The speed of sound in air v depends on the air pressure p and the air density as
A) $\nu \propto \sqrt { p \rho }$
B) $v \propto \sqrt { \frac { 1 } { p \rho } }$
C) $v \propto \sqrt { \frac { p } { \rho } }$
D) $v \propto \sqrt { \frac { \rho } { p } }$

Question

Quizplus · Accepted Answer

The speed of sound in air $v$ is directly proportional to the square root of the ratio of pressure $p$ to density $\rho$, which is mathematically represented as $v \propto \sqrt { \frac { p } { \rho } }$. This relationship is derived from the equation for the speed of sound in a medium, where the speed of sound increases with an increase in the medium's stiffness (pressure) and decreases with an increase in its density.

The Speed of Sound in Air V Depends on the Air