Concept:
Matching questions are solved by identifying similar periodic properties between given pairs of elements.
We analyse each pair carefully.
Step 1: Analyse pair A: Co, Ni
Cobalt and nickel have nearly identical:
Metallic radii
This happens because of poor shielding effect of \(3d\) electrons.
Thus:
\[
A \rightarrow III
\]
Step 2: Analyse pair B: K, Ba
Potassium and barium possess nearly same:
Standard reduction potential
Both have highly negative reduction potentials.
Thus:
\[
B \rightarrow IV
\]
Step 3: Analyse pair C: N, Cl
Nitrogen and chlorine have almost same:
Electronegativity
Approximate values:
\[
\chi_N \approx 3.0
\]
\[
\chi_{Cl} \approx 3.0
\]
Thus:
\[
C \rightarrow I
\]
Step 4: Analyse pair D: Ar, Kr
Argon and krypton have positive electron gain enthalpies.
Their electron gain enthalpy behaviour is similar because noble gases possess stable electronic configurations.
Thus:
\[
D \rightarrow II
\]
Step 5: Write final matching.
Therefore:
\[
A-III,\quad B-IV,\quad C-I,\quad D-II
\]
Hence the correct option is:
\[
\boxed{(D)}
\]