Question

Excess pressure of one soap bubble is four times more than the other.Then the ratio of volume of the bubble to another one is

• A. $1:64$
• B. $1:4$
• C. $64:1$
• D. $1:2$

Answer 1

The correct option is A $1:64$

As we know,

$\Delta P=\frac{4T}{r}\Rightarrow \frac{\Delta P_1}{\Delta P_2}=4\therefore \frac{r_2}{r_1}=4$

and $\frac{V_1}{V_2}={\left(\frac{r_1}{r_2}\right)}^3=\frac{1}{64}$