Wave Mechanics Question 831
Question: When the temperature of an ideal gas is increased by 600 K, the velocity of sound in the gas becomes $ \sqrt{3} $ times the initial velocity in it. The initial temperature of the gas is
[EAMCET (Med.) 2000]
Options:
A) $ -73^{o}C $
B) $ 27^{o}C $
C) $ 127^{o}C $
D) $ 327^{o}C $
Show Answer
Answer:
Correct Answer: B
Solution:
By using $ v=\sqrt{\frac{\gamma RT}{M}}\Rightarrow v\propto \sqrt{T} $
$ \frac{v _{2}}{v _{1}}=\sqrt{\frac{T _{2}}{T _{1}}}=\sqrt{\frac{T+600}{T}}=\sqrt{3}\Rightarrow T=300,K,=27^{o}C $
BETA
