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Compton-scattering problem

  1. Feb 11, 2014 #1
    1. The problem statement, all variables and given/known data
    Photons of wavelength 59.0 pm are Compton-scattered from a free electron in an aluminum block, at 87.0° from the original direction. What energy (in electronvolts) has been imparted to each electron?


    2. Relevant equations
    [itex]\frac{h}{mc}[/itex] = 0.0024nm for e-
    ∇λ = [itex]\frac{h}{mc}[/itex] (1-cosθ)
    hc = 1240 eV*nm

    3. The attempt at a solution
    I got as answer: 2.02 [itex]\times[/itex] 104eV (its wrong):

    ∇λ = 0.0024nm *(1-cos(87°)) = 0.0023nm
    λ2 = λ1+∇λ = 0.059nm + 0.0023nm = 0.0613nm
    E2 = hc/λ2 = 1240eV*nm / 0.0613nm = 2.02 [itex]\times[/itex] 104eV
     
    Last edited: Feb 11, 2014
  2. jcsd
  3. Feb 11, 2014 #2
    figured out what i was doing wrong. nevermind
     
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