Answer:
L = 130 decibels
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 = [tex]1 \times 10-12 W/m^2[/tex]
Now
Intensity level ( or Loudness)is
[tex]L = log10 \frac{I}{10}[/tex]
[tex]L = log10 \frac{10}{1\times 10^{-12}}[/tex]
[tex]L = log10 \times 1013[/tex]
[tex]= 13 \times 1 ( log10(10) = 1)[/tex]
Therefore
L = 13 bel
And as we know that
1 bel = 10 decibels
So,
The Sound intensity level is
L = 130 decibels
