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Assuming particles can be formed due to thermal interactions alone, calculate the minimum temperature required for the creation of, c) Electron

Assuming particles can be formed due to thermal interactions alone, calculate the minimum temperature required for the creation of, c) Electron

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Assuming particles can be formed due to thermal interactions alone, calculate the minimum temperature required for the creation of, c) Electron
Transcribed Image Text:Assuming particles can be formed due to thermal interactions alone, calculate the minimum temperature required for the creation of, c) Electron
Expert Solution
Concept and Principle:
  • In special relativity, all particles have two different masses rest and relativistic mass. Rest mass or invariant mass remains constant in all frames of reference. Relativistic mass keeps changing with the velocity of the particle.

 

  • Thus to create a particle through thermal interaction we need to have a temperature high enough to match the rest mass energy, which is the amount of energy a particle has due to its rest mass due to the mass-energy equivalence principle. This temperature is given,

T=mc2k

Here m is the mass of the particle, c is the speed of light, and k is the Boltzmann constant. Here mc2 is the rest mass energy of the particle.

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