Physics - Sound Wave Question with Solution | TestHub

Velocity of sound in the gas of density ${\rho }_1$ is $v_1$ and velocity of sound in the gas of density ${\rho }_2$ is $v_2$. Velocity of sound in gas, $v=\sqrt{\frac{\gamma P}{\rho }}\propto \sqrt{\frac{1}{\rho }}$. Therefore $\frac{v_1}{v_2}=\sqrt{\frac{{\rho }_2}{{\rho }_1}}=\sqrt{\frac{1}{4}}=\frac{1}{2}$.