Which is the de-Broglie equation?
De Broglie’s equation allows one to determine the wavelength of electromagnetic radiation given the momentum of its quanta. It is a testament to the wave-particle duality of matter.
Light is both particle & wave. It’s dual in nature. Sometimes it behaves like wave & sometimes a particle.
Louis de Broglie put forward an idea which is known as de-Broglie Hypothesis that, "If waves(EM) have particle properties(photon), why don't particles have wave properties?"
Thus, Matter in motion have a wave associated with it"
He used both Quantum Theory of Planck & Special Relativity.
from Quantum Theory of Radiation,
The energy of the photon,
E=hf
from Special Relativity,
The energy of photon is
E=pc
Therefore we get,
λ=hp
Therefore, h=pλ