Explanation Given Info : The intensity of the sound from the first and second observer Formula for the intensity of sound from first observer is, I 1 = P 4 π r 1 2 (1) P is the pressure. I 1 is the intensity of sound from the first observer. r 1 is the distance from the first observer. Formula for the intensity of sound from second observer is, I 2 = P 4 π r 2 2 (2) P is the pressure. I 2 is the intensity of sound from the second observer. r 2 is the distance from second the observer. The difference in the decibel levels for the two observers is, β 1 − β 2 = 10 log 10 ( I 1 I 0 ) − 10 log 10 ( I 2 I 0 ) β 1 and β 2 is the decibel level for the first and second observer. I 1 and I 2 is the intensity of the sound from first and second observer. I 0 is the reference intensity. Rewrite the above equation. β 1 − β 2 = 10 log 10 ( I 2 I 1 ) (3) Use equation (1) and (2) to rewrite the equation (3). β 1 − β 2 = 10 log 10 ( P 4 π r 2 2 P 4 π r 1 2 ) = 10 log 10 ( r 2 r 1 ) 2 = 20 log 10 ( r 2 r 1 ) (4) Use the equation (4) we get r 2

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

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Chapter 14, Problem 75AP

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The distance of the speaker from each observer.

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Chapter 14, Problem 74AP

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The distance of the speaker from each observer.

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