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Question
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.
Final Answer
$1.32 \times 10^{-13} \textrm{ m}$
Solution Video

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

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Video Transcript

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 <i>c</i>. The wavelength is going to be Planck's constant divided by momentum and momentum is mass times velocity which we then substitute in for <i>p</i> 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.