Which of the following units is correctly matched?

Options

A. SI units of conductivity is `Sm^(-1)`
B. SI units of molar conductivity is `Scm^2mol^(-1)`
C. SI unit of conductance is `S^(-1)`
D. All of these

Answer

To solve the question regarding which of the following units is correctly matched, we will analyze the units of conductivity and molar conductivity step by step.

### Step-by-Step Solution:

1. **Understanding Conductivity**:
- Conductivity (κ) is a measure of a material's ability to conduct electricity.
- The SI unit of conductivity is Siemens per meter (S/m).

2. **Analyzing the First Option**:
- The first option states that the SI unit of conductivity is Siemens per meter inverse.
- This is correctly stated as S/m, which confirms that this option is correct.

3. **Understanding Molar Conductivity**:
- Molar conductivity (Λ) is defined as the conductivity of a solution divided by its molarity.
- The formula for molar conductivity is given by:
\[ \Lambda = \kappa \times \frac{1000}{C} \]
where κ is the conductivity and C is the molarity.

4. **Analyzing the Second Option**:
- The second option states that the SI unit of molar conductivity is cm²/mol.
- To find the SI unit of molar conductivity, we know that:
- The SI unit of conductivity (κ) is S/m (or equivalently, C/(V·s·m)).
- Molarity (C) has the unit mol/m³.
- Therefore, the SI unit of molar conductivity can be derived as follows:
\[ \text{Molar Conductivity} = \frac{\text{Conductivity}}{\text{Molarity}} = \frac{S/m}{mol/m^3} = S \cdot m^2 \cdot mol^{-1} \]
- This means the correct SI unit of molar conductivity is S·m²·mol⁻¹, not cm²/mol. Hence, this option is incorrect.

5. **Conclusion**:
- The first option (SI unit of conductivity is Siemens per meter) is correct.
- The second option (SI unit of molar conductivity is cm²/mol) is incorrect.

### Final Answer:
The correctly matched unit is: **SI unit of conductivity is Siemens per meter (S/m)**.