Answer:
0.03981 W/m²
Explanation:
I = Sound intensity
[tex]\beta[/tex] = Intensity level = 106 dB
[tex]I_0[/tex] = Threshold of human hearing = [tex]10^{-12}\ W/m^2[/tex]
Intensity of sound is given by
[tex]\beta=10log\dfrac{I}{I_0}\\\Rightarrow 106=10log\dfrac{I}{10^{-12}}\\\Rightarrow \dfrac{106}{10}=log\dfrac{I}{10^{-12}}\\\Rightarrow 10^{\dfrac{106}{10}}=\dfrac{I}{10^{-12}}\\\Rightarrow I=10^{\dfrac{106}{10}}\times 10^{-12}\\\Rightarrow I=10^{-1.4}\\\Rightarrow I=0.03981\ W/m^2[/tex]
The sound intensity is 0.03981 W/m²
