When one material disperses in another due to the random motion of particles, it is called boiling vaporization diffusion melting

The correct answer is diffusion.

Explanation:

Boiling is a physical process in which a liquid gets converted into gas state at its boiling temperature.

Vaporization is a process in which a liquid gets converted into vapor phase.

Diffusion is a process in which a movement of substance takes place from a high concentration area to a low concentration area due to the random movement of the particles. Diffusion happens in gases and liquids because of the random movement of their particles.

Melting is a physical process in which a solid gets converted into liquid phase at its melting temperature.

Hence, the correct answer is diffusion.