An electron is released from rest and falls under the influence of gravity. In the first centimeter, what fraction of the potential energy lost is radiated away?
Step 1 of 4:
To determine the potential energy radiated by an accelerating electron
Let us consider an accelerating charged particle which radiates away energy
And if for a time ‘T’ , the magnitude of the acceleration is ‘a’, then the energy radiated is given by;
Equation(1) is known as Larmor Formula.
Step 2 of 4:
Now let us consider a particle in its initial state of rest, then the kinetic energy of the particle for time ‘T’ is ,