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De Broglie wavelength

  1. Sep 19, 2015 #1
    1. The problem statement, all variables and given/known data


    A particle of mass m and charge q is accelerated across a potential dierence V to a non-relativistic velocity. What is the de Broglie wavelength of this particle?

    2. Relevant equations

    Is it

    upload_2015-9-20_0-12-18.png

    3. The attempt at a solution

    I think it's
    ## \frac{h}{\sqrt{2mqV}} ##, because ## qV = \frac{p^2}{2m}## , or : P.E (at rest) = K.E (after acceleration), so that ## p= \sqrt{2mqV}, \lambda= \frac{h}{p}= \frac{h}{\sqrt{2mqV}}##
     
  2. jcsd
  3. Sep 19, 2015 #2

    blue_leaf77

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    You can boost your confidence by using the fact that the provided options all have different units.
     
  4. Sep 20, 2015 #3
    ## (\frac{h}{\sqrt{2mqV}} )^2 : \frac{J^2 . s^2}{kg.C.volt} = \frac{kg^2 . m^4}{s^2} \times \frac{A . s^3}{kg. C. Kg. m^2} ##
    ## = m^2 \times \frac{C/s. s}{C} = m^2 ##
     
  5. Sep 20, 2015 #4

    blue_leaf77

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    Well then you have found the answer.
     
  6. Sep 20, 2015 #5
    Thanks :)
     
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