Properties Of Solids And Liquids Question 317
Question: Excess pressure of one soap bubble is four times more than the other. Then the ratio of volume of first bubble to another one is[CPMT 1997; MH CET 2000]
Options:
A) 1 : 64
B)1 : 4
C) 64 : 1
D)1 : 2
Show Answer
Answer:
Correct Answer: A
Solution:
$ \Delta P=\frac{4T}{r}\ \Rightarrow \frac{\Delta P _{1}}{\Delta P _{2}}=4 $
$ \therefore \ \frac{r _{2}}{r _{1}}=4 $ and $ \frac{V _{1}}{V _{2}}={{\left( \frac{r _{1}}{r _{2}} \right)}^{3}}=\frac{1}{64} $
