A) \[484\text{ }m{{s}^{-1}}\]
B) \[418\text{ }m{{s}^{-1}}\]
C) \[248\text{ }m{{s}^{-1}}\]
D) \[382\text{ }m{{s}^{-1}}\]
Correct Answer: A
Solution :
[a] Velocity of sound in a gas is \[v\sqrt{\frac{\gamma P}{\rho }};\] rms speed \[C=\sqrt{\frac{3P}{\rho }}\] Dividing \[\frac{C}{v}=\sqrt{\frac{3}{\gamma }}\Rightarrow C=v\sqrt{\frac{3}{\gamma }}\] \[=332\times \sqrt{\frac{3}{1.41}}=484m/s\]
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