Question

What are the closest frequencies to 500 Hz that an average person can clearly distinguish as being different in frequency from 500 Hz? The sounds are not present simultaneously.

$f_H = 501.5 \textrm{ Hz}$

$f_L = 498.5 \textrm{ Hz}$

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Video Transcript

This is College Physics Answers with Shaun Dychko. The smallest change in frequency that a person can usually perceive is 0.3 percent. So we are going to add 0.3 percent to this given frequency

*f*and find the high-end or the upper frequency that is detectible and then we will subtract the three percent*f*away from*f*. And find the lower frequency that would be audible. And so we have the original frequency of 500 Hertz plus 0.3 over hundred that turn this 0.3 percent into a decimal times 500 Hertz. This gives 501 and a half Hertz. And then the first lower frequency that would be audible is going to be 500 hertz minus three percent which gives 498.5 Hertz.