A) 1 : 2
B) 1 : 4
C) 1 : 8
D) 1 : 16
Correct Answer: C
Solution :
Excess pressure inside the bubble is \[p=\frac{4T}{r}\] Here, \[{{p}_{A}}=2{{p}_{B}}\] \[\frac{{{p}_{A}}}{{{p}_{B}}}=\frac{{{r}_{B}}}{{{r}_{A}}}\] So, radius of bubble \[B\] is\[{{r}_{B}}=2\] Ratio of volumes \[\frac{{{V}_{A}}}{{{V}_{B}}}={{\left( \frac{{{r}_{A}}}{{{r}_{B}}} \right)}^{3}}={{\left( \frac{1}{2} \right)}^{3}}\] \[\frac{{{V}_{A}}}{{{V}_{B}}}=\frac{1}{8}\]
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