Aperson wears a hearing aid that uniformly increases the intensity level of all audible frequencies of sound by 30.0 db. the hearing aid picks up sound having a frequency of 100 hz and an intensity of 1.3e-10 w/m2. what is the intensity delivered to the eardrum?

The intensity delivered to the ear drum is I' = 653.131x10^-11 w/m^2

Explanation:

The standard intensity Io = 10^{-12} w/m^2

The intensity of corresponds to an intensity level of

This is increased by the hearing aid by a factor of 30 dB

It now becomes 30 + 11.13 = 41.13 dB

This corresponds to an intensity of I'

10 log(I'/Io) = 41.13 dB

log (I'/Io) = 4.11

I'/Io + 10^4.11

I' = 10^{-12} x 12882.49 w/m^2

The intensity delivered to the ear drum is

I' = 653.131x10^-11 w/m^2

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