Based on the graph inFigure\({\bf{17}}.{\bf{36}}\), what is the threshold of hearing

in decibels for frequencies of\({\bf{60}},{\rm{ }}{\bf{400}},{\rm{ }}{\bf{1000}},{\rm{ }}{\bf{4000}},{\rm{ }}{\bf{and}}{\rm{ }}{\bf{15}},{\bf{000}}{\rm{ }}{\bf{Hz}}\)? Note

that many AC electrical appliances produce 60 Hz, music is commonly

\({\bf{400}}{\rm{ }}{\bf{Hz}}\), a reference frequency is\({\bf{1000}}{\rm{ }}{\bf{Hz}}\), your maximum sensitivity

is near\({\bf{4000}}{\rm{ }}{\bf{Hz}}\), and many older TVs produce a\({\bf{15}},{\bf{750}}{\rm{ }}{\bf{Hz}}\)whine.

Short Answer

Expert verified

For \(60 Hz\),\(400 Hz\),\(1000 Hz\),\(4000 Hz\),\(15000 Hz\) frequencies have a threshold of hearing \(44 dB\),\(10 dB\),\(0 dB\),\( - 7 dB\),\(20 dB\) respectively.

Step by step solution

01

Threshold of hearing

The threshold of hearing is the minimum sound level below which a person can't hear any sound. and loudness for barely audible is 0phons

02

Figure for sound level, intensity, and loudness at given frequencies

First, make a vertical line for all given frequencies and draw a horizontal line corresponding to these vertical lines then we will get our sound intensity levels in dB as shown in the figure.

This figure has a frequency(Hz) on the x-axis, intensity sound level (dB) on the y-axis, and a curved line showing the behavior of loudness(phons) corresponding to frequency and sound level.

03

Analysis of this figure

  • Here we are interested in points that are crossings of vertical lines and0-phon curve
  • Now make horizontal lines corresponding to these points that are crossings of vertical lines and0-phon curve, this horizontal line will meet on the y-axis at some value of sound level.

We got the following from the figure.

  • For\(60 Hz\)frequency, horizontal line cut y-axis around \(44 dB\) (threshold hearing)
  • For\(400 Hz\)frequency, horizontal line cut y-axis around \(10 dB\) (threshold hearing)
  • For\(1000 Hz\)frequency, horizontal line cut y-axis around \(0 dB\) (threshold hearing)
  • For\(4000 Hz\)frequency, horizontal line cut y-axis around \( - 7 dB\) (threshold hearing)
  • For\(15000 Hz\)frequency, horizontal line cut y-axis around \(20 dB\) (threshold hearing)

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