PROVE: Inverse Square Law for Sound A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d?. (a) Use this model and the equation B = 10 log (described in this section) to show that the decibel levels Bị and B, at distances di and d, from a sound source are related by the equation B, = B, + 20 log dz (b) The intensity level at a rock concert is 120 dB at a dis- tance 2 m from the speakers. Find the intensity level at a distance of 10 m.

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Chapter1: Units, Trigonometry. And Vectors
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PROVE: Inverse Square Law for Sound A law of physics
states that the intensity of sound is inversely proportional to
the square of the distance d from the source: I = k/d?.
(a) Use this model and the equation
B = 10 log
(described in this section) to show that the decibel levels
Bị and B, at distances di and d, from a sound source are
related by the equation
B, = B, + 20 log
dz
(b) The intensity level at a rock concert is 120 dB at a dis-
tance 2 m from the speakers. Find the intensity level at a
distance of 10 m.
Transcribed Image Text:PROVE: Inverse Square Law for Sound A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d?. (a) Use this model and the equation B = 10 log (described in this section) to show that the decibel levels Bị and B, at distances di and d, from a sound source are related by the equation B, = B, + 20 log dz (b) The intensity level at a rock concert is 120 dB at a dis- tance 2 m from the speakers. Find the intensity level at a distance of 10 m.
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