= 24.9968708262...,...or 25 decibels. Considering that prolonged exposure to sounds above 85 decibels can cause nearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has n intensity of about I rotection when relaxing at the rifle range? (2.5 x1013)Io, should you follow the rules and wear ear !!

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter17: Physics Of Hearing
Section: Chapter Questions
Problem 11CQ: Why can a hearing test show that your threshold of hearing is 0 dB at 250 Hz, when Figure 17.37...
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Answer the problem below by applying the concept and properties of logarithmic functions

Loudness is measured in decibels. The formula for the loudness of a sound
loglog I,
is given by "dB = 10
Io
where Io is the intensity of "threshold sound", or sound
%3D
that can barely be perceived. Other sounds are defined in terms of how many times
more intense they are than threshold sound. For instance, a cat's purr is
about 316 times as intense as threshold sound, for a decibel rating of:
dB
loglog I
10
%3D
lo
10 oglog (316 Io)
Io
%3D
= 10log[ 316 ]
= 24.9968708262...,...or 25 decibels.
Considering that prolonged exposure to sounds above 85 decibels can cause
hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has
%3D
an intensity of about I
protection when relaxing at the rifle range?
(2.5 x1013)Io, should you follow the rules and wear ear
%3D
Transcribed Image Text:Loudness is measured in decibels. The formula for the loudness of a sound loglog I, is given by "dB = 10 Io where Io is the intensity of "threshold sound", or sound %3D that can barely be perceived. Other sounds are defined in terms of how many times more intense they are than threshold sound. For instance, a cat's purr is about 316 times as intense as threshold sound, for a decibel rating of: dB loglog I 10 %3D lo 10 oglog (316 Io) Io %3D = 10log[ 316 ] = 24.9968708262...,...or 25 decibels. Considering that prolonged exposure to sounds above 85 decibels can cause hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has %3D an intensity of about I protection when relaxing at the rifle range? (2.5 x1013)Io, should you follow the rules and wear ear %3D
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