A proton and an electron are accelerated by the same potential difference. Let λe and λp denote the de Broglie wavelengths of the electron and the proton respectively.
The de Broglie wavelength is given by
Where =Planck’s constant;
=mass of the particle;
=momentum and
=velocity of the particle
Mass of electron kg; mass of proton
kg
.
Therefore, the wavelength of electron is greater than the wavelength of proton