Answer:
The loudness of the sound is equal to 40 decibels.
Step-by-step explanation:
Given that,
The loudness (L) of sound in decibels is related to intensity by the equation as follows :
[tex]L=10\ log(\dfrac{I}{I_0})[/tex]
Where
I is the intensity of sound
I₀ is the least audible sound
Put [tex]I=10^{-12}\ W/m^2 \ and\ I_0=10^{-16}\ W/m^2[/tex]
So,
[tex]L=10\ log(\dfrac{10^{-12}}{10^{-16}})\\\\L=40\ dB[/tex]
So, the loudness of the sound is equal to 40 decibels.