During the formation of light, the energy is converted to a particle (mass) using E=mc2. But we know that photons do not have mass. What follows is a mathematical derivations
The particle has a momentum (p) defined by Planck’s constant (h) and wavelength ƛ as;
From relativity we know that;
From quantum mechanics energy is defined as;
h is the Planck’s constant
f is the frequency of oscillation of a particle.
Dividing all sides by C
From wave mechanics:
Substituting into the equation and doing the operation we get that;
but mass by speed (MC) is momentum (p) hence
From the wave mechanics equation above rearranging the equation gives us;
Substituting p with the first equation, we find that
The derivation of this equation shows that the photon formed has only velocity mass is zero because from
the value of f is zero because a photon is a wave packet that does not have a definite wavelength and therefore no frequency.
As always thanks for reading. You can also follow the blog by clicking the follow button at the end of the page