1. Tardigrade
  2. Question
  3. Physics
  4. The excess pressure inside one soap bubble is three times that inside a second soap bubble, then the ratio of their surface areas is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The excess pressure inside one soap bubble is three times that inside a second soap bubble, then the ratio of their surface areas is

KEAMKEAM 2008Mechanical Properties of Fluids

Solution:

Accordingly $ \frac{4T}{{{r}_{1}}}=3\times \frac{4T}{{{r}_{2}}} $
$ \Rightarrow $ $ \frac{{{r}_{1}}}{{{r}_{2}}}=\frac{1}{3} $
Ratio of surface areas
$ \frac{{{A}_{1}}}{{{A}_{2}}}=\frac{4\pi r_{1}^{2}}{4\pi r_{2}^{2}}=\frac{1}{9} $