Capacitive transducers are highly sensitive devices that can measure very small changes in displacement. The order of displacement that a capacitive transducer can measure typically falls within the range of nanometers ($1 \times 10^{-9}$ m) to micrometers ($1 \times 10^{-6}$ m). However, advanced capacitive sensors can measure displacements in the range of picometers to nanometers.
In this case, the correct answer is $1 \times 10^{-8}$ m, which is within the detectable range for highly sensitive capacitive transducers.