Answer :
Answer:
The intensity of sound in decibel is 65 dB
The intensity of sound in Watts/m² is 1 x 10⁻⁴ W/m²
Step-by-step explanation:
The intensity of sound in decibel is given by;
[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\[/tex]
where;
I₀ is the smallest sound intensity that can be heard by the human ear = 1 x 10⁻¹² watts/m²
[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\\beta (dB) = 10Log(\frac{3.2*10^{-6}}{1*10^{-12}})\\\\\beta (dB) = 65.05 \ dB[/tex]
= 65 dB
If the decibel level goes up to 80 dB, the intensity in W/m² is given by;
[tex]\beta (dB) = 10Log(\frac{I}{I_o} )\\\\80 = 10Log(\frac{I}{I_o} )\\\\8 =Log (\frac{I}{I_o} )\\\\10^8 = \frac{I}{I_o} \\\\I = I_o *10^8\\\\I = 1*10^{-12}*10^8\\\\I = 1*10^{-4} \ W/m^2[/tex]
Answers:
In photo below
Explanation:
I got it correct in my test
