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What happens as wavelengths of sound waves approach tens of micrometers?


What happens to sound waves?Resonance in a 1 ft granite boxcan silence happens when 2 sound waves destroy each otherFrequency of Sound WavesTransmission of Sound WavesRefraction of Sound WavesDetect original sound wavesWhat happens to energy lost as soundSound Waves + Closed Box --> What happens under movement?Sound Waves concept problem






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6












$begingroup$


I was having an online conversation about Dungeons and Dragons, and my acquaintance abbreviated "Barbarian Level 17" as Bb17. I took the opportunity to make a joke about how that is similar to musical notation (i.e. B♭₁₇). Then I tried calculating the frequency and wavelength and got:



$$f=3.8 text GHz$$
$$λ=87.5 text μm$$



Can a compression wave (not sure you could even call it sound at that point) have such a high frequency? Does anything happen when it does?










share|cite|improve this question









New contributor



David Coffron is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    6












    $begingroup$


    I was having an online conversation about Dungeons and Dragons, and my acquaintance abbreviated "Barbarian Level 17" as Bb17. I took the opportunity to make a joke about how that is similar to musical notation (i.e. B♭₁₇). Then I tried calculating the frequency and wavelength and got:



    $$f=3.8 text GHz$$
    $$λ=87.5 text μm$$



    Can a compression wave (not sure you could even call it sound at that point) have such a high frequency? Does anything happen when it does?










    share|cite|improve this question









    New contributor



    David Coffron is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$














      6












      6








      6





      $begingroup$


      I was having an online conversation about Dungeons and Dragons, and my acquaintance abbreviated "Barbarian Level 17" as Bb17. I took the opportunity to make a joke about how that is similar to musical notation (i.e. B♭₁₇). Then I tried calculating the frequency and wavelength and got:



      $$f=3.8 text GHz$$
      $$λ=87.5 text μm$$



      Can a compression wave (not sure you could even call it sound at that point) have such a high frequency? Does anything happen when it does?










      share|cite|improve this question









      New contributor



      David Coffron is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$




      I was having an online conversation about Dungeons and Dragons, and my acquaintance abbreviated "Barbarian Level 17" as Bb17. I took the opportunity to make a joke about how that is similar to musical notation (i.e. B♭₁₇). Then I tried calculating the frequency and wavelength and got:



      $$f=3.8 text GHz$$
      $$λ=87.5 text μm$$



      Can a compression wave (not sure you could even call it sound at that point) have such a high frequency? Does anything happen when it does?







      acoustics






      share|cite|improve this question









      New contributor



      David Coffron is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.










      share|cite|improve this question









      New contributor



      David Coffron is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      share|cite|improve this question




      share|cite|improve this question








      edited 8 hours ago







      David Coffron













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      asked 8 hours ago









      David CoffronDavid Coffron

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          3 Answers
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          $begingroup$

          When we think of air as a continuous medium that can support waves, we have to assume that the scale of spatial variation in macroscopic quantities (like pressure, density, etc.) is significantly higher than the mean free path of the molecules. To within an order of magnitude, the mean free path of air molecules is around 0.1 µm, which is still a few orders of magnitude smaller than the wavelengths you're looking at. So treating this as a sound wave is probably still fine.



          It's also worth noting that acoustic microscopy uses sound waves with frequencies up to a few GHz, not too far off from what you're talking about. However, we're usually talking about waves in solids or liquids in this case; in air, waves of high frequencies like this are quickly attenuated as they propagate.






          share|cite|improve this answer









          $endgroup$




















            0












            $begingroup$

            Yes, no problem in principle.



            The limit for wavelengths is the interatomic distance. The cut-off frequencies for phonons in solids are about $10^13$ Hz.



            In gases, attenuation goes up a lot a short wavelengths. This paper says that attenuation in air is 80 000 dB/m (for $f = 20$ MHz): http://acoustics.ippt.pan.pl/index.php/aa/article/viewFile/555/486






            share|cite|improve this answer









            $endgroup$




















              -1












              $begingroup$

              It's called ultrasonic because most people cannot hear it (this particular frequency is way over the typical audible threshold of 20,000Hz). You could also call it an overtone in a more musical nomenclature. This sound would resolve smaller features than larger waves, so you can use it to generate higher resolution images as in ultrasound or with a hypothetical creature in D&D with ultrasonic echolocation (animals typical echolocate in the range 40-140kHz).






              share|cite|improve this answer








              New contributor



              guitarphish is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.





