Wave Mechanics Question 819
At what temperature is the velocity of sound double that of at 0°C
[RPMT 1999]
Options:
A) 819 K
B) 819°C
C) 600°C
D) 600 K
Show Answer
Answer:
Correct Answer: B
Solution:
$ v\propto \sqrt{T} $
Therefore $ \frac{v _{2}}{v _{1}}=\sqrt{\frac{T _{2}}{T _{1}}} $
Therefore $ 2=\sqrt{\frac{T _{2}}{(273+273)}} $
$ \Rightarrow $ $ T _{2}=273\times 4=1092,K=1092-273=819^{o}C $