A) 1 : 64
B) 1 : 4
C) 64 : 1
D) 1 : 2
Correct Answer: A
Solution :
\[\Delta P=\frac{4T}{r}\ \Rightarrow \frac{\Delta {{P}_{1}}}{\Delta {{P}_{2}}}=4\]\[\therefore \ \frac{{{r}_{2}}}{{{r}_{1}}}=4\] and \[\frac{{{V}_{1}}}{{{V}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3}}=\frac{1}{64}\]
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