Science The relationship between the number of decibels 3 and the intensity of a sound I in watts per square meter is given by B = 10 log10 10-12). (a) Determine the number of decibels of a sound with an intensity of 1 watt per square meter. b) Determine the number of decibels of a sound with an intensity of 10-2 watt per square meter. c) The intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 30E
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112. Science The relationship between the number of
decibels 3 and the intensity of a sound I in watts per
square meter is given by
10810 (10-12).
B = 10 log
(a) Determine the number of decibels of a sound with
an intensity of 1 watt per square meter.
(b) Determine the number of decibels of a sound with
an intensity of 10-2 watt per square meter.
(c) The intensity of the sound in part (a) is 100 times
as great as that in part (b). Is the number of
decibels 100 times as great? Explain.
Transcribed Image Text:112. Science The relationship between the number of decibels 3 and the intensity of a sound I in watts per square meter is given by 10810 (10-12). B = 10 log (a) Determine the number of decibels of a sound with an intensity of 1 watt per square meter. (b) Determine the number of decibels of a sound with an intensity of 10-2 watt per square meter. (c) The intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain.
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