A construction 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.(1 point)Responses81 decibels81 decibels161 decibels161 decibels82.2 decibels82.2 decibels12.5 decibels
To find the loudness of the sound in decibels, we can use the formula:
L = 10 * log10(I/I0)
Where L is the loudness in decibels, I is the intensity of the sound, and I0 is the reference intensity, which is typically set at 10^-12 W/m^2.
Plugging in the values, we get:
L = 10 * log10(1.25 x 10^-4 / 10^-12)
Simplifying further, we get:
L = 10 * log10(1.25 x 10^8)
Using a calculator, we find:
L ≈ 82.2 decibels
Therefore, the loudness of the sound is approximately 82.2 decibels. The correct answer is 82.2 decibels.