Question

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.

Answer 1

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.

$dB = 10log\frac{1000Io}{Io}=30$..... (1)

let the intensity of 999 vocalist is dB'.

$dB' = 10log\frac{999Io}{Io}=29.9$..... (2)

So, the change is

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