An electron and an alpha particle have the same de Broglie wavelength associated with them. How are their kinetic energies related to each other ?
Given λelectron = λα
de Broglie wavelength associated with a particle of mass m and energy E is
λ = n/2mE
∴ h/√2meEe = h/√2mαEα
That is kinetic energy of electron and -particle are in inverse ratio of these masses.