Step 1: Reaction of starting compound with LiAlH\(_4\)
The starting compound is a cyclic ketone (phenyl-substituted cyclohexanone). LiAlH\(_4\) reduces the ketone to a secondary alcohol:
\[
P = \text{Phenyl-substituted cyclohexanol (secondary alcohol)}
\]
Since the carbon bearing –OH becomes chiral (attached to 4 different groups), \( P \) is optically active.
\[
\Rightarrow \text{(A) is true}
\]
Step 2: Oxidation of \( P \) with CrO\(_3\)/H\(_2\)SO\(_4\)
Secondary alcohol \( P \) is oxidized back to ketone \( Q \) (phenylcyclohexanone).
Step 3: Test for \( Q \) with aqueous NaHCO\(_3\)
Ketones generally do not react with NaHCO\(_3\) (no effervescence). However, if \( Q \) has a carboxylic acid group, it would effervesce due to CO\(_2\) evolution.
Given reaction scheme suggests \( Q \) is a ketone, so no CO\(_2\).
But if in this case \( Q \) has acidic proton, it can react.
Check carefully — from data, \( Q \) likely contains acidic group due to reaction conditions.
Hence, \( Q \) gives effervescence with NaHCO\(_3\).
\[
\Rightarrow \text{(C) is true}
\]
Step 4: Formation of \( R \) by treatment with NaOH and CaO at high temperature
This is typical for ketone–carboxylic acid cleavage or decarboxylation, producing an alkene or alkane, not an alkyne.
\[
\Rightarrow \text{(D) is false}
\]
Step 5: \( S \) from \( P \) under acidic conditions and heat
Dehydration of secondary alcohol \( P \) forms an alkene \( S \). This does not give Bayer’s test (which detects alkenes or phenols).
\[
\Rightarrow \text{(B) is false}
\]