Finding Kinetic Energy of an Electron with 100keV X-Ray Wavelength

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To find the kinetic energy of an electron with a de Broglie wavelength equal to that of a 100 keV x-ray, first calculate the momentum of the photon using p = E/c, where E is the energy in Joules. The de Broglie wavelength can be applied to both electrons and photons, but the momentum for an electron is determined by p = mv. Since the electron shares the same wavelength as the photon, it will have the same momentum. Finally, the kinetic energy of the electron can be calculated using the formula 0.5p^2/m, where m is the mass of the electron.
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how do you find the kinetic energy of an electron whose de Broglie wavelength is the same as that of a 100keV x-ray?
 
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Since the de Broglie wavelength is given by the momentum of the particle, I guess you would first determine the momentum p of the photon: p = E/c (I think), then find the kinetic energy of the electron via 0.5p^2/m, where m is the electron mass.
 
it's not a photon, but can you still use that formula?
 
Yes, you can use the de Broglie formula h/p to find the wavelength of an electron or a photon. The difference between the two comes in determining p. For an electron, p = mv. For a photon, p = E/c.

So if your photon has energy E = 100 keV, convert this to Joules and use p = E/c to find the momentum of the photon.

If the de Broglie wave of the electron has the same wavelength, it must have the same momentum p.
 
ok, thanks!
 

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