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De Broglie wavelength of electron

  1. Jan 30, 2008 #1
    1. The problem statement, all variables and given/known data

    Show that the de Broglie wavelength of an electron of kinetic energy E (eV) is

    [tex]\lambda = \frac{12.3*10^{-8}}{E^{1/2}}[/tex]

    2. Relevant equations

    [tex]\lambda = \frac{h}{p}[/tex]
    [tex]E = \frac{p^2}{2m}[/tex]

    3. The attempt at a solution
    I've played around with substituting and things like that, but I can't seem to find that 12.3 number anywhere. I feel like I must be missing something simple, but I'm not sure what.
  2. jcsd
  3. Jan 30, 2008 #2


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    Science Advisor
    Homework Helper

    First convert the second equation to the right units and solve it for p, then plug it into the first equation and work out all the things you have numerical values for. Note that h is actually [itex]\hbar = h / (2\pi)[/itex].

    I then get [itex]12.26 \times 10^{-9}[/itex].
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