Derive an expression for de Broglie wavelength of matter waves.
de Broglie equated the energy equations of Planck (wave) and Einstein (particle).
E=hv (planck's relation)
E=mc2 (Einstein's mass - energy relation)
hv=mc2
hcλ=mc2 (or)
λ=hmc
For a particle moving with a velocity V,
λ=hmV=hp
where p=mV is the momentum of the particle.