Compton effect and kinetic energy

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Homework Help Overview

The discussion revolves around the Compton effect, specifically focusing on calculating the maximum kinetic energy of Compton electrons and the corresponding energy of scattered photons for given initial photon energies. Participants are examining the relationships between photon energy, wavelength changes, and scattering angles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to calculate changes in wavelength using the Compton wavelength shift equation and express confusion regarding how to derive the energy of the scattered photon from these calculations. Questions arise about determining initial and final wavelengths based on photon energy.

Discussion Status

The discussion is ongoing, with participants sharing their attempts to apply the Compton effect equations. Some guidance has been offered regarding the relationship between energy and wavelength, but no consensus or complete solutions have been reached yet.

Contextual Notes

Participants are working under the constraints of specific photon energies (100 keV and 1 MeV) and are exploring the implications of scattering angles on energy loss. There is an acknowledgment of the similarity between the problems being discussed.

cassimoe
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Homework Statement


What is the maximum possible kinetic energy (keV) of a Compton electron and the corresponding minimum energy of a scattered photon resulting from scattering of

a) 100 keV photon
b) 1 MeV photon


Homework Equations


Δλ = 0.24(1-cosθ)


The Attempt at a Solution


Δλ = 0.24(1-(-1))
= 0.48A

I do not know how to figure the energy of the scattered photon
 
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Compton Scatter

Homework Statement



what fraction of the energy of a 1 MeV photon is lost if it Compton scatters through an angle of 90 degrees

Homework Equations



Δλv= 0.24(1-cosθ)


The Attempt at a Solution


Δλv= 0.24(1-cosθ)
= 0.24(1-cos90)
= 0.24(1-0)
Δλ = 0.24A

I am confused from here
 
OK, you've got the change in wavelength of the photon. What's the initial wavelength? (How do you find the wavelength of a photon given the energy?)

Then, what's the final wavelength?
 
Last edited:
Threads merged. These two problems are actually rather similar, and you should be able to use basically the same technique to solve both of them. My hint applies to both of them.
 

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