Concept:
Benzene diazonium chloride undergoes an azo coupling reaction with activated aromatic compounds such as phenol and aniline.
Phenol activates the benzene ring due to the electron-donating nature of the \(-OH\) group.
As a result, coupling occurs mainly at the para position to form an azo compound containing the characteristic azo linkage
\[
\boxed{-N=N-.}
\]
These coloured compounds are known as azo dyes.
Step 1: Identify the reactants.
The reactants are
Benzene diazonium chloride
and
\[
\text{Phenol}.
\]
Phenol is a highly activated aromatic compound and readily undergoes electrophilic substitution.
Step 2: Understand the azo coupling reaction.
The diazonium ion acts as an electrophile.
It couples with the aromatic ring of phenol at the para position to form
\[
\boxed{\text{p-hydroxyazobenzene}.}
\]
The reaction is represented as
\[
C_{6}H_{5}N_{2}^{+}Cl^{-}
+
C_{6}H_{5}OH
\longrightarrow
HO-C_{6}H_{4}-N=N-C_{6}H_{5}.
\]
Step 3: Identify the product.
The product formed is
\[
\boxed{\text{p-hydroxyazobenzene}}
\]
which is an
\[
\boxed{\text{Azo dye}.}
\]
Hence,
\[
\boxed{\textbf{Option (A)}}
\]
is the correct answer.