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Find the wavelength of a proton moving at 1.00% of the speed of light.
Question by OpenStax is licensed under CC BY 4.0.
$1.32 \times 10^{-13} \textrm{ m}$
Solution Video

OpenStax College Physics Solution, Chapter 29, Problem 53 (Problems & Exercises) (0:34)

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This is College Physics Answers with Shaun Dychko. We are going to find the wavelength of a proton moving at a speed of 1 percent the speed of light so that's 0.0100 times c. The wavelength is going to be Planck's constant divided by momentum and momentum is mass times velocity which we then substitute in for p here. And so the wavelength then is Planck's constant—expressed in units of joule seconds— divided by the mass of a proton times 0.01 multiplied by the speed of light giving us 1.32 times 10 to the minus 13 meters.