If a person speaks with an intensity of 0.701 μ W/m2, what is the sound intensity level in decibels?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Because the human ear is so sensitive to sounds, it can detect very small intensities.  The lower intensity that a human can hear (which is represented with the symbol I0

) is about 1x10-12 W/m2. However, a loud music venue may have sounds that are near 1.0 W/m2 (though sound as this intensity would cause permanent damage to your ears).  Because the human ear can detect frequencies over such a large range of intensities, more often a sound intensity level is used.  This level is defined as:

β=10⋅log10II0

 

and the unit is dB which stands for deci-bels (or just decibels).  If a person speaks with an intensity of 0.701 μ

W/m2, what is the sound intensity level in decibels?  Note: In the space below, please enter you numerical answer.  Do not enter any units.  If you enter units, your answer will be marked as incorrect.

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