Here are the essential concepts you must grasp in order to answer the question correctly.
Electronegativity
Electronegativity is a measure of an atom's ability to attract and hold onto electrons in a chemical bond. In the case of HCl and HF, fluorine is more electronegative than chlorine, which means that the H—F bond has a greater polarity. This difference in electronegativity contributes significantly to the dipole moment, as the more electronegative atom (F) pulls the electron density closer, creating a stronger dipole.
Recommended video:
Bond Length and Dipole Moment
The dipole moment of a molecule is influenced by both the bond length and the difference in electronegativity between the bonded atoms. Although H—Cl is longer than H—F, the dipole moment is not solely determined by bond length. The greater electronegativity of fluorine results in a stronger dipole moment in HF, despite the shorter bond length, leading to a higher overall dipole moment compared to HCl.
Recommended video:
How dipole-dipole forces work.
Vector Nature of Dipole Moments
Dipole moments are vector quantities, meaning they have both magnitude and direction. The overall dipole moment of a molecule is the vector sum of the individual bond dipoles. In HCl, the bond dipole is less significant due to the lower electronegativity of chlorine compared to fluorine, resulting in a smaller net dipole moment for HCl, despite the longer bond length.
Recommended video:
How dipole-dipole forces work.