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Wavelength of scattered photon and angle of scattering in the Compton scattering

  1. Dec 3, 2012 #1
    1. The problem statement, all variables and given/known data

    In the Compton scattering, a photon of wavelength λ collides with an electron at rest, and a new photon of wavelength λ' emerges at an angle θ. Find λ' y θ.

    Energy of incident photon Ei = 1 MeV
    Energy of scattered electron Ee = 0.32 MeV

    2. Relevant equations

    E = [itex]\frac{hc}{λ}[/itex]

    λ' - λ = λc(1 - cosθ)

    c being Compton wavelength)

    3. The attempt at a solution

    λ' = [itex]\frac{hc}{E_i - E_e}[/itex] = [itex]\frac{1240 eV · nm}{0.68 MeV}[/itex] = 1.82 pm

    θ = cos-1[itex]\left(\frac{λ - λ'}{λ_c} + 1\right)[/itex] = 40.45°

    Am I right?
  2. jcsd
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