- Cell constant (A): Defined by cell geometry in a conductivity cell, units are cm$^{-1}$.
- Molar conductance (B): The ratio of conductance to molar concentration, units are ohm$^{-1}$ cm$^{2}$ mol$^{-1}$.
- Specific conductance (C): Represents the conductivity of a solution, units are ohm$^{-1}$ cm$^{-1}$.
- Conductance (D): Measures a solution's ability to conduct electricity, units are ohm$^{-1}$.
The correct matching is:
(A) - (I), (B) - (II), (C) - (III), (D) - (IV).
Final Answer: \[\boxed{\text{The correct matching is (A) - (I), (B) - (II), (C) - (III), (D) - (IV).}}\]