How Can You Solve Compton Effect Homework Questions on X-ray Scattering?

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SUMMARY

The discussion focuses on solving homework questions related to the Compton Effect and X-ray scattering. The specific questions involve calculating the energy of recoiling electrons and maximum fractional energy loss for gamma rays of 0.491 MeV and 0.778 MeV. Participants suggest using the Compton shift equation, Δλ = h/(MeC)(1 - cosθ), and the energy-wavelength relation, E = hc/λ. A critical observation is made regarding the inconsistency in the provided Compton shift value, which is deemed incorrect based on the principles of the Compton Effect.

PREREQUISITES
  • Understanding of the Compton Effect and its equations
  • Knowledge of photon energy calculations using E = hc/λ
  • Familiarity with concepts of scattering and energy loss in particle physics
  • Basic grasp of units in physics, particularly keV and meters
NEXT STEPS
  • Review the Compton Effect and its mathematical derivations
  • Study the implications of energy conservation in scattering events
  • Explore the differences in scattering between electrons and protons
  • Investigate common pitfalls in homework problems related to particle physics
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Students studying physics, particularly those focusing on particle physics and the Compton Effect, as well as educators seeking to clarify concepts related to X-ray scattering and energy calculations.

Propagandhi
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I have 3 homework questions that I need help with:

Q1 X-rays having an energy of 543 keV undergo Compton scattering from a target. The resulting Compton shift is 3.83x1E-13 m. Find the energy of the recoiling electron. (units: keV)


Q2 Find the maximum fractional energy loss for a 0.491 MeV gamma ray that is Compton scattered from a free electron.


Q3 Find the maximum fractional energy loss for a 0.778 MeV gamma ray that is Compton scattered from a free proton.

As far as these questions go, the only thing I can think of doing is somehow manipulating the compton shift equation

delta λ =h/MeC (1-costheta)

or should I use the equation E=hc/λ?

Any help with these problems is very appreciated. Also, if I'm not in the correct forum, please direct me to the correct one.

Thanks.
 
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In 1st problem you have given scatter value (3.83*10-13 m) which is less value compare to incident wavelength:)that i have calculated (3.6*10-12m). According to compton effect wavelength should increas after scattering hence problem is wrong:-)
 

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