Step 1: Understanding the Question:
We must identify the correct nitrating reagent mixture required to convert phenol into picric acid.
Step 2: Detailed Explanation:
Picric acid is the common name for 2,4,6-trinitrophenol.
Because the hydroxyl (-OH) group on phenol is strongly activating and ortho/para directing, the aromatic ring is highly reactive towards electrophilic aromatic substitution.
- If phenol is treated with dilute $HNO_3$ at low temperatures, it undergoes single nitration to yield a mixture of mostly ortho- and para-nitrophenol.
- However, to achieve complete substitution at all available ortho and para positions simultaneously (forming 2,4,6-trinitrophenol), a much harsher nitrating mixture is required.
- Treating phenol with a nitrating mixture of concentrated $HNO_3$ and concentrated $H_2SO_4$ provides the high concentration of nitronium ions ($NO_2^+$) needed to forcefully tri-nitrate the ring.
Step 3: Final Answer:
The conversion requires a mixture of concentrated $HNO_3$ and concentrated $H_2SO_4$, corresponding to option (c).