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. $\sqrt{\frac{p}{\rho }}$

Answer 1

Answer: (C)

$\sqrt{\frac{\rho }{p}}$

Answer 2

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