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 displacement amplitude at this point?

Answer 1

We know that $I=2{\pi }^2{S}_0^2{v}^2\rho V$ where $S_0=$ displacement amplitude
$\Rightarrow S_0=\sqrt{\frac{I}{{\pi }^2{\rho }^2\rho V_{air}}}$
Putting the value we get $S_g=1.2\times {10}^{-6}m$.