Compton Effect: Finding Final KE of Electron

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SUMMARY

The discussion revolves around calculating the final kinetic energy of an electron in the Compton effect, specifically when a 0.150 nm photon collides with a stationary electron. The momentum of the photon is calculated using the formula P = h/λ, yielding a value of 4.42e-24 kg m/s. The participant seeks clarification on how to determine the speed of the electron post-collision to apply it in the kinetic energy formula Ek = 1/2mv². It is emphasized that electrons cannot travel at the speed of light (c), which is a critical point in the analysis.

PREREQUISITES
  • Understanding of the Compton effect and its implications in particle physics
  • Familiarity with the equations for momentum (P = h/λ) and kinetic energy (Ek = 1/2mv²)
  • Knowledge of photon properties, including wavelength and energy
  • Basic principles of elastic collisions in physics
NEXT STEPS
  • Study the conservation of momentum in elastic collisions involving photons and electrons
  • Learn how to calculate the speed of an electron post-collision using relativistic equations
  • Explore the implications of the Compton wavelength shift on photon energy
  • Investigate the relationship between photon energy and electron kinetic energy in particle interactions
USEFUL FOR

Physics students, educators, and anyone interested in understanding particle interactions and the Compton effect in quantum mechanics.

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Homework Statement


In the compton effect a .150nm photon strikes a free staionary electron in a head-on elastic collision and knocks it into the foward direction. The rebounding photon recoils directly backwards. Use the collision conservation laws to find the final kinetic energy of the electron


Homework Equations


P = h/lambda
Ek = 1/2mv^2

The Attempt at a Solution



All i know is i need the momentum of the photon which is p =h/lambda = 4.42e-24 kg m/s basically i just need to know how to find the speed of the elctron which i can sub into ek = 1/2mv^2
 
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would it not be c?
 
is it, i didn't think that electrons could travel at c
 

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