The excess pressure of bubble X is 4 times the excess pressure of bubble Y. Then the ratio of their volumes Vx/Vy is 4:1
1:64
64:1
1:32
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Given - Excess pressure of bubble X is 4 times the excess pressure of bubble Y.
Find - The ratio of their volumes Vx/Vy
Solution - In case of soap bubble, excess pressure is 4T/R while in case of air bubble, excess pressure is 2T/R.
In both the cases, excess pressure is inversely proportional to radius.
Thus, Px/Py = 4 and hence Ry/Rx = 4.
Now, volume is directly proportional to R³.
Therefore, Vx/Vy = (Rx/Ry)³ = (1/4)³ = 1/64.
Hence, 1:64 is the correct answer.
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