Concept:
We first identify compounds \(A\), \(B\) and \(C\) from the given reaction sequence and then compare their reactions with the given reagents.
Step 1: Identify compound A.
Hydration of acetylene in the presence of \(Hg^{2+}/H^+\) gives acetaldehyde.
\[
HC\equiv CH
\xrightarrow{H_2O/Hg^{2+}}
CH_3CHO
\]
Hence,
\[
A=CH_3CHO
\]
(Ethanal)
Step 2: Identify compound B.
Ethanal reacts with methyl magnesium bromide followed by hydrolysis.
\[
CH_3CHO + CH_3MgBr
\longrightarrow
CH_3CH(OH)CH_3
\]
Thus,
\[
B=CH_3CH(OH)CH_3
\]
(2-Propanol)
Step 3: Identify compound C.
Passing 2-propanol over heated copper at \(573K\) causes dehydrogenation.
\[
CH_3CH(OH)CH_3
\xrightarrow{Cu,573K}
CH_3COCH_3
\]
Hence,
\[
C=CH_3COCH_3
\]
(Acetone)
Step 4: Examine the given tests.
Acidified dichromate:
\[
CH_3CHO
\]
is oxidized whereas acetone is not easily oxidized.
Hence distinguishes A and C.
Fehling's reagent:
Ethanal gives positive test.
Acetone gives negative test.
Hence distinguishes A and C.
Tollens' reagent:
Ethanal gives silver mirror.
Acetone does not.
Hence distinguishes A and C.
Iodoform test:
Both ethanal and acetone contain the required structural unit.
\[
CH_3CHO
\]
and
\[
CH_3COCH_3
\]
both give positive iodoform test.
Hence they cannot be distinguished.
\[
\boxed{\text{Answer = (D)}}
\]