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Photon colliding with moving electron

  1. Apr 21, 2016 #1
    1. The problem statement, all variables and given/known data
    Consider Comton scattering of a photon by a moving electron. Before the collision the photon has wave length λ and is moving in the +x direction, and the electron is moving in the -x direction with total energy E. The photon and electron collide head-on. After the collision both are moving in the -x direction. (a) Derive an expression for the wavelength λ' of the scattered photon. (b) Show that for the case E>>mc^2, the result reduces to λ′= hc/E(1+ m^2 c^4 λ/4hcE)


    2. Relevant equations


    3. The attempt at a solution
    I tried using energy and momentum conservation laws but can't seem to find it
     
  2. jcsd
  3. Apr 21, 2016 #2
    Can you please show your work?
     
  4. Apr 21, 2016 #3
    I would but i haven't done much progress
    I just need a hint or the direction of the solution
     
  5. Apr 21, 2016 #4
    Conserving momentum and energy should get you to the answer, put in the vectors correctly while conserving momentum.
     
  6. Apr 21, 2016 #5
    did that
    thx anyway
     
  7. Apr 21, 2016 #6
  8. Apr 21, 2016 #7
  9. Apr 21, 2016 #8
    Einitial=Efinal
    pinitial=pfinal
    Plug in the values, get an answer, post the equations and somebody will point out what was wrong in them.
     
  10. Apr 21, 2016 #9
    File_000.jpeg

    This is how i try to start
     
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