Step 1: Reaction with Grignard reagent.
Cyclopentanone reacts with methyl magnesium bromide:
\[
CH_3MgBr
\]
The methyl group attacks the carbonyl carbon of cyclopentanone.
After acidic hydrolysis,
\[
H_3O^+
\]
a tertiary alcohol is formed.
Thus, the first product is
\[
1\text{-methylcyclopentanol}
\]
Step 2: Dehydration of alcohol.
On heating with concentrated sulphuric acid,
\[
Conc.\ H_2SO_4/\Delta
\]
the alcohol undergoes dehydration.
Loss of water gives an alkene:
\[
1\text{-methylcyclopentene}
\]
Step 3: Hydrogenation of alkene.
The alkene reacts with hydrogen in the presence of platinum:
\[
H_2/Pt
\]
This hydrogenates the double bond and gives the corresponding alkane:
Methylcyclopentane
Step 4: Final conclusion.
Therefore, the product \(P\) is
\[
\boxed{\text{Methylcyclopentane}}
\]
Hence, the correct option is
\[
\boxed{(1)}
\]