You are standing in the middle of a large room listening to

You are standing in the middle of a large room listening to a cacaphony of sounds. Rank the intensity level of the sounds from each source (1=loudest, 2= next loudest, ...) Consider all objects to be right next to you. If two values are within 0. 1 dB from each other, consider them to be the same . A Ten buzzers each producing a sound with intensity level of 50dB. a Two buzzers each producing a sound with intensity level of 57dB. A Four buzzers each producing a sound with intensity level of 54dB. a One hundred buzzers each producing a sound with intensity level of 40dB. An object emitting a sound with an intensity level of 60dB.

Solution

intensity level of one buzzer Beta1 = 10*log(I/Io)

intensity level of n buzzers (Beta)n= 10*log(n*I/I0) = 10*logn + 10*log(I/Io)

(Beta)n = 10*logn + Beta1

(1)

for ten buzzers

Beta = 10*log10 + 50 = 10 + 50 = 60 dB

(2)

for two buzzers

intensity level Beta = 10*log2 + 57 = 60.01 dB

(3)

for four buzzers

intensity level Beta = 10*log4 + 54 = 60.01 dB

(4)

for 100 buzzers

intensity level Beta = 10*log100 + 40 = 60.0 dB

(5)

intensity level Beta = 10*log100 + 40 = 60.0 dB

all are having same intensity level