$v_{1}$ 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

Question

Dr. Abubacker · Accepted Answer

(c) At given temperature and pressure
$v \propto \frac{1}{\sqrt{\rho}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{\rho_{2}}{\rho_{1}}} = \sqrt{\frac{4}{1}} = 2\ :1$

Q. $v_{1}$ 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

Explanation

Reviewed by Dr. Abubacker

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