A) 1 : 4
B) 4 : 1
C) 1 : 2
D) 2 : 1
Correct Answer: C
Solution :
Pressure in the first soap bubble \[({{P}_{1}})=2P\] and pressure in the second bubble \[({{P}_{2}})=P\]from the formula pressure in the bubble \[P=\frac{2T}{R}\] \[\Rightarrow \] \[P\propto \frac{1}{R}\] Hence \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\] or \[\frac{2P}{P}=\frac{{{R}_{2}}}{{{R}_{1}}}\] or \[{{R}_{2}}=\frac{2P}{P}{{R}_{1}}=2{{R}_{1}}\] or \[{{R}_{1}}:{{R}_{2}}=1:2\]
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