Aromatic compounds are planar, cyclic and completely conjugated systems. They follow $$\left(4n+2\right)\pi\ e^-$$ rule called Huckel rule.
- $$p$$-Benzoquinone: Non-aromatic. The ring is not fully conjugated due to the $$sp^{2}$$ carbons of the carbonyl groups being part of external double bonds.
- Tropylium cation $$(C_{7}H_{7}^{+})$$: Aromatic. It is cyclic, planar, and has $$6\pi$$ electrons $$(n=1)$$.
- Phenanthrene: Aromatic. It is a polycyclic aromatic hydrocarbon with $$14\pi$$ electrons $$(n=3)$$.
- 1,2-Dihydronaphthalene: Aromatic. If a compound contains at least one aromatic ring, it is generally considered aromatic overall.
- Cyclobutadiene dication $$(C_{4}H_{4}^{2+})$$: Aromatic. It has $$2\pi$$ electrons $$(n=0)$$, making it Huckel-aromatic.
- Cyclohexadienyl anion: Non-aromatic. One carbon atom is $$sp^{3}$$ hybridized, which prevents the ring from being fully conjugated.
Hence, Option B is Correct.