Energy and Wavelength of a photon in pair production

AI Thread Summary
In pair production, an electron and positron with 220 keV of kinetic energy each can produce a photon. The total energy required for this process is 1.46 MeV, which includes the rest mass energy of the electron and positron. The corresponding wavelength of the photon produced is calculated to be 8.49 x 10^-13 meters. Understanding the relationship between energy and wavelength is crucial for solving these types of problems. The collision of the electron and positron results in the creation of a photon, demonstrating the principles of particle-antiparticle interactions.
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Homework Statement



Electron and positron each have a kinetic energy of 220 keV even when far apart.

Homework Equations





The Attempt at a Solution


I have no idea. My book says the answer 1.46 MeV, 8.49 x 10^-13 m but I don't know how to get that.
 
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Position is antiparticle of electron. So what will happen when they collide?
 
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