Step 1: Identifying the Materials and their Chemical Formulas.
- Plaster of Paris: Has the chemical formula CaSO\(_4\) \(\cdot\) 1/2H\(_2\)O (Option II).
- Silica: Known as SiO\(_2\) (Option IV).
- Calcium Carbonate: Has the chemical formula CaCO\(_3\) (Option I).
- Boron: Commonly associated with B\(_2\)O\(_3\) (Option III).
Step 2: Conclusion.
Thus, the correct matching is (A) - (II), (B) - (IV), (C) - (I), (D) - (III).