The sound level produced by one singer is 63.4 dB. What would be the sound level produced by a chorus of 41 such singers (all singing at the same intensity at approximately the same distance as the original singer)? Answer in units of dB.

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

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

Now as there are 41 singers so their I is given as

Now the value of sound level is given as

perimeter = 2l +2w, divide total perimeter by 2 for total length of 1 side and 1 width

172/2 = 86 (  total for 1 side and 1 width)

86-24 = 62 (since length is 24 ft longer subtract 24 then divide by 2 for width)

62/2 = 31

width = 31 feet

length = 31 +24 = 55 feet

check: 31*2 = 62, 55*2 = 110,  110+62 = 172