Properties Of Solids And Liquids Question 327
Question: The excess pressure in a soap bubble is thrice that in other one. Then the ratio of their volume is[RPMT 2003; CPMT 2001]
Options:
A) 1 : 3
B) 1 : 9
C) 27 : 1
D) 1 : 27
Show Answer
Answer:
Correct Answer: D
Solution:
$ \Delta P\propto \frac{1}{r}\Rightarrow \frac{r _{1}}{r _{2}}=\frac{\Delta P _{2}}{\Delta P _{1}}=\frac{1}{3}\Rightarrow \frac{V _{1}}{V _{2}}={{\left( \frac{r _{1}}{r _{2}} \right)}^{3}}=\frac{1}{27} $
