Step 1: Understanding the Concept
Functional isomers share a molecular formula but contain different functional groups.
Step 2: Check each pair
Ethyl alcohol (\(\text{C}_{2}\text{H}_{6}\text{O}\)) and propanone (\(\text{C}_{3}\text{H}_{6}\text{O}\)) have different formulae.
Ethene (\(\text{C}_{2}\text{H}_{4}\)) and propyne (\(\text{C}_{3}\text{H}_{4}\)) differ in formula.
n-Butane and isobutane are chain isomers.
Ethyl alcohol and dimethyl ether (\(\text{CH}_{3}\text{OCH}_{3}\)) are both \(\text{C}_{2}\text{H}_{6}\text{O}\), an alcohol and an ether.
Step 3: Compare the options
So the correct pair is ethyl alcohol and dimethyl ether, option (D).
Final Answer:
Ethyl alcohol and dimethyl ether are functional isomers.
\[ \boxed{\text{(D) }\text{Ethyl alcohol and dimethyl ether}} \]