Question

What is the effect of change of pressure upon the velocity of sound?

Answer 1

Factors affecting sound:

1. The factors affecting the velocity of sound are temperature, the density of air, type of medium, and velocity of the wind.
2. In a gas the velocity of sound is calculated by:
3. $$\begin{gathered} V=\sqrt{\frac{\gamma P}{d}} \\ where\gamma iscons\tan tforagas \\ Pisthepressureofthemedium \\ disthedensityofthemedium \end{gathered}$$
4. Here we see that velocity is directly proportional to the pressure but as pressure varies so does the density, hence the ratio $\raisebox{1ex}{$P$}\!\left/ \!\raisebox{-1ex}{$d$}\right.$ remains constant. Thus pressure doesn't affect the velocity of the sound.

Hence, the change of pressure doesn't affect the velocity of sound.