Step 1: Understanding the Concept
Chlorination with \(\text{Cl}_2/\text{FeCl}_3\) is electrophilic aromatic substitution. The \(-\text{Cl}\) group on the ring deactivates it but directs the new group to ortho and para positions.
Step 2: Product Distribution
Both 1,2- and 1,4-dichlorobenzene form.
Step 3: Major Product
The para isomer forms in larger amount because the ortho position is more crowded.
Step 4: Compare the options
1,4-Dichlorobenzene is option (C).
Final Answer:
The major product is 1,4-dichlorobenzene.
\[ \boxed{\text{(C) }\text{1,4-Dichlorobenzene}} \]