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Question

Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8N/m2. 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 nB/nA, where nA and nB are the number of moles of air in bubbles A and B, respectively.
Given that for a gas, the relation between number of moles and pressure and volume is PV = kn, where k is constant at a particular temperature.
(IIT-JEE-2009)
[Neglect the effect of gravity.]

A
6
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B
7
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C
8
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D
9
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Solution

The correct option is A 6
PA=P0+4TRA=16N/m2
PB=P0+4TRB=12N/m2;nBnA=PBPA(RBRA)3=6

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