Step 1: Understanding the Concept:
This exercise requires pairing key physical parameters from electrodynamics with their internationally standardized units of measurement (SI units). These derived units are named to honor pioneering physicists who laid the foundations for modern electromagnetic theory.
Step 2: Detailed Explanation:
Let's analyze and define each quantity from Column I along with its corresponding standard SI unit from Column II:
1. (A) Magnetic flux ($\Phi_B$): Measures the total dot-product sum of magnetic field lines passing through a specified surface area. Its dedicated SI unit is the (II) Weber ($\text{Wb}$), which can also be broken down into volt-seconds ($\text{V}\cdot\text{s}$). Hence, A matches with II.
2. (B) Magnetic field ($B$): Also known as magnetic flux density or magnetic induction, this represents the force exerted per unit current per unit length. Its standard SI unit is the (I) Tesla ($\text{T}$), which is equivalent to webers per square meter ($\text{Wb/m}^2$). Hence, B matches with I.
3. (C) Capacitance ($C$): Measures the ability of a system of conductors to store electric charge per unit potential difference ($C = Q/V$). Its standard SI unit is the (III) Farad ($\text{F}$), equivalent to coulombs per volt ($\text{C/V}$). Hence, C matches with III.
4. (D) Resistance ($R$): Quantifies the opposition a material offers to the continuous flow of an electric current, governed by Ohm's Law ($R = V/I$). Its standard SI unit is the (IV) Ohm ($\Omega$), equivalent to volts per ampere ($\text{V/A}$). Hence, D matches with IV.
Combining these individual pairs yields the matching sequence: A-II, B-I, C-III, D-IV. This matches option (A).
Step 3: Final Answer:
The correct matching sequence is A-II, B-I, C-III, D-IV.