Solution
Core Logic
The stability of arenediazonium salts is dictated by the ability of substituents on the benzene ring to disperse the positive charge on the diazonium group (-N₂^+).
Electron-donating groups (EDG) increase the stability by resonance (+M effect) and inductive (+I) effects, dispersing the positive charge. Electron-withdrawing groups (EWG) decrease the stability by intensifying the positive charge (-M, -I effects).
Let's evaluate the given substituents at the para position: (A) -OCH₃: Strong +M effect. Highly stabilizing. (C) Plain benzene ring: Neutral baseline. (D) -CN: Strong -M and -I effect. Destabilizing. (B) -NO₂: Very strong -M and -I effect. Most destabilizing.
Step 1: Final Conclusion
Arranging them in decreasing order of stability: (A) -OCH₃ (+M) > (C) Baseline > (D) -CN (-M) > (B) -NO₂ (Stronger -M). Thus, the correct order is A > C > D > B.
Pattern Recognition
Stability of carbocations and diazonium ions follows: +M > +I > no effect > -I > -M. Look directly at the para group to rank.
Chapter Mix
Class 12 Chemistry: Amines Class 11 Chemistry: Organic Chemistry - Some Basic Principles and Techniques