Step 1: Approach
Compare the starting material and the product atom by atom.
Step 2: Comparison
Start: one OH and five ring carbons with hydrogen. End: two C=O groups at the 1 and 4 positions, with two C=C bonds left in the ring. Oxygen has been added and hydrogen removed, which means oxidation.
Step 3: Reagent
A strong oxidising agent such as chromic acid (CrO$_3$) does this. Zinc dust is reducing, concentrated sulfuric acid at 443 K is a dehydrating condition, and carbon disulfide is a solvent for bromination.
Step 4: Conclusion
Condition A is oxidation with $\text{CrO}_3$, option (D).
Final Answer:
Phenol is oxidised by chromic acid to p-benzoquinone, option (D).
\[ \boxed{\text{Oxidation with CrO}_3} \]