A) \[16:1\]
B) \[1:16\]
C) \[4:1\]
D) \[1:4\]
Correct Answer: D
Solution :
Key Idea: Oxygen and hydrogen both are diatomic gases. According to Laplace, the speed of sound in gas is given by \[v=\frac{\sqrt{\gamma RT}}{M},\]where y is ratio of specific heats, M the molecular weight, R the gas constant and T the temperature. \[\therefore \] \[\frac{{{v}_{O}}}{{{v}_{H}}}=\sqrt{\frac{{{M}_{H}}}{{{M}_{O}}}}\] \[\therefore \] \[\frac{{{v}_{O}}}{{{v}_{H}}}=\sqrt{\frac{1}{16}}=\frac{1}{4}\] \[\therefore \] \[{{v}_{O}}:{{v}_{H}}=1:4\]
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