A) \[\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]
B) \[\sqrt{\frac{{{m}_{2}}}{{{m}_{1}}}}\]
C) \[\frac{{{m}_{1}}}{{{m}_{2}}}\]
D) \[\frac{{{m}_{2}}}{{{m}_{1}}}\]
Correct Answer: B
Solution :
Speed of sound in gases is given by \[v=\sqrt{\frac{\gamma RT}{M}}\Rightarrow v\propto \frac{1}{\sqrt{M}}\]Þ \[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{m}_{2}}}{{{m}_{1}}}}\]
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