Answer to Question #267112 in Mechanics | Relativity for Chan

Question

If the sound intensity 4.0 m from a point sound source is 1.0 × 10⁶ Wm², what will be the sound intensity at each of the following distances from the source:

A. 1.0 m? And

B. 2.0 m?

Answer 1

$I(r) =\frac{P}{4\pi r^2}$

$I(4) = \frac{P}{64\pi }=1.0*10^6\frac{W}{m^2}$

$I(1)= \frac{P}{4\pi }=\frac{I(4)}{16}=0.625*10^5\frac{W}{m^2}$

$I(2)= \frac{P}{16\pi }=\frac{I(4)}{4}=0.25*10^6\frac{W}{m^2}$

$\text{Answer: }$

$A.\ 0.625*10^5\frac{W}{m^2}$

$B.\ 0.25*10^6\frac{W}{m^2}$