What change in the decibel value describing the intensity of sound is represented by a factor of 16 decrease in intensity due to attenuation in tissue?Group of answer choices-12 dB-160 dB12 dB-16 dB
Question
What change in the decibel value describing the intensity of sound is represented by a factor of 16 decrease in intensity due to attenuation in tissue?Group of answer choices-12 dB-160 dB12 dB-16 dB
Solution
The decibel (dB) scale is a logarithmic scale used to describe ratios of quantities like sound intensity. A decrease in intensity by a factor of 16 corresponds to a decrease in decibel value.
The formula to calculate decibel change is:
dB = 10 * log10(I1/I2)
where I1 and I2 are the initial and final intensities respectively.
If the intensity decreases by a factor of 16, then I1/I2 = 16.
Substituting this into the formula gives:
dB = 10 * log10(16) = 10 * 1.2 = 12 dB
However, because the intensity decreased, this is a decrease of 12 dB. So, the answer is -12 dB.
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