   Chapter 14, Problem 15P

Chapter
Section
Textbook Problem

A person 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 250 Hz at an intensity of 3.0 × 10−11 W/m2. What is the intensity delivered to the eardrum?

To determine
The intensity level delivered to eardrum.

Explanation

Given Info: The intensity of a hearing is 3×1011W/m2 , Intensity level of audible frequency of sound is 30 dB and hearing frequency is 250 Hz.

Formula to calculate the difference in decibel level of two sounds is,

β2β1=10log(I2I0)10log(I1I0)

• β2β1 is the difference in the decibel leave.
• I2 is the intensity delivered to the eardrum,
• I1 is the intensity of a hearing,
• I0 is the reference intensity.

Simplify the above expression

β2β1=10log(I2Io

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