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How much more intense is a sound of 40 dB than a sound of

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

Solution for problem 6P 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 6P

How much more intense is a sound of 40 dB than a sound of 30 dB?

Step-by-Step Solution:
Step 1 of 3

Solution 6P STEP 1: The decibel (db) is a logarithmic unit, which is expressed as used to describe ratio of two values of a physical quantity. In the question, we have asked to consider the intensities of the sound waves of 40 db and 30 db. As we know that intensity of classical waves is directly proportional to the amplitude of the wave, so let’s compare the intensities. STEP 2: The power ratio of a 40 db sound wave is 10000 and the amplitude ratio is 100. The power ratio of a 30 db sound wave is 1000 and the amplitude ratio is 31.62. So, the power of 40 db sound wave is 10 times more than 30 db sound wave. And the intensity of 40 db sound wave is 100/31.62 = 3.162times more than 30 db sound wave. CONCLUSION: The 40 db sound is approximately 3 times more intense than a 30 db sound.

Step 2 of 3

Chapter 21, Problem 6P is Solved
Step 3 of 3

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

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