The correct answer is option 'D' - Ion-dipole interaction.

Explanation:

Ion-dipole interaction is a type of intermolecular force that occurs between an ion and a polar molecule. It is dependent on the inverse cube of the distance between the ion and the molecule. Let's break down the explanation further:

Ion-dipole interaction:
- An ion is an atom or a molecule that has gained or lost one or more electrons, resulting in a positive or negative charge. Examples of ions include Na+, Cl-, etc.
- A dipole is a molecule that has a positive end and a negative end due to the unequal distribution of electron density. In other words, it has a separation of charge.
- Ion-dipole interaction occurs when an ion is attracted to the opposite charges of a polar molecule. The positive ion is attracted to the negative end of the polar molecule, and the negative ion is attracted to the positive end of the polar molecule.

Inverse cube of distance:
- The strength of the ion-dipole interaction depends on the distance between the ion and the polar molecule.
- The inverse cube of the distance means that as the distance between the ion and the polar molecule decreases, the strength of the interaction increases.
- In simpler terms, the closer the ion is to the polar molecule, the stronger the interaction.

Other options:

a) Ion-ion interaction:
- Ion-ion interaction occurs between two ions of opposite charges.
- It is dependent on the inverse square of the distance between the ions, not the inverse cube of the distance.

b) Hydrogen bond:
- Hydrogen bond is a specific type of dipole-dipole interaction that occurs between a hydrogen atom bonded to a highly electronegative atom (such as oxygen, nitrogen, or fluorine) and another electronegative atom in a different molecule.
- It is not dependent on the inverse cube of the distance, but rather on the strength of the hydrogen bond itself.

c) London force:
- London dispersion force, also known as London force or dispersion force, is an intermolecular force that occurs between all molecules, both polar and nonpolar.
- It is caused by temporary fluctuations in electron distribution, resulting in temporary dipoles.
- London forces are also not dependent on the inverse cube of the distance, but rather on the temporary dipoles and the size of the molecules involved.

In conclusion, the intermolecular interaction that is dependent on the inverse cube of distance between the molecule is ion-dipole interaction (option D).