Question

A source of sound operates at $2.0kHz20W$ emitting sound uniformly in all directions. The speed of sound in air is $340m/s$ and the density of air is $1.2$ $kg/m^3$.
What will be the pressure amplitude at this point?

Answer 1

We know that $I=\frac{P_0^2}{2\rho V_{air}}$

$\Rightarrow p=\sqrt{1\times 2\rho V_{air}}$

$p=\sqrt{2\times 1.2\times 340\times 44\times {10}^{-3}}=6.0N/m^2$.