              $endgroup$








              • 2




                $begingroup$
                This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                $endgroup$
                – David Coffron
                6 hours ago










              • $begingroup$
                I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                $endgroup$
                – guitarphish
                6 hours ago













              Your Answer








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              3 Answers
              3






              active

              oldest

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              3 Answers
              3






              active

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              active

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              votes






              active

              oldest

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              2












              $begingroup$

              When we think of air as a continuous medium that can support waves, we have to assume that the scale of spatial variation in macroscopic quantities (like pressure, density, etc.) is significantly higher than the mean free path of the molecules. To within an order of magnitude, the mean free path of air molecules is around 0.1 µm, which is still a few orders of magnitude smaller than the wavelengths you're looking at. So treating this as a sound wave is probably still fine.



              It's also worth noting that acoustic microscopy uses sound waves with frequencies up to a few GHz, not too far off from what you're talking about. However, we're usually talking about waves in solids or liquids in this case; in air, waves of high frequencies like this are quickly attenuated as they propagate.






              share|cite|improve this answer









              $endgroup$

















                2












                $begingroup$

                When we think of air as a continuous medium that can support waves, we have to assume that the scale of spatial variation in macroscopic quantities (like pressure, density, etc.) is significantly higher than the mean free path of the molecules. To within an order of magnitude, the mean free path of air molecules is around 0.1 µm, which is still a few orders of magnitude smaller than the wavelengths you're looking at. So treating this as a sound wave is probably still fine.



                It's also worth noting that acoustic microscopy uses sound waves with frequencies up to a few GHz, not too far off from what you're talking about. However, we're usually talking about waves in solids or liquids in this case; in air, waves of high frequencies like this are quickly attenuated as they propagate.






                share|cite|improve this answer









                $endgroup$















                  2












                  2








                  2





                  $begingroup$

                  When we think of air as a continuous medium that can support waves, we have to assume that the scale of spatial variation in macroscopic quantities (like pressure, density, etc.) is significantly higher than the mean free path of the molecules. To within an order of magnitude, the mean free path of air molecules is around 0.1 µm, which is still a few orders of magnitude smaller than the wavelengths you're looking at. So treating this as a sound wave is probably still fine.



                  It's also worth noting that acoustic microscopy uses sound waves with frequencies up to a few GHz, not too far off from what you're talking about. However, we're usually talking about waves in solids or liquids in this case; in air, waves of high frequencies like this are quickly attenuated as they propagate.






                  share|cite|improve this answer









                  $endgroup$



                  When we think of air as a continuous medium that can support waves, we have to assume that the scale of spatial variation in macroscopic quantities (like pressure, density, etc.) is significantly higher than the mean free path of the molecules. To within an order of magnitude, the mean free path of air molecules is around 0.1 µm, which is still a few orders of magnitude smaller than the wavelengths you're looking at. So treating this as a sound wave is probably still fine.



                  It's also worth noting that acoustic microscopy uses sound waves with frequencies up to a few GHz, not too far off from what you're talking about. However, we're usually talking about waves in solids or liquids in this case; in air, waves of high frequencies like this are quickly attenuated as they propagate.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered 8 hours ago









                  Michael SeifertMichael Seifert

                  17.3k2 gold badges33 silver badges60 bronze badges




                  17.3k2 gold badges33 silver badges60 bronze badges























                      0












                      $begingroup$

                      Yes, no problem in principle.



                      The limit for wavelengths is the interatomic distance. The cut-off frequencies for phonons in solids are about $10^13$ Hz.



                      In gases, attenuation goes up a lot a short wavelengths. This paper says that attenuation in air is 80 000 dB/m (for $f = 20$ MHz): http://acoustics.ippt.pan.pl/index.php/aa/article/viewFile/555/486






                      share|cite|improve this answer









                      $endgroup$

















                        0












                        $begingroup$

                        Yes, no problem in principle.



                        The limit for wavelengths is the interatomic distance. The cut-off frequencies for phonons in solids are about $10^13$ Hz.



                        In gases, attenuation goes up a lot a short wavelengths. This paper says that attenuation in air is 80 000 dB/m (for $f = 20$ MHz): http://acoustics.ippt.pan.pl/index.php/aa/article/viewFile/555/486






                        share|cite|improve this answer









                        $endgroup$















                          0












                          0








                          0





                          $begingroup$

                          Yes, no problem in principle.



                          The limit for wavelengths is the interatomic distance. The cut-off frequencies for phonons in solids are about $10^13$ Hz.



                          In gases, attenuation goes up a lot a short wavelengths. This paper says that attenuation in air is 80 000 dB/m (for $f = 20$ MHz): http://acoustics.ippt.pan.pl/index.php/aa/article/viewFile/555/486






                          share|cite|improve this answer









                          $endgroup$



                          Yes, no problem in principle.



                          The limit for wavelengths is the interatomic distance. The cut-off frequencies for phonons in solids are about $10^13$ Hz.



