Calculating Wavelength of Photons to Produce 30 keV Electrons

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Homework Help Overview

The problem involves calculating the wavelength of photons required to produce electrons with an energy of 30 keV through Compton scattering. The context includes concepts from quantum mechanics and particle physics.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the nature of Compton scattering and its relation to electron energy. Some express confusion about whether Compton scattering produces electrons or merely deflects them. Others suggest using the de Broglie wavelength formula based on electron velocity derived from energy.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the assumptions about the initial state of the electron and the role of the photon in the scattering process.

Contextual Notes

There is uncertainty regarding the definitions and implications of Compton scattering, particularly in relation to the energy of electrons and the nature of the photons involved. Participants are questioning the assumptions made in the problem statement.

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Homework Statement


56. What wavelength of photons are needed to produce 30 keV electrons in a compton scattering?


Homework Equations


[tex]E=\frac{hc}{\lambda}[/tex]

The Attempt at a Solution


This question throws me off because I was under the impression that compton scattering didn't produce any electrons, but simply deflected them. It also confuses me because I assume it's asking "What photons will produce electrons with total energy of 30-keV?" However, electrons have that much energy in rest mass alone.

Can anyone interpret this better?
 
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Not sure what compton scattering is, but I'd find the velocity of the electrons from their energy and and then use the de Broglie wavelength formula


[tex]\lambda = \frac{h}{mv}[/tex]
 


With all due respect, your suggestion does not make sense in the context of what we've discussed. We've discussed compton scattering, and have not discussed de Broglie wavelengths.
 


Here is my interpretation:

Assume that you have an electron at rest. An incoming photon Compton scatters off it and the electron acquires a kinetic energy of 30 keV. What is the initial wavelength of the photon?
 
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