Let us examine the given reaction step-by-step:
\begin{itemize}
\item The starting compound is **benzoic acid**, which has the structure:
\[
\text{Benzoic acid: } \mathrm{C_6H_5COOH}
\]
\item The reagent used is **Br\textsubscript{2}/FeBr\textsubscript{3}**, a classic electrophilic bromination reagent that generates the **bromonium electrophile (Br\textsuperscript{+})** in situ via the reaction:
\[
\mathrm{Br_2 + FeBr_3 \rightarrow Br^+ + FeBr_4^-}
\]
\item The type of reaction is **electrophilic aromatic substitution (EAS)**.
\item Now, let’s consider the **substituent effect of –COOH**:
\begin{itemize}
\item The **–COOH (carboxylic acid)** group is an **electron-withdrawing group** due to both inductive $(-I)$ and resonance $(-R)$ effects.
\item Electron-withdrawing groups **deactivate** the aromatic ring toward EAS and are **meta-directing**, i.e., they make electrophilic attack most favorable at the **meta position** relative to themselves.
\end{itemize}
\item So, in benzoic acid, when the Br\textsuperscript{+} electrophile approaches the ring, it prefers the **meta position** over ortho and para because:
\begin{itemize}
\item Ortho and para positions lead to unstable resonance intermediates due to direct competition with the withdrawing –COOH group.
\item Meta position leads to a more stable arenium ion intermediate.
\end{itemize}
\item Therefore, the major product formed will be:
\[
\text{3-bromo benzoic acid (Br at meta position w.r.t. –COOH)}
\]
\item Let’s draw the final product:
\[
\begin{array}{c}
\text{COOH group at position 1, Br at position 3}
\end{array}
\]
\item Incorrect options:
\begin{itemize}
\item (1) Benzoyl bromide is formed when benzoic acid reacts with SOCl\textsubscript{2} followed by reaction with Br\textsubscript{2}, not directly via bromination.
\item (2) Bromobenzene would be formed from benzene, not benzoic acid.
\item (3) 4-bromo benzoic acid is the **para isomer**, but para position is less favorable due to –COOH group being deactivating.
\end{itemize}
\end{itemize}
Thus, the correct answer is:
\[
\boxed{\text{(4) 3-bromo benzoic acid}}
\]