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How do you calculate the wavelength of heroin?

Updated: 8/20/2019
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12y ago

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You need to know two pieces of information: how much heroin there is (in grams) and how fast this heroin is moving.

De Broglie gave us the equation to calculate the wavelength of matter waves, given by: wavelength=h/p where h is Planck's constant, equal to 6.626*10^(-34) Joule-seconds, and p is momentum. Relativistic momentum is given by: p=(mass*velocity)/(sqrt(1-(v/c)^2)), where c is the speed of light, equal to approximately 2.9979*10^8 m/s. So, for example, 1 gram of heroin traveling at half the speed of light (1.499*10^8 m/s) would have a wavelength of 3.828 * 10^(-39) meters! This is 4 orders of magnitude smaller than 1 Planck length, thought to be the smallest possible length in the Universe. Even a particle of dust is far too big to have an observable wavelength. But things like atomic nuclei and leptons are small enough for their de Broglie wavelengths to be observed.

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Q: How do you calculate the wavelength of heroin?
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What is the wavelength of heroin?

To calculate the wavelength, you need to know two pieces of information: how much heroin there is (in grams) and how fast this heroin is moving (in fractions of c).De Broglie gave us the equation to calculate the wavelength of matter waves, given by: wavelength=h/p where h is Planck's constant, equal to 6.626*10^(-34) Joule-seconds, and p is momentum. Relativistic momentum is given by: p=(mass*velocity)/(sqrt(1-(v/c)^2)), where c is the speed of light, equal to approximately 2.9979*10^8 m/s. So, for example, 1 gram of heroin traveling at half the speed of light (1.499*10^8 m/s) would have a wavelength of 3.828 * 10^(-39) meters! This is 4 orders of magnitude smaller than 1 Planck length, thought to be the smallest possible length in the Universe. Even a particle of dust is far too big to have an observable wavelength. But things like atomic nuclei and leptons are small enough for their de Broglie wavelengths to be observed.Read more: How_do_you_calculate_the_wavelength_of_heroin


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