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How much more intense than the threshold of hearing is a

Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt ISBN: 9780321909107 29

Solution for problem 4P Chapter 21

Conceptual Physics | 12th Edition

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Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt

Conceptual Physics | 12th Edition

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Problem 4P

How much more intense than the threshold of hearing is a sound of 10 dB? 30 dB? 60 dB?

Step-by-Step Solution:
Step 1 of 3

Stp 1 of 4 The scale for measuring intensity is the decibel scale. The threshold of hearing is assigned a sound level of 0 decibels (abbreviated as dB); this sound corresponds to an intensity of 1× 10 12 W/m 2 I We have relation dB= 10 log ( I0) Stp 2 of 4 If dB=10 I 10= 10 log ( 1012) I=10 11 W/m 2 A sound that is 10 times more intense ( 1× 10 11 W/m ) is assigned a sound level of 10 dB. Stp 3 of 4 A sound that is 1000 times more intense ( 1× 10 9 W/m ) is assigned a sound level of 30 dB. Stp 4 of 4 A sound that is 1000000 times more intense ( 1× 10 6 W/m ) is assigned a sound level of 60 dB.

Step 2 of 3

Chapter 21, Problem 4P is Solved
Step 3 of 3

Textbook: Conceptual Physics
Edition: 12
Author: Paul G. Hewitt
ISBN: 9780321909107

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