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} $