(a) Explanation Given info: The number of violins playing is 20 , the combined intensity level is 82.5 dB . The value of intensity constant is 10 − 12 W / m 2 . The intensity level of each violin is, β = 10 log 10 ( I I 0 ) (1) Here, β is the intensity level I is the intensity of each violin I 0 is the intensity constant. Substitute The 20 violin produces 20 times the intensity of sound. So, the intensity level of 20 violins is, β 20 = 10 log 10 ( 20 I I 0 ) Here, β 20 is the intensity level of 20 violins. Substitute 82.5 dB for β 20 and 10 − 12 W / m 2 for I 0 in the above equation. 82.5 dB = 10 log 10 ( 20 I 10 − 12 W / m 2 ) 82.5 10 dB = log 10 ( 20 I 10 − 12 W / m 2 ) 10 8 (b) To determine Whether the combined intensity level of 40 violins is more than, less than or equal to 165 dB .

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ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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Chapter 14, Problem 41PCE

(a)

To determine

The intensity level of each violin.

(b)

To determine

Whether the combined intensity level of 40 violins is more than, less than or equal to 165 dB .

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Chapter 14, Problem 40PCE

Chapter 14, Problem 42PCE

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Chapter 14 Solutions

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The intensity level of each violin.

Solution Summary: The author explains how the intensity level of each violin is 82.5dB.

The intensity level of each violin.

Whether the combined intensity level of 40 violins is more than, less than or equal to 165 dB .

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Chapter 14 Solutions