Step 1: Understanding the reaction.
This reaction is a diazotization reaction where an aromatic amine (aniline) reacts with sodium nitrite (NaNO$_2$) in the presence of copper to form a diazonium salt. This intermediate is then treated with a suitable electrophile (in this case, HBF$_4$) to form the desired product. In this reaction, the product is nitrobenzene (C$_6$H$_5$NO$_2$).
Step 2: Analyzing the options.
(A) C$_6$H$_5$NH$_2$: This is incorrect, as the reaction does not produce an amine.
(B) C$_6$H$_5$NO$_2$: This is the correct product, as nitrobenzene is obtained in this reaction.
(C) C$_6$H$_5$Cl: This is incorrect, as chlorobenzene is not formed in this reaction.
(D) C$_6$H$_5$F: This is incorrect, as fluorobenzene is not formed.
Step 3: Conclusion.
The correct product is C$_6$H$_5$NO$_2$, so the correct answer is (B).