   Chapter 14, Problem 2CQ

Chapter
Section
Textbook Problem

When dealing with sound intensities and decibel levels, a convenient approximation (accurate to 2 significant figures) is: For every doubling of the intensity, the decibel level increases by 3.0. Suppose the sound level at some location is 85 dB. Find the decibel levels if the sound intensity is increased by factors of (a) 2.0, (b) 4.0, (c) 8.0, and (d) 16.

(a)

To determine
The decibel levels if the sound intensity is increased by a factor 2.0.

Explanation

Given Info: For an increase of sound intensity by a factor 2n , the corresponding increase in the decibel level is (3.0dB)n .

Here, n is the increase factor.

The factor 2.0=21 .

Formula to find the decibel level when the sound intensity is increased is,

βn=85dB+(3.0dB)n

• βn is the decibel level

(b)

To determine
The decibel levels if the sound intensity is increased by a factor 4.0.

(c)

To determine

To determine: The decibel levels if the sound intensity is increased by a factor 8.0.

(d)

To determine
The decibel levels if the sound intensity is increased by a factor 16.

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