Final answer:
NCl₃ has the largest dipole moment among the given options due to its molecular geometry and electronegativity difference.
Step-by-step explanation:
The molecule with the largest dipole moment among the given options is NCl₃. When determining the dipole moment, we look at the electronegativity difference between the atoms and the molecular geometry.
NCl₃ has a trigonal pyramidal shape, with the chlorine atoms arranged around the nitrogen atom. This arrangement leads to an uneven distribution of electron density, creating a net dipole moment.