Step 1. Identify Aromatic Stability: The most stable species among the options will be the one that is aromatic as aromatic compounds exhibit additional stability due to delocalized π-electrons.
Step 2. Analyze Each Structure: Option (1): This structure satisfies Huckel’s rule (4n + 2) for aromaticity and has a planar conjugated ring structure, making it aromatic and stable. Other Options: Do not satisfy Huckel’s rule or are non-aromatic.
Step 3. Conclusion: Option (3) is the most stable due to its aromaticity.
Complete the following reactions by writing the structure of the main products:
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: