Step 1: Identify the chemical name of DDT
DDT stands for \textit{Dichlorodiphenyltrichloroethane}.
Its IUPAC name is \textit{1,1,1-trichloro-2,2-bis(p-chlorophenyl)ethane}.
Step 2: Recall the structure of DDT
The structure of DDT consists of:
- A central ethane backbone
- One carbon atom bonded to three chlorine atoms ($\mathrm{CCl_3}$ group)
- The adjacent carbon bonded to two \textit{para}-chlorophenyl rings
Thus, the structure can be represented as:
\[
\mathrm{(p\text{-}ClC_6H_4)_2CHCCl_3}
\]
Step 3: Analyze the given options
- Option A: Contains a $\mathrm{CCl_2}$ group instead of $\mathrm{CCl_3}$ $\Rightarrow$ Incorrect
- Option B: Contains an $-$OH group $\Rightarrow$ Not a feature of DDT $\Rightarrow$ Incorrect
- Option C: Shows two \textit{para}-chlorophenyl groups attached to a carbon, along with a $\mathrm{CCl_3}$ group $\Rightarrow$ Correct
- Option D: Chlorine atoms are not in the \textit{para} position $\Rightarrow$ Incorrect
Step 4: Conclusion
The correct structural formula of DDT is represented by:
\[
\boxed{\text{Option C
\]