DeBroglie wavelength based on kinetic energy

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SUMMARY

The discussion centers on calculating the DeBroglie wavelength based on kinetic energy, specifically addressing the confusion around the term "mc," which is clarified as a typo for "m_e," representing the rest mass of an electron. Participants confirm that for photons, which possess no rest mass, the relationship between kinetic energy (K) and momentum (p) is expressed as p = K/c. To derive the wavelength of a photon, the Planck relationship, E = hν, is utilized, linking energy and frequency.

PREREQUISITES
  • Understanding of DeBroglie wavelength concepts
  • Familiarity with the Planck relationship (E = hν)
  • Knowledge of kinetic energy and momentum equations
  • Basic principles of photon behavior in physics
NEXT STEPS
  • Study the derivation of the DeBroglie wavelength formula
  • Learn about the implications of rest mass in particle physics
  • Explore the relationship between energy and momentum for massless particles
  • Investigate advanced applications of the Planck relationship in quantum mechanics
USEFUL FOR

Students and educators in physics, particularly those focusing on quantum mechanics and wave-particle duality, as well as anyone seeking to understand the relationship between kinetic energy and wavelength in photons and electrons.

Cocoleia
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Homework Statement


I am working on a problem similar to this one:
upload_2017-2-11_19-45-35.png

In this solution, I do not understand what mc is, can someone explain? Also, would I follow the same type of steps if I have the kinetic energy of a photon and I need it's wavelength?

Homework Equations

The Attempt at a Solution

 
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Cocoleia said:
In this solution, I do not understand what mc is, can someone explain?
Looks like a typo. It should also be ##m_e##, the rest mass of the electron.

Cocoleia said:
Also, would I follow the same type of steps if I have the kinetic energy of a photon and I need it's wavelength?
Photons have no rest mass. Setting it to zero in the equation in your problem yields p = K/c, where K is the energy of the photon. That's a valid result linking energy and momentum for a photon. To get at the wavelength appeal to the Planck relationship, ##E = h \nu##.
 
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