Fluid Mechanics Viscosity Question 238
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} $