   Chapter 14, Problem 3CQ

Chapter
Section
Textbook Problem

Fill in the blanks with the correct values (to two significant figures), assuming sound propagates as a spherical wave. If the intensity of a sound is I0 at a given location, and then the distance to the sound source is doubled, the intensity decreases to (a) _______ I0 and the decibel level decreases by (b) _______ dB.

(a)

To determine
The intensity of sound wave when the distance to the sound source is double.

Explanation

Given Info: The intensity of a sound at a given location is I0 .

Formula to calculate the intensity of sound wave is,

I=Pav4πr2

• I is intensity of the sound wave.
• Pav is the average power of the sound source.
• r is the distance between the source and the point where the intensity is measured.

The distance between the source and the point where the intensity is measured is the radius of the spherically propagating wave.

The distance to the sound source is doubled.

Substitute 2r for r in the above expression to find I

(b)

To determine
The decibel level of sound wave when the distance to the sound source is doubled.

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