Waves

To find the correct relation between the wavelengths ( ) of an electron, a proton, and a deuteron moving with the same speed, we use de Broglie's equation:

where is Planck's constant, is the mass of the particle, and is the velocity (speed).

Given that all particles move with the same speed , the wavelength is inversely proportional to their mass:

Let's compare their masses:

Comparing the masses, we see:

Thus, inversely for wavelengths:

Therefore, the correct relation is: