container contains two immiscible liquids of density ${\rho }_1$ and ${\rho }_2({\rho }_2>{\rho }_1)$. A capillary of radius $r$ is inserted in the liquid so that its bottom reaches up to denser liquid. Denser liquid rises in capillary and attains height equal to $h$ which is also equal to column length of lighter liquid. Assuming zero contact angle find the surface tension of the heavier liquid.

• A. $\frac{r{\rho }_{2}gh}{2}$
• B. $2\pi r{\rho }_{2}gh$
• C. $\frac{r}{2}({\rho }_2-{\rho }_1)gh$
• D. $2\pi r({\rho }_2-{\rho }_1)gh$

Answer 1

The correct option is C $\frac{r}{2}({\rho }_2-{\rho }_1)gh$