Step 1: Identify possibilities. Norrish type I = \(\alpha\)-cleavage next to \(C{=}O\) (acyl–\(\alpha\) bond scission). Norrish type II = intramolecular \(\gamma\)-H abstraction by the excited carbonyl oxygen through a six-membered transition state, giving a 1,4-biradical and alkene migration/fragmentation.
Step 2: Analyze \(X\). In \(X\), the carbonyl has a properly aligned \(\gamma\)-hydrogen on the side chain (tertiary/benzylic-like) and the conformation allows the classic six-membered cyclic abstraction. This strongly favors the Type II pathway over \(\alpha\)-cleavage.
Step 3: Analyze \(Y\). In \(Y\), the carbonyl is embedded such that an accessible \(\gamma\)-H is \emph{absent/misaligned} (substitution places a quaternary/sterically hindered center at \(\gamma\)), suppressing the Type II abstraction. Aldehydes/ketones in such cases undergo facile \(\alpha\)-cleavage (Type I), giving acyl and \(\alpha\)-alkyl radicals.
Step 4: Hence \(X\) predominantly shows Norrish II, while \(Y\) undergoes Norrish I \(\Rightarrow\) option (B).