The excess of pressure inside a soap bubble is twice the excess of pressure inside another soap bubble. The volume of first bubble is ‘n’ times the volume of second bubble. The value of ‘ n ‘ must be
A. 0.125
B. 0.25
C. 2
D. 0.5
The excess of pressure inside a soap bubble is twice the excess of pressure inside another soap bubble. The volume of first bubble is ‘n’ times the volume of second bubble. The value of ‘ n ‘ must be
A. 0.125
B. 0.25
C. 2
D. 0.5

Correct answer is A.

Given,
\frac{4 \mathrm{~T}}{\mathrm{r}_{1}}=2 \times \frac{4 \mathrm{~T}}{\mathrm{r}_{2}} or \mathrm{r}_{2}=2 \mathrm{r}_{1}
\frac{4}{3} \pi \mathrm{r}_{1}^{3}=\mathrm{n} \times \frac{4}{3} \pi \mathrm{r}_{2}^{3}=\mathrm{n} \times \frac{4}{3} \pi\left(2 \mathrm{r}_{1}\right)^{3} or \mathrm{n}=\frac{1}{8}=0.125