Physics - Sound Wave Question with Solution | TestHub

The velocity of sound in a gas is given by Newton-Laplace formula: $v=\sqrt{\frac{\gamma P}{\rho }}$, where $\gamma$ is the adiabatic index, $P$ is pressure, and $\rho$ is density. This can also be expressed as $v=\sqrt{\frac{E_a}{\rho }}$, where $E_a$ is the adiabatic elasticity. Thus, velocity is proportional to the square root of adiabatic elasticity.