Explanation:

Hydrogen bonding occurs when a hydrogen atom is bonded to a highly electronegative atom such as nitrogen (N), oxygen (O), or fluorine (F). This type of bonding is a special type of dipole-dipole interaction where the hydrogen atom acts as a bridge between two electronegative atoms.

In the given options, only HF (hydrogen fluoride) contains a hydrogen atom bonded to a highly electronegative atom (fluorine), making it capable of forming hydrogen bonds.

Hydrogen bonding in HF:
- In HF, the hydrogen atom is bonded to fluorine, which is highly electronegative.
- The fluorine atom attracts the electron pair in the H-F bond, creating a partial positive charge on the hydrogen atom and a partial negative charge on the fluorine atom.
- This partial positive charge on the hydrogen atom can then form a hydrogen bond with another electronegative atom, such as another HF molecule.
- The hydrogen bond is formed between the partial positive charge on the hydrogen atom of one HF molecule and the partial negative charge on the fluorine atom of another HF molecule.

Linear polymeric structure:
- In the case of HF, the hydrogen bonds can form between multiple HF molecules, resulting in the formation of a linear polymeric structure.
- The hydrogen bonds act as bridges between the HF molecules, connecting them in a linear chain-like structure.

Other options:
- NH3 (ammonia), H2O (water), and HCl (hydrochloric acid) do not contain a hydrogen atom bonded to a highly electronegative atom, so they cannot form hydrogen bonds.
- NH3 and HCl can form dipole-dipole interactions, but these interactions are not strong enough to result in the formation of a linear polymeric structure.
- H2O can form hydrogen bonds, but the arrangement of the hydrogen bonds in water molecules does not lead to the formation of a linear polymeric structure.

Therefore, the molecule that will form a linear polymeric structure due to hydrogen bonding is HF.