A) \[1:4\]
B) \[4:1\]
C) \[16:1\]
D) \[1:16\]
Correct Answer: B
Solution :
Radius of first bubble \[{{r}_{1}}=R\] radius of second bubble\[{{r}_{2}}=2R\] The pressure of the soap bubble is \[P=\frac{4T}{R}\Rightarrow P\propto \frac{1}{R}\] Hence, \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}=\frac{4R}{R}=4:1\] \[{{P}_{1}}:{{P}_{2}}=4:1\]
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