Two particles A1 and A2 of masses m1, m2 (m1 > m2) have the same de Broglie wavelength. Then
We know the de Broglie wavelength of a particle is given by,
where h is the Planck’s constant, m is the mass and v is the velocity
where p=mv.
Since h is a constant and the particles have the same de Broglie wavelengths, their momenta are the same.
The kinetic energy of a particle with de Broglie wavelength is given by,
Hence, their energies are different.
m1 > m2
Hence, K2 > K1