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(D) The aromatic compounds are those that satisfy the following conditions:$(i)$ The compound must be cyclic and planar.$(ii)$ There must be complete

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$II$ and $IV$

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(D) The aromatic compounds are those that satisfy the following conditions:$(i)$ The compound must be cyclic and planar.$(ii)$ There must be complete delocalization of $\pi$ electrons in the ring.$(iii)$ It must follow $H$ückel's rule,i.e.,it must contain $(4n+2) \pi$ electrons,where $n$ is an integer $(n = 0, 1, 2, \dots)$.Analysis of the given structures:$(I)$ Fulvene: It is non-aromatic because the exocyclic double bond makes the structure non-planar or prevents continuous conjugation.$(II)$ Azulene: It has $10 \pi$ electrons ($4n+2$ with $n=2$),is cyclic,and planar. It is aromatic.$(III)$ Cycloheptatriene: It is non-aromatic because one carbon atom is $sp^3$ hybridized,which breaks the continuous conjugation.$(IV)$ Thiophene: It has $6 \pi$ electrons ($4n+2$ with $n=1$) including the lone pair on sulfur participating in conjugation. It is aromatic.Thus,compounds $(II)$ and $(IV)$ are aromatic.Therefore,the correct option is $(d).$

Among the following,the aromatic compounds are:

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