Question

When electrons orbit a nucleus, they have acceleration and must, therefore, produce synchrotron radiation. Does the binding energy of the models compensate for such an interaction? Why or why not.

Answer 1

Answer :

When electrons orbits a nucleus, the direction of its movement charges every time so they have acceleration.Due to this acceleration , synchrotron radiation occurs which is the reason for radio emission from galaxy.

The kinetic energy is increased and accelerated charge emits radiation which is because of the force due to acceleration.

This radiation results in energy loss, so the binding energy do compensate for these interactions.

In this case, Total energy loss rate of electron :

where represents the perpendicular acceleration.

so on furthur putting the value of perpendicular acceleration,

on calculating further, we get

Total energy rate loss of electron :