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}} $