Compounds B, C, and D are aromatic. Aromatic compounds must follow Huckel’s rule (\(4n + 2\) electrons) and have a planar, conjugated structure. Compound A is not aromatic as it does not satisfy these criteria.
The correct increasing order of stability of the complexes based on \( \Delta \) value is:
Match List-I with List-II: List-I
List I (Molecule) | List II (Number and types of bond/s between two carbon atoms) | ||
A. | ethane | I. | one σ-bond and two π-bonds |
B. | ethene | II. | two π-bonds |
C. | carbon molecule, C2 | III. | one σ-bonds |
D. | ethyne | IV. | one σ-bond and one π-bond |
Let A be a 3 × 3 matrix such that \(\text{det}(A) = 5\). If \(\text{det}(3 \, \text{adj}(2A)) = 2^{\alpha \cdot 3^{\beta} \cdot 5^{\gamma}}\), then \( (\alpha + \beta + \gamma) \) is equal to: