Step 1: Understanding the Concept
Pyridinium chlorochromate (PCC) is a mild oxidising agent. It converts a primary alcohol to an aldehyde and stops there.
Step 2: Calculation
The aldehyde \(\text{C}_{2}\text{H}_{4}\text{O}\) is ethanal, \(\text{CH}_{3}\text{CHO}\). It has two carbon atoms, so A must be a two-carbon primary alcohol: \(\text{CH}_{3}\text{CH}_{2}\text{OH}\xrightarrow{\text{PCC}}\text{CH}_{3}\text{CHO}\).
Step 3: Compare the options
Methanol has one carbon. Ethanal is the product itself. Ethanoic acid is more oxidised than the aldehyde. So A is ethanol.
Final Answer:
Compound A is ethanol.
\[ \boxed{\text{(B) }\text{Ethanol}} \]