                          In gases, attenuation goes up a lot a short wavelengths. This paper says that attenuation in air is 80 000 dB/m (for $f = 20$ MHz): http://acoustics.ippt.pan.pl/index.php/aa/article/viewFile/555/486







                          share|cite|improve this answer












                          share|cite|improve this answer



                          share|cite|improve this answer










                          answered 8 hours ago









                          PieterPieter

                          9,8003 gold badges18 silver badges39 bronze badges




                          9,8003 gold badges18 silver badges39 bronze badges





















                              -1












                              $begingroup$

                              It's called ultrasonic because most people cannot hear it (this particular frequency is way over the typical audible threshold of 20,000Hz). You could also call it an overtone in a more musical nomenclature. This sound would resolve smaller features than larger waves, so you can use it to generate higher resolution images as in ultrasound or with a hypothetical creature in D&D with ultrasonic echolocation (animals typical echolocate in the range 40-140kHz).






                              share|cite|improve this answer








                              New contributor



                              guitarphish is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.





                              $endgroup$








                              • 2




                                $begingroup$
                                This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                                $endgroup$
                                – David Coffron
                                6 hours ago










                              • $begingroup$
                                I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                                $endgroup$
                                – guitarphish
                                6 hours ago















                              -1












                              $begingroup$

                              It's called ultrasonic because most people cannot hear it (this particular frequency is way over the typical audible threshold of 20,000Hz). You could also call it an overtone in a more musical nomenclature. This sound would resolve smaller features than larger waves, so you can use it to generate higher resolution images as in ultrasound or with a hypothetical creature in D&D with ultrasonic echolocation (animals typical echolocate in the range 40-140kHz).






                              share|cite|improve this answer








                              New contributor



                              guitarphish is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.





                              $endgroup$








                              • 2




                                $begingroup$
                                This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                                $endgroup$
                                – David Coffron
                                6 hours ago










                              • $begingroup$
                                I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                                $endgroup$
                                – guitarphish
                                6 hours ago













                              -1












                              -1








                              -1





                              $begingroup$

                              It's called ultrasonic because most people cannot hear it (this particular frequency is way over the typical audible threshold of 20,000Hz). You could also call it an overtone in a more musical nomenclature. This sound would resolve smaller features than larger waves, so you can use it to generate higher resolution images as in ultrasound or with a hypothetical creature in D&D with ultrasonic echolocation (animals typical echolocate in the range 40-140kHz).






                              share|cite|improve this answer








                              New contributor



                              guitarphish is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.





                              $endgroup$



                              It's called ultrasonic because most people cannot hear it (this particular frequency is way over the typical audible threshold of 20,000Hz). You could also call it an overtone in a more musical nomenclature. This sound would resolve smaller features than larger waves, so you can use it to generate higher resolution images as in ultrasound or with a hypothetical creature in D&D with ultrasonic echolocation (animals typical echolocate in the range 40-140kHz).







                              share|cite|improve this answer








                              New contributor



                              guitarphish is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.








                              share|cite|improve this answer



                              share|cite|improve this answer






                              New contributor



                              guitarphish is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.








                              answered 6 hours ago









                              guitarphishguitarphish

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                              111 bronze badge




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                              New contributor




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                              • 2




                                $begingroup$
                                This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                                $endgroup$
                                – David Coffron
                                6 hours ago










                              • $begingroup$
                                I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                                $endgroup$
                                – guitarphish
                                6 hours ago












                              • 2




                                $begingroup$
                                This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                                $endgroup$
                                – David Coffron
                                6 hours ago










                              • $begingroup$
                                I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                                $endgroup$
                                – guitarphish
                                6 hours ago







                              2




                              2




                              $begingroup$
                              This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                              $endgroup$
                              – David Coffron
                              6 hours ago




                              $begingroup$
                              This doesn't seem to address my question. Welcome to StackExchange; I'm not super familiar with the Physics stack, but their tour could shed some basic light on what kind of answers are expected here. My question isn't about what class of sound this would be, but on the physical implications of such an occurrence. In any case, it's a pleasure to meet you and I hope to see you around.
                              $endgroup$
                              – David Coffron
                              6 hours ago












                              $begingroup$
                              I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                              $endgroup$
                              – guitarphish
                              6 hours ago




                              $begingroup$
                              I can delete my answer if you don't like it. The other answers also do not talk about phonons, which are quantum quasi-particles of sound that are much smaller than the scales being talked about. en.wikipedia.org/wiki/Phonon
                              $endgroup$
                              – guitarphish
                              6 hours ago










                              David Coffron is a new contributor. Be nice, and check out our Code of Conduct.









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