In this reaction, phenol (C\(_6\)H\(_6\)O) reacts with ammonium hydroxide (NH\(_4\)OH). The addition of sulfuric acid (H\(_2\)SO\(_4\)) to the reaction mixture leads to the formation of a product where the hydroxyl group from phenol remains intact. This is because the sulfuric acid does not affect the formation of the phenol ring.
The final product B is phenol (C\(_6\)H\(_7\)OH).
Thus, the correct answer is Option (B).