There are two types of smoke detectors: optical and ionization.
The optical detector sends a beam of light through a detection area, and has a light sensor offset from the direction of the beam. If smoke particles enter the detection area, they scatter the light, causing some of it to fall on the detector. When the detector detects light, it sets off the alarm.
The ionization detector uses alpha particles from Americium-241 to ionize gas within a tube, permitting an electric current to flow through the gas. The detection area is between the alpha source and the tube; if smoke enters the detection area, it scatters the alpha particles and reduces the ionization of the gas in the tube, which restricts the electric current. The reduced electric current sets off the alarm.
Quite likely, either of these answers would have been correct and justifiable, but the answer the test was looking for was probably the second.