Step 1: Think about how each device captures particles.
Gravity settling chambers and cyclone separators rely on particle weight and inertia, which works well only for coarse particles.
Step 2: See why sub-micron particles need a different approach.
Particles smaller than $1\ \mu\mathrm{m}$ are too light for gravity or inertial forces to catch effectively, so a different collection mechanism is needed.
Step 3: Bring in the electrostatic precipitator.
An ESP charges the particles electrically and then pulls them onto collector plates using an electric field, a force that works even on very fine and sub-micron dust, giving it the highest collection efficiency among the listed devices.
\[ \boxed{\text{Electrostatic precipitator}} \]