SImple question about sound waves but need a good reason

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SUMMARY

The speed of sound is independent of frequency; both high frequency (short wavelength) and low frequency (long wavelength) sounds travel at the same speed in a given medium. The velocity of sound is primarily determined by the medium's properties, such as temperature and density, rather than the frequency of the sound waves. The discussion highlights the distinction between phase velocity and group velocity, emphasizing that while frequency influences wavelength, it does not affect the speed of sound itself.

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  • Knowledge of wave frequency and wavelength
  • Familiarity with phase velocity and group velocity concepts
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Sound waves and frequency

Question:
Compare between the speed of high frequency (short wavelength) sounds to low frequency (long wavelength) sounds.
In my opinion, the answer is that frequency affects directly to the velocity of the sound.
Therefore, high frequency sound have high velocity.
Can someone post if this is right or not? If not, can anyone provide the correct answer? Thanks in advance.
 
Last edited:
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It is non sequitur to say "the frequency directly affects the speed of sound therefore high frequency waves travel faster."

You will need to come up with a physical reason why the wavelength would affect the speed of sound. Also, does it make a difference whether you're talking about phase velocity as opposed to group velocity?
 

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