This is an example of a nucleophilic substitution reaction, where \( \text{NaOH} \) displaces \( \text{Br} \) from \( \text{C}_6\text{H}_5\text{CH}_2\text{Br} \) and the product is \( \text{C}_6\text{H}_5\text{CH}_2\text{OH} \) (benzyl alcohol).
Step 2: Conclusion.
The correct reaction is \( C_6H_5CH_2Br + NaOH \xrightarrow{\text{ether}} C_6H_5CH_2OH \), corresponding to option (c).