Pair production minimal wavelength

In summary, the equation hc/λ = 2MeC^2 + K can be used to calculate the minimal wavelength of electromagnetic radiation needed to pair-produce an electron-positron pair. However, the given attempt at a solution is incorrect and should be rechecked. It is also important to clarify if the question is asking for the minimal or maximum wavelength.
  • #1
blade_090
14
0

Homework Statement



what is the minimal wavelength of electromagnetic radiation to pair-produce an
electron-positron pair?

Homework Equations


~ = wavelength
hc/~ = 2MeC^2 + K

The Attempt at a Solution


hc/~ = 2MeC^2
= 2(9.11x10^-31)(3x10^8)^2
~ = 8.24x10^-11m
is tis correct?
 
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  • #2
You should recheck your calculations. Your final answer is wrong.

Are you sure the question is asking for the minimal wavelength? If so, your method is incorrect. Energy goes down as wavelength increases, so your calculation finds the maximum wavelength.
 
  • #3
consider a pair production in a magnetic field of 0.1T. the particle-antiparticle pair have radii of curvature 120mm and 40mm respectively. Calculate the energy of the incident photon.
 

What is pair production minimal wavelength?

Pair production minimal wavelength is the shortest wavelength of a photon that can spontaneously produce an electron-positron pair in a vacuum.

What factors determine the minimal wavelength for pair production?

The minimal wavelength for pair production depends on the energy of the photon and the presence of a charged particle, such as an atomic nucleus, to absorb the excess energy.

How does pair production contribute to the creation of matter in the universe?

Pair production is one of the ways in which matter is created in the universe. When high-energy photons interact with matter, they can create an electron-positron pair, which adds to the total number of particles in the universe.

Can pair production occur in a vacuum?

Yes, pair production can occur in a vacuum as long as there is sufficient energy present to create an electron-positron pair.

What are the practical applications of pair production minimal wavelength?

Pair production minimal wavelength is an important concept in quantum physics and is used in various fields such as particle physics and astrophysics. It also has applications in medical imaging and radiation therapy.

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