Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition

12-1: Characteristics of Sound
12-2: Intensity of Sound; Decibels
12-3: Loudness
12-4: Sources of Sound: Strings and Air Columns
12-5: Quality of Sound, Superposition
12-6: Interference; Beats
12-7: Doppler Effect
12-8: Shock Waves; Sonic Booms

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 23
Q

What are the lowest and highest frequencies that an ear can detect when the sound level is 40 dB? (See Fig. 12–6.)

Sensitivity of the human ear as a function of frequency (see text). Note that the frequency scale is “logarithmic” in order to cover a wide range of frequencies.
Figure 12-6 Sensitivity of the human ear as a function of frequency (see text). Note that the frequency scale is “logarithmic” in order to cover a wide range of frequencies.
A
from 80 Hz80 \textrm{ Hz} to 20000 Hz20 000 \textrm{ Hz}
Giancoli 7th Edition, Chapter 12, Problem 23 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. If we look at the lowest red line on this graph, that corresponds to the threshold of hearing. So, we want to see what frequency does the 40 decibel sound level cross this lowest red line. And that happens at about 80 hertz. So, that's the lowest frequency you could possibly perceive with a 40 decibel sound level. And the maximum doesn't cross the 40 decibel line, this line just sort of ends here at about 20,000 hertz. So, you can hear anything from 80 hertz to 20,000 hertz with a sound level of 40 decibels.

COMMENTS
By josh1 on Sun, 1/26/2020 - 2:18 AM

Hi, I could be completely wrong about this, but isn't it correct to say that at 40 db, when looking at the maximum frequency you can hear, you should be on the 20 phon line? I agree with you on the minimum - at 40 dB, the lowest frequency you can hear is 80 Hz. But they ask for the max frequency you can hear AT 40 dB...the 0 phon line does not cross 40 dB, but the 20 phon line does.
So shouldn't you look for the max frequency that crosses the 40 dB line - which would fall on the 20 phon line?

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