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Chapter 12: Q9P (page 328)

What is the sound level of a sound whose intensity is\(1.5 \times {10^{ - 6}}\;{\rm{W/}}{{\rm{m}}^2}\)?

Short Answer

Expert verified

The level of a sound is \(61.76\;{\rm{dB}}\).

Step by step solution

01

Understanding the concept of sound level

The sound level is determined by the relation of intensity and threshold intensity of sound.

02

Given data

The intensity of the sound is \(I = 1.5 \times {10^{ - 6}}\;{\rm{W/}}{{\rm{m}}^2}\).

03

Evaluating the sound level by using a relation among intensity and threshold intensity

The standard value for the threshold intensity of sound is \(1 \times {10^{ - 12}}\;{\rm{W/}}{{\rm{m}}^2}\).

The sound level is calculated below:

\(\beta = 10\log \left( {\frac{I}{{{I_0}}}} \right)\)

Substitute the values in the above equation.

\(\begin{aligned}{c}\beta = 10\log \left( {\frac{{1.5 \times {{10}^{ - 6}}\;{\rm{W/}}{{\rm{m}}^2}}}{{1 \times {{10}^{ - 12}}\;{\rm{W/}}{{\rm{m}}^2}}}} \right)\\\beta = 61.76\;{\rm{dB}}\end{aligned}\)

Hence, the sound level is \(61.76\;{\rm{dB}}\).

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Most popular questions from this chapter

Figure 12–32 shows various positions of a child on a swing moving toward a person on the ground who is blowing a whistle. At which position, A through E, will the child hear the highest frequency for the sound of the whistle? Explain your reasoning.

What is the resultant sound level when an 81 dB sound and an 87 dB sound are heard simultaneously?

Is there a Doppler shift if the source and observer move in the same direction, with the same velocity? Explain.

The sound level near a noisy air conditioner is 70 dB. If two such units operate side by side, the sound level near them would be

(a) 70 dB.

(b) 73 dB.

(c) 105 dB.

(d) 140 dB.

The voice of a person who has inhaled helium sounds very high-pitched. Why?
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