If the distance to a point source of sound is tripled, by what factor does the intensity of the sound change?
Answer & Explanation
Assuming that the sound is not facing any barriers, we can say that it is propagating through a spherical shape, we can then use the intensity of sound I formula:
Where P is the power of the sound source and is the area of a sphere.
Denoting the intensity of the sound when the distance was tripled, yields:
We now replace with
The intensity of the sound was reduced to a ninth of the original intensity.
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