Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m$$^2$$. The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m. Find the ratio $$\frac{n_B}{n_A}$$. Where $$n_A$$ and $$n_B$$ are the number of moles of air in bubbles A and B, respectively. [Neglect the effect of gravity.]