wave_mechanics basics_of_mechanical_waves Question 50
Question: If at same temperature and pressure, the densities for two diatomic gases are respectively $ d _{1} $ and $ d _{2} $ , then the ratio of velocities of sound in these gases will be
[CPMT 2001]
Options:
A) $ \sqrt{\frac{d _{2}}{d _{1}}} $
B) $ \sqrt{\frac{d _{1}}{d _{2}}} $
C) $ d _{1}d _{2} $
D) $ \sqrt{d _{1}d _{2}} $
Show Answer
Answer:
Correct Answer: A
Solution:
Speed of sound $ v=\sqrt{\frac{\gamma P}{d}} $
Therefore $ \frac{v _{1}}{v _{2}}=\sqrt{\frac{d _{2}}{d _{1}}} $ ($ \because P\text{-} $ constant)
BETA
