Wave Mechanics Question 75
Question: $ v _{1} $ and $ v _{2} $ are the velocities of sound at the same temperature in two monoatomic gases of densities $ {\rho _{1}} $ and $ {\rho _{2}} $ respectively. If $ {\rho _{1}}/{\rho _{2}}=\frac{1}{4} $ then the ratio of velocities $ v _{1} $ and $ v _{2} $ will be
[KCET 2000; AIIMS 2002; AFMC 2002]
Options:
A) 1 : 2
B) 4 : 1
C) 2 : 1
D) 1 : 4
Show Answer
Answer:
Correct Answer: C
Solution:
At given temperature and pressure $ v\propto \frac{1}{\sqrt{\rho }} $
Therefore $ \frac{v _{1}}{v _{2}}=\sqrt{\frac{{\rho _{2}}}{{\rho _{1}}}}=\sqrt{\frac{4}{1}}=2:1 $
BETA
