The correct option is C I<II<IV<III
pKb∝1Basic strength (Kb)
Kb∝+I, +M effect
Kb∝1−I,−M effect
Due to +R effect of −OCH3 group, the electron density on N of compound (I) increases and it is the most basic among the following.
Compound (III) and (IV) are less basic compared to I and II because they have meta-directing group which reduce the electron density at meta position. Comparing III and IV, compound III is less basic because CN is strong electron withdrawing group so by -I effect , the electron density on nitrogen decrease and it becomes the least basic.
Thus, correct order of basicity is
I>II>IV>III
Hence, correct order of pKb value is
I<II<IV<III