Step 1: Examine Statement-I.
Phenol is more acidic than alcohols because the phenoxide ion formed after the loss of a proton is resonance stabilized.
\[
\boxed{
\mathrm{C_6H_5OH \rightleftharpoons C_6H_5O^- + H^+}
}
\]
The negative charge on the oxygen atom is delocalized over the aromatic ring through resonance.
Hence,
\[
\boxed{\text{Statement-I is correct}.}
\]
Step 2: Examine Statement-II.
Phenol reacts with acidified sodium dichromate
\[
\left(\mathrm{Na_2Cr_2O_7/H_2SO_4}\right)
\]
and gets oxidized to quinones.
Therefore, the statement that phenol has no reaction with
\[
\mathrm{Na_2Cr_2O_7}
\]
and concentrated
\[
\mathrm{H_2SO_4}
\]
is incorrect.
Hence,
\[
\boxed{\text{Statement-II is not correct}.}
\]
Step 3: Choose the correct option.
Therefore,
\[
\boxed{\text{Statement-I is correct but Statement-II is not correct}.}
\]
Hence, the correct option is \(\boxed{(B)}\).