Step 1: Understanding the Concept:
Colloidal particles carry an electric charge. In an applied electric field they migrate toward the electrode of opposite charge.
Step 2: Detailed Explanation:
The migration of the dispersed colloidal particles themselves under an electric potential, without any semipermeable membrane, is called electrophoresis. Positively charged sols such as ferric hydroxide move to the cathode, and negatively charged sols such as arsenious sulphide move to the anode.
Step 3: Why the other options are wrong.
Dialysis (A) separates colloidal particles from dissolved ions using a semipermeable membrane. Electroosmosis (C) is the movement of the dispersion medium, not the particles, under an electric field when the particles are held fixed. Brownian motion (D) is the random zigzag motion of colloidal particles due to molecular collisions and needs no electric field.
Final Answer:
The term is electrophoresis, option (B).
\[ \boxed{\text{Electrophoresis (B)}} \]