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Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure \( 8 \mathrm{~N} / \mathrm{m}^{2} \). The radii of bubbles \( A \) and \( B \) are \( 2 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \), respectively.Surface tension of the soap-water used to make bubbles is \( 0.04 \mathrm{~N} / \mathrm{m} \). Find the ratio \( n_{B} / n_{A} \), where \( n_{A} \) and \( n_{B} \) are the number of moles of air in bubbles A and B, respectively. [Neglect the effect of gravity]
(a) 2
(b) 9
(c) 8
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