Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 12, Problem 91GP
To determine

The factor by which the dispalacement amplitude varies.

Expert Solution & Answer
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Answer to Problem 91GP

  106

Explanation of Solution

Given:

The intensity at threshold frequency of the human ear, I0=1012W/m2

The intensity of threshold of pain, I=1W/m2

Formula used:

The intensity of the sound wave is given as:

  I=2π2νρf2A2

Considering the product of constant parameters in the above expression as k .

Thus,

  I=k(fA)2

Here, f is the frequency of the sound wave.

  A is the amplitude of the sound wave.

  ρ is the density of the medium.

  v is the velocity of the sound wave.

Calculation:

Substitute the given values:

   I 0 =k (f A 0 ) 2 I f =k (f A f ) 2 I0If=A02Af210121=(A0Af)2(A0Af)=1012/2=106(AfA0)=106

Conclusion:

The amplitude will increase by a factor 106 .

Chapter 12 Solutions

Physics: Principles with Applications

Ch. 12 - Prob. 11QCh. 12 - Prob. 12QCh. 12 - Traditional methods of protecting the hearing of...Ch. 12 - 14- Consider the two waves shown in Fig....Ch. 12 - Is there a Doppler shift if the source and...Ch. 12 - Prob. 16QCh. 12 - Prob. 17QCh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - (a) Calculate the wavelengths in air at 20°C for...Ch. 12 - Prob. 4PCh. 12 - What is the intensity of a sound at the pain level...Ch. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - What is the sound level of a sound whose intensity...Ch. 12 - At a rock concert, a dB meter registered 130 dB...Ch. 12 - Prob. 10PCh. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 43PCh. 12 - Prob. 44PCh. 12 - Prob. 45PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 55PCh. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61PCh. 12 - Prob. 62PCh. 12 - Prob. 63PCh. 12 - Prob. 64PCh. 12 - Prob. 65GPCh. 12 - Prob. 66GPCh. 12 - Prob. 67GPCh. 12 - Prob. 68GPCh. 12 - Prob. 69GPCh. 12 - Prob. 70GPCh. 12 - Prob. 71GPCh. 12 - Prob. 72GPCh. 12 - Prob. 73GPCh. 12 - Prob. 74GPCh. 12 - Prob. 75GPCh. 12 - Prob. 76GPCh. 12 - Prob. 77GPCh. 12 - Prob. 78GPCh. 12 - Prob. 79GPCh. 12 - Prob. 80GPCh. 12 - Prob. 81GPCh. 12 - Prob. 82GPCh. 12 - Prob. 83GPCh. 12 - Prob. 84GPCh. 12 - Prob. 85GPCh. 12 - Prob. 86GPCh. 12 - Prob. 87GPCh. 12 - Prob. 88GPCh. 12 - Prob. 89GPCh. 12 - Prob. 90GPCh. 12 - Prob. 91GPCh. 12 - Prob. 92GPCh. 12 - Prob. 93GP
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