Step 1: Understanding the Concept
Colloidal particles carry an electric charge, so they migrate in an electric field.
Step 2: Name the property
Movement of the colloidal particles towards the oppositely charged electrodes is called electrophoresis.
Step 3: Eliminate
Brownian motion is random zig-zag motion, electroosmosis is movement of the dispersion medium and dialysis is purification through a membrane.
Final Answer:
The property is electrophoresis.
\[ \boxed{\text{(B) }\text{Electrophoresis}} \]