Answer:
The sound level of 41 singers is approximately 79.52 dB.
Explanation:
As the sound level is given as 63.4 dB
The Intensity to Sound level relation is given as
[tex]\beta=10 log \dfrac{I}{I_o}\\[/tex]
Here β is given as 63.4 dB
I is to be calculated for 1 singer
I_o is constant as 10⁻¹²
So the equation is given as
[tex]\beta=10 log \dfrac{I}{I_o}\\I=10^{\beta/10}I_o\\I=10^{63.4/10}10^{-12}\\I=2.19 \times 10^{-4}[/tex]
Now as there are 41 singers so their I is given as
[tex]I_4_1=41*2.19 \times 10^{-4}\\I_4_1=0.0089[/tex]
Now the value of sound level is given as
[tex]\beta_4_1=10 log \dfrac{I_4_1}{I_o}\\\beta_4_1=10 log \dfrac{0.0089}{10^{-12}}\\\beta_4_1=79.52 dB[/tex]
