Most stable carbocation is

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(A) The stability of a carbocation is primarily determined by resonance,hyperconjugation,and inductive effects. $1$. The fluorenyl cation (Option $A$)

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Fluorenyl cation

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(A) The stability of a carbocation is primarily determined by resonance,hyperconjugation,and inductive effects. $1$. The fluorenyl cation (Option $A$) is highly stable because the positive charge is delocalized over two benzene rings,making it an aromatic system ($14 \pi$ electrons in the conjugated system). $2$. The indenyl cation (Option $B$) is also aromatic ($6 \pi$ electrons),but it is less stable than the fluorenyl cation due to less extensive delocalization. $3$. The indanyl cation (Option $C$) and bicyclo[$4.3$.$0$]nonyl cation (Option $D$) are non-aromatic and significantly less stable. Therefore,the fluorenyl cation is the most stable among the given options.

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