Concept:
The modern periodic table is classified into four main blocks (\(s\), \(p\), \(d\), and \(f\)) based on the subshell in which the differentiating (last) electron enters. Different element families and types are positioned in specific blocks based on their electronic configurations.
Step 1: Identify the block for Alkaline Earth metals (A).
Alkaline Earth metals constitute Group 2 of the periodic table (e.g., Beryllium, Magnesium, Calcium). Their valence shell configuration is \(ns^{2}\), meaning the last electron enters the \(s\)-orbital.
Therefore, they belong to the \(s\)-block.
\[ \text{A} \rightarrow \text{I} \]
Step 2: Identify the block for Transition Elements (B).
Transition elements are those that have incompletely filled \(d\)-orbitals in their ground state or in any of their common oxidation states. They occupy the middle section of the periodic table (Groups 3 to 12).
Therefore, they belong to the \(d\)-block.
\[ \text{B} \rightarrow \text{III} \]
Step 3: Identify the block for Transuranic Elements (C).
Transuranic elements are the chemical elements with atomic numbers greater than 92 (which is the atomic number of Uranium). All of these are artificially synthesized and fall under the actinide series, where the \(5f\)-orbitals are progressively filled.
Therefore, they belong to the \(f\)-block.
\[ \text{C} \rightarrow \text{IV} \]
Step 4: Identify the block for Metalloids (D).
Metalloids (such as Boron, Silicon, Germanium, Arsenic, Antimony) exhibit intermediate properties between metals and non-metals. They form a zig-zag line on the right side of the periodic table, where the valence electrons are entering the \(p\)-orbitals.
Therefore, they belong to the \(p\)-block.
\[ \text{D} \rightarrow \text{II} \]
Step 5: Conclusion.
Matching all the pairs correctly:
A \(\rightarrow\) I, B \(\rightarrow\) III, C \(\rightarrow\) IV, D \(\rightarrow\) II.
Hence, the correct option is (B).