   Chapter 14, Problem 11P

Chapter
Section
Textbook Problem

The mating call of a male cicada is among the loudest noises in the insect world, reaching decibel levels of 105 dB at a distance of 1.00 m from the insect. (a) Calculate the corresponding sound intensity. (b) Calculate the sound intensity at a distance of 20.0 m from the insect, assuming the sound propagates as a spherical wave. (c) Calculate the decibel level at a distance of 20.0 m from 100 male cicadas each producing the same sound intensity.

(a)

To determine
The sound intensity at a distance of 1m

Explanation

Given Info: The intensity level of sound is 105 dB and reference intensity is 1.00×1012W/m2 1.00×1012W/m2

Formula for intensity level of a sound,

β=10log(II0)

• I0 is reference intensity.
• I is the intensity of a sound.

Rearrange the expression in terms of I .

I=I010β10

Substitute 105 dB for β and 1.00×1012W/m2 for   I0 in the above expression to get I

(b)

To determine
sound intensity at a distance of 20 m.

(C)

To determine
The sound intensity level at a distance of 20 m from 100male cicadas.

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