Chapter 19, Problem 19.32E

The previous exercise gives an expression for ${\nu }_{\text{sound}}$, the speed of sound in a gas. Determine the ratios ${\nu }_{\text{sound}}/{\nu }_{\text{rms}}$, ${\nu }_{\text{sound}}/{\nu }_{\text{most}\text{prob}}$, and ${\nu }_{\text{sound}}/\bar{\nu }$. Which, if any, of these ratios is less than one? What are the physical interpretations of these ratios?