The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 dB?
Sound intensity level in units of decibels (dB) can be written as,
Here, is the sound intensity level, is the intensity of sound andis the threshold intensity of hearing.
Calculate the ratio of intensity of sound from relation,
(dB) - = 40
Here, is the initial sound intensity level and is the final sound intensity level.
Substitute for (dB) and for (dB),