Question

The resonant frequency of a closed air column is known to depend on the pressure and density of the air and length of the air column. How do these quantities relate?

Answer 1

The resonant frequency F of a closed air column:

$f=\frac{V_s}{4l}$

We know that

$V_s=\sqrt\frac{E}{\rho}$

Now we can written as

$f=\frac{1}{4l}\times\sqrt{\frac{E}{\rho}}$

L = length of air colume