Step 1: Identify product \(Y\).
The reaction sequence converts benzene into toluene through bromination, Wurtz-Fittig reaction and Friedel-Crafts alkylation.
Oxidation of toluene under
\[
\mathrm{O_2,\ V_2O_5,\ 773\,K}
\]
gives
\[
\boxed{\mathrm{Benzoic\ acid}.}
\]
Thus,
\[
Y=\mathrm{C_6H_5COOH}.
\]
Step 2: Check Statement-I.
Benzoic acid does not undergo bromination with
\[
\mathrm{Br_2/UV}
\]
to give aryl bromide.
Hence,
\[
\boxed{\text{Statement-I is incorrect}.}
\]
Step 3: Check Statement-II.
Benzoic acid does not undergo Etard oxidation
\[
\mathrm{CrO_3/(CH_3CO)_2O}
\]
to form another acidic product.
Hence,
\[
\boxed{\text{Statement-II is also incorrect}.}
\]
Therefore,
\[
\boxed{(B)}
\]
is the correct answer.