Question

A source radiates sounds of 1000 Hz and 2000 Hz uniformly in all directions. At a distance of 100m from the source the intensity at both frequencies is the same. It follows that the pressure amplitude of the 1000-Hz sound at the distance of 100m from the source is the same as that of the 2000-Hz sound at a distance of?

Answer 1

For sound waves the intensity is defined as

$I=\frac{1}{2}\rho A^2\omega ^2v$ or $I=\frac{(\Delta p_0)^2}{2\rho v}$

if $I_{1000}=I_{2000}$ $\to$ $\Delta p_{1000}=\Delta p_{2000}$.

Yes. The pressure amplitude of the 1000-Hz sound at the distance of 100m from the source is the same as that of the 2000-Hz sound at the same distance.