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