The basicity of the given molecules is evaluated by considering the electron-donating and electron-withdrawing impacts of substituents on the phenyl ring.
- (A): \(\text{C}_6\text{H}_4\text{NH}_2\text{O}\) (The hydroxyl group, an electron-donating substituent, enhances the basicity of the amine.)
- (B): \(\text{C}_6\text{H}_4\text{NH}_2\text{MeO}\) (The methoxy group, a potent electron-donator, further elevates the amine's basicity.)
- (C): \(\text{C}_6\text{H}_4\text{NH}_2\text{NO}_2\) (The nitro group, a strong electron-withdrawer, diminishes the amine's basicity.)
- (D): \(\text{C}_6\text{H}_4\text{NH}_2\text{CH}_3\) (The methyl group, a weak electron-donator, exerts a less pronounced effect compared to the hydroxyl or methoxy groups.) The ranking of basic strength is dictated by the electron-donating capacity of the substituents. Consequently, the order is: \[ \text{B}>\text{A}>\text{D}>\text{C} \] The correct sequence is \( B>A>C>D \), corresponding to option (4).