To calculate the wavelengths, we use the de Broglie Equation. This equation elates kinetic energy, mass and wavelength. It is expressed as:
λ = h/√(2)KE(m)
For the electron,
λ = 6.626 x 10¯34 J s / √2(1.39x10^-15 J)(9.11x10^-31 kg) = 2.62 x 10^11 m
For the proton,
λ = 6.626 x 10¯34 J s / √2(1.39x10^-15 J)(1.67x10^-27 kg) = 1.43 x 10^8 m
Electron has a higher wavelength than a proton.
