Match List I with List II

Choose the correct answer from the options given below:

A-III, B-IV, C-I, D-II

The correct answer is option 2. A-III, B-IV, C-I, D-II.

Let us break down the concepts and units associated with each term in the question:

(A) Conductance : (III) mho

Conductance is the measure of how easily electricity flows through a material. It is the reciprocal of resistance.

The unit of conductance is the mho (which is ohm spelled backward) or siemens (S).

(B) Specific conductance : (IV) ohm\(^{-1}\)cm\(^{-1}\)

 Specific conductance, or conductivity, is the conductance of a material per unit length and per unit cross-sectional area. It measures the ability of a substance to conduct electricity.

The unit of specific conductance is ohm\(^{-1}\)cm\(^{-1}\) (also written as S/cm). This unit indicates how much conductance exists in a 1 cm cube of the material.

(C) Specific resistance : (I) ohm cm

Specific resistance, or resistivity, is the resistance offered by a unit length and unit cross-sectional area of a material. It measures how strongly a material opposes the flow of electric current.

The unit of specific resistance is ohm cm. This means that if you have a 1 cm cube of the material, the resistance across it would be measured in ohms.

(D) Molar conductance : (II) ohm\(^{-1}\)cm\(^2\)mol\(mol^{-1}\)

Molar conductance is the conductance of a solution containing one mole of an electrolyte and is related to the specific conductance of the solution. It provides an idea of how well ions can move through a solution.

The unit of molar conductance is ohm\(^{-1}\)cm\(^2\)mol\(^{-1}\). This indicates how much conductance is provided by a mole of electrolyte when dissolved in a solvent.

Conclusion: The correct matching based on the units and definitions is: Option 2: A-III, B-IV, C-I, D-II.