Question

The sound level produced by one singer is

82.1 dB.
What would be the sound level produced
by a chorus of 43 such singers (all singing at
the same intensity at approximately the same
distance as the original singer)?
Answer in units of dB.

Answer 1

Answer: The sound level produced by a chorus of 43 singers will be 97.66 dB.

Step-by-step explanation:

Let I, the intensity of a sound produced by a singer, therefore, the intensity of the sound produced by 43 singers is equal to 43I. Therefore, the intensity is:

x = 10log(43I/Io)

x = 10log(43) + 10log(I/Io)

The second term in the equation is the sound intensity produced by a single singer. We calculate that the sound intensity of 36:

x = 10log(36) + 82.1 = 97.66 dB