
The question involves evaluating the relative stability of resonance structures. The stability of resonance structures mainly depends on the following factors:
Analyzing the given resonance structures:
Based on the above analysis, the order of relative stability is:
\(I > II > III\)
Structure I is the most stable because it is a neutral resonating structure. In general, neutral structures are more stable compared to charged structures.
Structure II is less stable than I because it involves a positive charge on a less electronegative atom compared to structure III. However, it is more stable than III because the negative charge in III is on a carbon atom, making it the least stable due to charge separation.
Structure III is the least stable among the three due to the presence of a negative charge on carbon and overall charge separation, making it highly unstable.
The Correct answer is: \(I >II >III\)

The correct order of acidic strength of the major products formed in the given reactions is: 
If \[ \frac{\cos^2 48^\circ - \sin^2 12^\circ}{\sin^2 24^\circ - \sin^2 6^\circ} = \frac{\alpha + \beta\sqrt{5}}{2}, \] where \( \alpha, \beta \in \mathbb{N} \), then the value of \( \alpha + \beta \) is ___________.