Aconstruction explosion has an intensity i of 1.25 x 10–4 w/m2. find the loudness of the sound in decibels if w/m2. round to the nearest tenth.

a. 81 decibels
b. 161 decibels
c. 82.2 decibels
d. 12.5 decibels

We solve this problem by using the decibels formula which is expressed as:

dB = 10 x log (Isig/Iref)

where dB is decibels, Isig is the intensity of the signal and Iref is the intentsity of the softest sound the human ear can hear which has a value of 10^-12.

We solve as follows:
dB = 10 x log (1.25 x 10–4 / 10^-12 ) = 80.97 decibels

Therefore, the correct answer is option A, 81 decibels.