Energy and Wavelength of a photon in pair production

In summary, pair production is a phenomenon in which a photon is converted into an electron-positron pair. It is related to the concept of quantum mechanics and can only occur with particles that have a sufficient rest mass. The energy of a photon in pair production can be calculated using the equation E = hf, and it has practical applications in medical imaging and particle accelerators.
  • #1
amme636
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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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  • #2
Position is antiparticle of electron. So what will happen when they collide?
 

Related to Energy and Wavelength of a photon in pair production

1. What is the relationship between energy and wavelength in pair production?

The energy and wavelength of a photon are inversely related in pair production. This means that as the energy of a photon increases, its wavelength decreases.

2. How is pair production related to the concept of quantum mechanics?

Pair production is a phenomenon that can only be explained by the principles of quantum mechanics. It involves the conversion of a photon into an electron-positron pair, which violates the law of conservation of energy in classical physics.

3. Can pair production occur with any type of particle?

No, pair production can only occur with particles that have a rest mass greater than or equal to the combined rest mass of an electron and a positron. This includes particles such as protons and alpha particles.

4. How is the energy of a photon calculated in pair production?

The energy of a photon in pair production can be calculated using the equation E = hf, where E is energy, h is Planck's constant, and f is the frequency of the photon.

5. What are some practical applications of pair production?

Pair production is used in medical imaging techniques such as positron emission tomography (PET) scans, as well as in particle accelerators to produce high-energy particles for research and medical treatments.

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