Step 1: Key words:
"Movement of colloidal particles", "applied electric potential" and "without a semipermeable membrane".
Step 2: Match:
Particles moving in an electric field is electrophoresis. If the medium moves instead, it is electroosmosis. If a membrane is used to purify the sol, it is dialysis, and random motion without a field is Brownian motion.
Step 3: Choose:
The description fits electrophoresis only.
Final Answer:
Electrophoresis fits the description, option (B).
\[ \boxed{\text{Electrophoresis (B)}} \]