In: Physics
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.
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,