Question

In: Physics

An electron is accelerated from rest, at a speed of 0.9995c in a particle accelerator.a) Determine,...

An electron is accelerated from rest, at a speed of 0.9995c in a particle accelerator.a) Determine, the resting energy of the electron, b) the total energy (electrons), the kinetic energy in millions of electrons or MeV.

Expert Solution

An electron is accelerated from rest, at a speed of in a particle accelerator.

So, the speed of the electron is, .

1. Now if the rest mass of an electron is,

So the rest mass energy of an electron is, , where is the speed of light in free space.

2. Total energy of electron can be written as,

Where is the kinetic energy of the electron.

Now the relativistic factor

where

Now the Total energy of the electron is given by , by Einstein formula,

So the kinetic energy of the electron is,

genius_generous answered 6 months ago

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