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The rest energy of an electron is 511 keV. What's the approxi- mate speed of an electron whose total energy is 1 GeV? (Note:

The rest energy of an electron is 511 keV. What's the approxi- mate speed of an electron whose total energy is 1 GeV? (Note:

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The rest energy of an electron is 511 keV. What's the approxi- mate speed of an electron whose total energy is 1 GeV? (Note:
Transcribed Image Text:The rest energy of an electron is 511 keV. What's the approxi- mate speed of an electron whose total energy is 1 GeV? (Note:
Expert Solution
Concept and Principle:
  • As per special relativity time, length, and other physical properties change for an object that is moving. The Lorentz factor or Lorentz term is used to express the change in such properties.

 

  • The Lorentz factor is given by,

γ=11−v2c2

Here v is the relative velocity between inertial reference frames and c is the speed of light.

 

  • The energy of a particle including the relativistic correction will be,

E=γmc2

Here γ is the Lorentz factor and mc2 is the rest mass energy of the particle.

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