To solve this matching question related to the concepts of conductivity in chemistry, we will identify the correct matches based on the definitions and units of the terms provided in List-I and List-II.
- Cell constant (A - I): The cell constant is a geometrical factor that relates to the setup of the conductivity cell. It is defined as the ratio of the distance between the electrodes to the area of cross-section of the electrodes. The unit of cell constant is \(\text{cm}^{-1}\).
- Molar conductance (B - II): Molar conductance refers to the conductance of an electrolyte solution divided by its concentration, normalized to one mole of electrolyte. It has the unit \(\Omega^{-1}\,\text{cm}^2\,\text{mol}^{-1}\).
- Specific conductance (C - III): Also known as conductivity, specific conductance is the conductance of a solution of unit length and unit cross-sectional area. Its unit is \(\Omega^{-1}\,\text{cm}^{-1}\).
- Conductance (D - IV): Conductance is a measure of how easily electricity flows through a material. It is the reciprocal of resistance, and its unit is \(\Omega^{-1}\).
From the above analysis, the correct matches from List-I to List-II are:
- (A) Cell constant - (I) \(\text{cm}^{-1}\)
- (B) Molar conductance - (II) \(\Omega^{-1}\,\text{cm}^2\,\text{mol}^{-1}\)
- (C) Specific conductance - (III) \(\Omega^{-1}\,\text{cm}^{-1}\)
- (D) Conductance - (IV) \(\Omega^{-1}\)
The correct answer is therefore (A) - (I), (B) - (II), (C) - (III), (D) - (IV).