Due to surface tension, the excess pressure inside a smaller drop is 9 units. If 27 smaller drops of same liquid combine then the excess pressure inside the bigger drop is

Question

Aicharya · Accepted Answer

Excess pressure Or Pressure jump $=2\left(\frac{\sigma}{r}ight)=9$ units If 27 such drops combine, total volume is: $\mathrm{V}_{\mathrm{B}}=27 \mathrm{~V}_{\mathrm{S}}$ Using volume conservation: $\begin{aligned} & \frac{4}{3} \pi \mathrm{R}^3=27\left(\frac{4}{3} \pi \mathrm{R}^3ight) \ & \Rightarrow \mathrm{R}=(3 \mathrm{r}) \ & 	herefore 	ext { Excess pressure }=\frac{2 \sigma}{\mathrm{R}}=\frac{2 \sigma}{3 \mathrm{r}}=3 	ext { units } \end{aligned}$

Due to surface tension, the excess pressure inside a smaller drop is 9 units. If 27 smaller drops of same…

Solution