What is the intensity level in decibels of a sound with intensity 10^-3 W/m²? The threshold of human hearing is 1.0 × 10^-12 W/m². A)30 dB B)60 dB C)90 dB D)96 dB

Question

Quizplus · Accepted Answer

To find the intensity level in decibels (dB), we use the formula:

dB = 10log(I/I0)

where I is the intensity of the sound and I0 is the threshold of human hearing.

Substituting the given values:

dB = 10log[(10^-3)/(10^-12)]
   = 10log(10^9)
   = 10 x 9
   = 90 dB

Therefore, the intensity level in decibels of the given sound is 90 dB. The best choice is C.

What Is the Intensity Level in Decibels of a Sound