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

The decrease in decibels is 0.1 dB.

Step-by-step 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(1000Io)/(Io)=30`..... (1)

let the intensity of 999 vocalist is dB'.

`dB' = 10log(999Io)/(Io)=29.9`..... (2)

So, the change is

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