Step 1: Understand each process in Column I.
- Corex: It is an advanced smelting reduction process. The heart of this technology is the \emph{melter-gasifier}, which produces liquid hot metal without using coke ovens.
- Electric Arc Furnace (EAF): This furnace produces steel by melting scrap using electrical energy. The EAF process maintains a \emph{hot heel} (a small pool of molten steel retained between heats) to facilitate faster melting and reduce start-up energy.
- Midrex: This process is the most widely used direct reduction process that employs a \emph{natural gas reformer} to convert natural gas into reducing gases (CO + H\(_2\)) for producing Direct Reduced Iron (DRI).
- Continuous Casting: This process solidifies molten steel into semi-finished billets/slabs. A crucial part is the use of an \emph{electromagnetic stirrer}, which improves the internal quality of cast steel by controlling solidification.
Step 2: Match each process with Column II.
- P. Corex → 1. Melter-gasifier
- Q. Electric Arc Furnace → 4. Hot heel
- R. Midrex → 2. Natural gas reformer
- S. Continuous Casting → 3. Electromagnetic stirrer
Step 3: Verify with options.
- (A) P–1, Q–4, R–2, S–3 → All correct.
- (B) P–1, Q–4, R–3, S–2 → Midrex wrongly matched, Continuous casting wrongly matched.
- (C) P–2, Q–4, R–1, S–3 → Corex and Midrex swapped incorrectly.
- (D) P–1, Q–3, R–2, S–4 → EAF and Continuous Casting swapped incorrectly.
Step 4: Conclude.
The correct matching is option (A).
\[
\boxed{\text{Correct Answer = (A) P–1, Q–4, R–2, S–3}}
\]