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For instance would it be possible, or even worthwhile, to apply the De Broglie relation to a hyper sonic sound wave such as used in lithotripsy ? These hypersonic sound waves, are definitely waves but they behave like particles in the sense that they possess the ability to break and even shatter stones. Suppose that frequency of the sound is 2 Hz and that the speed of sound is 343m/s
Rather than hypersonic, I think you should use the term ultrasonic for lithotripsy. Hence the frequency is at least 20 kHz.