Question

The excess of pressure inside a soap bubble is twice the excess pressure inside a soap bubble. The volume of the first bubble is n times the volume of the second where n is

• A. $0.125$
• B. $0.250$
• C. $1$
• D. $2$

Answer 1

The correct option is A $0.125$

Given, $\frac{4T}{r_1}=2\times \frac{4T}{r_2}$ or $r_2=2r_1$

$\frac{4}{3}\pi r_1^3$= $n\times \frac{4}{3}\pi r_2^3$ = $n\times \frac{4}{3}\pi (2r_1{)}^3$ or $n=\frac{1}{8}=0.125$