Question

The speed of sound in a gas of density $\rho$ at a pressure $P$ is proportional to

• A. ${\left(\frac{p}{\rho }\right)}^2$
• B. ${\left(\frac{p}{\rho }\right)}^{\frac{3}{2}}$
• C. $\sqrt{\frac{\rho }{p}}$
• D. $\sqrt{\frac{p}{\rho }}$
• E. ${\left(\frac{\rho }{p}\right)}^2$

Answer 1

Answer: (C)

We knows $c=\sqrt{\frac{\gamma p}{\rho }}$ Hence, $c={\left(\frac{p}{\rho }\right)}^{1/2}$