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Chapter 12: Q23P (page 328)

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

Short Answer

Expert verified

The minimum and maximum frequencies that an ear can detect at \(40{\rm{ dB}}\) is \(80{\rm{ Hz}}\) and \(20000{\rm{ Hz}}\) respectively.

Step by step solution

01

Step-1:-Understanding limits of hearing

The lowest sound that is audible for an ear is the threshold of hearing. Similarly, the threshold of pain is the maximum sound that an ear can accept, and above that limit causes pain.

02

Step-2:-Given data

The sound level is \(40\;{\rm{dB}}\).

03

Step-3:-Calculation of highest and lowest frequencies

The following is the graph between sound level, intensity and frequency.

From the above graph, the minimum frequency that an ear can detect at \(40{\rm{ dB}}\) is around \(80{\rm{ Hz}}\). The curve for the threshold of hearing is not intersecting the sound level \(40{\rm{ dB}}\) at any other point. So, the maximum frequency can be taken as \(20000{\rm{ Hz}}\).

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