Answer to Question #104955 in Physics for Mikayla

Question

The intensity of a certain siren is 0.060W/m^2 from a distance of 25 meters. What is the intensity of this siren at a distance of 50 meters? Answer in W/m^2

Answer 1

The intensity of sound is inversely proportional to the square of distance between source and the observer.

$$\frac{I_2}{I_1}=\frac{r_1^2}{r_2^2}=\frac{25^2}{50^2}=0.25$$

$$I_2=0.25I_1=0.25(0.06)=0.015\frac{W}{m^2}$$