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If two values are within 0.1dB from each other, consider them to be the same. 100 buzzers each producing a sound with intensity level of 70 dB is

User Mikebader
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Final answer:

The intensity level resulting from 100 buzzers each at 70 dB will not be a simple sum but will be calculated using the logarithmic nature of the decibel scale, where doubling of intensity results in a 3 dB increase.

Step-by-step explanation:

When 100 buzzers are each producing a sound with an intensity level of 70 dB, the resulting intensity level will not simply be the sum (7000 dB) due to the logarithmic nature of the decibel scale. Instead, the increase in intensity level can be calculated using principles of sound intensity and decibel levels. To determine the total intensity level produced by the 100 buzzers, one must apply the formula for combining decibel levels of multiple sources. This calculation involves converting the decibel levels to their corresponding powers, summing them up, and then converting back to decibels. However, since the exact formula and detailed calculation are not given here, we cannot provide the specific combined intensity level. It is worth noting that each doubling of sound sources results in an increase of about 3 dB. Thus, if two sounds are 3 dB apart, like 73 dB and 70 dB, the difference would be easily noticed, as one sound must be twice as intense as the other for such a change.

User Achempion
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