Compton Scattering given Energy of Scattered Gamma.

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SUMMARY

The discussion focuses on solving a Compton scattering problem involving gamma rays with an energy of 1.02 MeV. The key equation used is the wavelength change formula, Δλ = 0.0243 Å (1 - cos θ), which relates the scattering angle θ to the change in wavelength. Participants emphasize the importance of converting photon energy to wavelength using the equation E = hc/λ, where h is Planck's constant and c is the speed of light. This conversion is crucial for accurately determining the energy of the scattered photon.

PREREQUISITES
  • Understanding of Compton scattering principles
  • Familiarity with photon energy and wavelength conversion
  • Knowledge of the equation Δλ = 0.0243 Å (1 - cos θ)
  • Basic grasp of Planck's constant and the speed of light
NEXT STEPS
  • Learn how to apply the conservation of energy in Compton scattering problems
  • Study the derivation and applications of the Compton wavelength shift formula
  • Explore the implications of scattering angles on photon energy
  • Investigate the significance of gamma ray interactions in particle physics
USEFUL FOR

Students studying physics, particularly those focusing on quantum mechanics and particle interactions, as well as educators looking for examples of Compton scattering applications.

atomicpedals
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Homework Statement



Gamma rays of energy 1.02MeV are scattered from electrons which are initially at rest. Find the angle for symmetric scattering at this energy. What is the energy of the scattered photon from this case?

Homework Equations



\Delta \lambda = 0.0243A (1 - cos \theta )

The Attempt at a Solution



What's throwing me off on this problem is the use of the gamma energy (1.02MeV). I'm perfectly equipped to handle this problem given wavelengths. Do I need to go back and calculate out the wavelength from conservation of energy? Any hints in the right direction are much appreciated.

Thanks.
 
Physics news on Phys.org
The energy of a photon is given by E = hc/lambda, where h is Planck's Constant and c is the speed of light. You can use this to convert between energy and wavelength.
 
Can't believe I missed that, thanks!
 

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