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How Sound Intensity Varies with Distance from the Source

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A point source of sound that emits uniformly in all directions is located in the middle of a large, open field. The intensity at Brittany's location directly north of the source is twice that at Phillip's position due east of the source. What is the distance between Brittany and Phillip if Brittany is 10.0 m from the source?

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Solution Summary

The solution explains ideas of the relationship of sound intensity and distance according to the question of two people standing at different distances from the source and what intensity they would hear. It is not purely theoretical however, and also uses these ideas to reach a quantifiable answer.

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The mathematical relationship between intensity and distance is sometimes referred to as an inverse square relationship. As the intensity varies inversely with the square of the distance from the source. So if the distance from the source is doubled ...

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