Step 1: Understanding the Concept:
The strength of a conjugate acid is inversely proportional to the strength of its parent base. A weak base will produce a strong conjugate acid.
Step 3: Detailed Explanation:
Basicity of substituted anilines depends on the electron density on the Nitrogen atom.
- \(OCH_3\) (B) is an EDG (\(+M\)), making the amine more basic.
- \(CH_3\) (D) is an EDG (\(+I\) and hyperconjugation), making it more basic.
- \(NO_2\) (C) is a very strong EWG (\(-M\) and \(-I\)), which heavily withdraws electron density from Nitrogen, making p-nitroaniline the weakest base.
Since p-nitroaniline is the weakest base among the choices, its conjugate acid (\(p-NO_2-C_6H_4-NH_3^+\)) will be the strongest conjugate acid.
Step 4: Final Answer:
The strongest conjugate acid results from p-nitroaniline.