What is de broglie theory
Dear student,
According to de Broglie’s hypothesis, a moving material particle sometimes acts as a wave and sometimes as a particle; or a wave is associated with a moving material particle, which controls the particle in every respect. The wave associated with moving particle is called matter-wave or de Broglie wave,
Where m and v are the mass and velocity of the particle and h is Planck’s constant
According to Planck’s quantum theory, the energy of a photon of a radiation of frequency ν and wavelength λ is
E = hν
According to Einstein’s mass-energy relation,
E = mc2
From (i) and (ii), we obtain
h ν = mc 2
=> m = hv/c2
Since each photon moves with the same velocity c, the momentum of photon,
p = Mass × Velocity
So, p = (hv/c2)× c = hv/c = h/λ
That is,
λ = h/p
This equation is equally applicable to both the photons of radiation and other material particles.
Regards
Dear student,
According to de Broglie’s hypothesis, a moving material particle sometimes acts as a wave and sometimes as a particle; or a wave is associated with a moving material particle, which controls the particle in every respect. The wave associated with moving particle is called matter-wave or de Broglie wave,
Where m and v are the mass and velocity of the particle and h is Planck’s constant
According to Planck’s quantum theory, the energy of a photon of a radiation of frequency ν and wavelength λ is
E = hν
According to Einstein’s mass-energy relation,
E = mc2
From (i) and (ii), we obtain
h ν = mc 2
=> m = hv/c2
Since each photon moves with the same velocity c, the momentum of photon,
p = Mass × Velocity
So, p = (hv/c2)× c = hv/c = h/λ
That is,
λ = h/p
This equation is equally applicable to both the photons of radiation and other material particles.
Regards
