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A giant chorus of 1000 vocalists is singing the same note. Suddenly, 999 vocalists stop,leaving one soloist. By how many decibels does the sound intensity level decrease? Explain.

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Numenius

Answer:

The decrease in decibels is 0.1 dB.

Explanation:

Let the intensity of one chorus is Io.

let the intensity of 1000 vocalist is dB.

The intensity of 1000 vocalist is 1000 Io.

[tex]dB = 10log\frac{1000Io}{Io}=30[/tex]..... (1)

let the intensity of 999 vocalist is dB'.

[tex]dB' = 10log\frac{999Io}{Io}=29.9[/tex]..... (2)

So, the change is

= dB - dB' = 30 - 29.9 = 0.1 dB

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