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Homework Help: Compton scattering

  1. Dec 27, 2017 #1
    1. The problem statement, all variables and given/known data
    upload_2017-12-28_0-15-42.png

    2. Relevant equations


    3. The attempt at a solution


    ## \lambda' = 2 \lambda ##

    ## \lambda' - \lambda = \lambda = \frac { h} { mc} \cos{ \phi } ##

    Here, ## \phi = \frac { pi} 4 ## is the angle between photon's original line of motion and its line of motion after scattering.

    Putting the values, I got E = ## \frac { hc} {\lambda } ## = 1.75 MeV, i.e. option (a).

    Is this correct?
     
  2. jcsd
  3. Dec 27, 2017 #2

    kuruman

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    The Compton scattering equation is incorrect, but the answer is (surprisingly) correct. ???
     
  4. Dec 27, 2017 #3
    Hi
    I have the same result (Ei=1.75 MeV) if I consider the Compton relationship$$E_{s}=\frac{E_{i}}{1+\frac{E_{i}}{mc^{2}} \left( 1-cos\theta \right) } $$Es=Ei/2
    Sorry kuruman is the fastest
     
  5. Dec 27, 2017 #4
    Because I did the right calculation and wrong typing.
    The following is wrong:
    The correct one is :
    ## \lambda' - \lambda = \lambda = \frac { h} { mc} ( 1 - \cos{ \phi })##
     
  6. Dec 27, 2017 #5
    How did you get to know this? He has not shown the solution.
     
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