A person has severe hearing loss that reduces the intensity in his inner ear by

Question

A person has severe hearing loss that reduces the intensity in his inner ear by 63.9 dB. To compensate, a hearing aid can amplify the sound pressure amplitude by a certain factor to bring the intensity level back to the value for a healthy ear. What amplification factor is needed for this person?

A bat is pursuing an insect and using echolocation of 60-kHz sound waves to track the insect. The insect is initially 24 cm from the bat, but then moves to a distance of 44 cm as it tries to escape. What is the difference in the two echo times the bat measures?

Explanation / Answer

decibels = 10 log (I(0)/I) = 63.9
log I(0) /I= 6.3
I(0)/I =6.343*10^7

the Intensity are the amplitude power 2

square root of 6.343*10^7

amplification factor=7964

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