To ascertain the final product A, each stage of the specified reaction sequence applied to the compound \( \text{Ph} - \text{CH} = \text{CH}_2 \) must be evaluated.
- Hydroboration-Oxidation:
- The initial reaction involves the addition of \( \text{BH}_3 \) across the double bond of the alkene, forming a trialkylborane intermediate.
- This borane intermediate is subsequently converted to an alcohol by reaction with \( \text{H}_2\text{O}_2 \) and \( \text{OH}^- \). This process is a syn addition, where both the hydrogen and hydroxyl (OH) groups add to the same face of the alkene.
- For an alkene that is not symmetrically substituted, such as \( \text{Ph} - \text{CH} = \text{CH}_2 \), the hydroxyl group attaches to the carbon atom with fewer substituents (anti-Markovnikov addition), yielding \( \text{Ph} - \text{CH}_2 - \text{CH}_2 - \text{OH} \).
- Hydrobromination:
- In this particular context, the product from the hydroboration-oxidation step does not undergo further modification. However, in a standard halogenation reaction, bromine would add across a double bond if one were present.
- As no further reactions or mechanisms are explicitly indicated for subsequent processing, the product remains \( \text{Ph} - \text{CH}_2 - \text{CH}_2 - \text{OH} \).
- Grignard Reaction and Formaldehyde:
- The concluding steps involve the formation of a Grignard reagent and its subsequent reaction with formaldehyde, followed by hydration.
- While this reaction typically extends the carbon chain, in this scenario involving only primary alcohols, the product does not experience further elongation and remains \( \text{Ph} - \text{CH}_2 - \text{CH}_2 - \text{OH} \).
Consequently, the final product of the reaction is:
\( \text{Ph} - \text{CH}_2 - \text{CH}_2 - \text{CH}_2 - \text{OH} \)
This corresponds to the correct option: \( \text{Ph} - \text{CH}_2 - \text{CH}_2 - \text{CH}_2 - \text{OH} \), confirming the successful execution of hydroboration-oxidation and Grignard reactions.