To associate each item from List-I with its corresponding statement in List-II, consider the following definitions:
(A) Ambient nucleophiles: These are electron-donating molecules or ions, common in nucleophilic substitution. Cyanides and nitriles (III) exemplify such nucleophilic compounds.
(B) Plane polarized light: This light oscillates in a single plane. Its detection relates to optical activity, observable with a Nicol Prism (IV), which generates plane polarized light.
(C) Superimposable mirror image: This occurs when an object and its mirror image can be perfectly overlaid, indicating symmetry (I). Symmetrical objects exhibit this property.
(D) $\beta$-elimination reaction: In this reaction, groups are removed from adjacent carbon atoms, typically forming alkenes. The Saytzeff rule (II) guides the prediction of the more substituted product in such reactions.
Conclusion: The established pairings are:
- (A) Ambient nucleophiles → (III) Cyanides and nitriles
- (B) Plane polarized light → (IV) Nicol Prism
- (C) Superimposable mirror image → (I) Symmetrical object
- (D) $\beta$-elimination reaction → (II) Saytzeff rule
Final Answer: \[\boxed{\text{The correct matching is (A) - (III), (B) - (IV), (C) - (I), (D) - (II).}}\]