An 8-hour exposure to a sound intensity level of 90.0 dB may cause hearing damage. What energy in joules falls on a 0.800-cm-diameter eardrum so exposed?
Prolong exposure to the high intensity sound may cause temporary or permanent damage to the hearing system.
The expression to find the intensity level of sound is,
= (10 dB) ()
Rearrange the expression,
Here is sound in decibel, is intensity of sound and is reference intensity of sound.
Substitute, 90 dB for and for in the expression of intensity level of sound,
Take antilog at base 10 both sides,
= 1.0 x w/
Therefore intensity of sound for 90 dB is 1.0 x w/