The intermolecular interaction that is dependent on the inverse cube of the distance between the molecules is:
Ion-ion interactions are attractive forces between ions with opposite charges. They are also referred to as ionic bonds and are the forces that hold together ionic compounds.
Example:
Ion-Ion interactions ∝1r
An ion-dipole interaction is the result of electrostatic interaction between a charged ion and a molecule that has a dipole.
Ion dipole interactions ∝1r2
London forces are the attractive forces that cause nonpolar substances to condense to liquids and to freeze into solids when the temperature is lowered sufficiently.
London forces∝1r6
A hydrogen bond is a primarily electrostatic force of attraction between a hydrogen atom which is covalently bound to a more electronegative atom or group, and another electronegative atom bearing a lone pair of electrons the hydrogen bond acceptor.
Hydrogen bonding(Dipole-Dipole interactions) ∝1r3
The correct option is D. Hydrogen bond.