Question

What is the sound intensity level in decibels? Use the usual reference level of I0 = 1.0×10−12 W/m2.

Answer 1

L = 130 decibels

Step-by-step explanation:

The computation of the sound intensity level in decibels is shown below:

According to the question, data provided is as follows

I = sound intensity = 10 W/m^2

I0 = reference level =
`1 * 10-12 W/m^2`

Now

Intensity level ( or Loudness)is

`L = log10 (I)/(10)`

`L = log10 (10)/(1* 10^(-12))`

`L = log10 * 1013`

`= 13 * 1 ( log10(10) = 1)`

Therefore

L = 13 bel

And as we know that

1 bel = 10 decibels

So,

The Sound intensity level is

L = 130 decibels