When a pin is dropped onto a surface, the sound is approximately 11 decibels. How many times greater than the threshold sound level is the sound of a pin drop? Round to the nearest whole number.
Question
When a pin is dropped onto a surface, the sound is approximately 11 decibels. How many times greater than the threshold sound level is the sound of a pin drop? Round to the nearest whole number.
Solution
The threshold of hearing is typically set at 0 decibels. Decibels (dB) are a logarithmic unit, which means that an increase of 10 dB corresponds to a 10-fold increase in intensity.
So, if the sound of a pin dropping is 11 dB, we can calculate how many times greater this is than the threshold level by using the formula:
10^(dB/10) = Intensity
Substituting 11 dB into the formula gives:
10^(11/10) = 12.589254117941675
Rounding to the nearest whole number, the sound of a pin drop is approximately 13 times greater than the threshold sound level.
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