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 0.729 μ W/m2, what is the sound intensity level in decibels?
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 0.729 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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