To solve this problem, we need to analyze the given statements:$\newline \bullet$Statement (A): Coenzyme or metal ion that is tightly bound to enzyme protein is called a prosthetic group.$\newline$ - A prosthetic group is a non-polypeptide unit that is tightly and permanently attached to a protein, often an enzyme.$\newline$ - It is essential for the biological activity of the protein.$\newline$ - Therefore, Statement (A) is true.$\newline \bullet$Statement (B): A complete catalytically active enzyme with its bound prosthetic group is called an apoenzyme.$\newline$ - An apoenzyme is the protein part of an enzyme, without its prosthetic group or cofactor.$\newline$ - A complete enzyme with its prosthetic group or cofactor is called a holoenzyme.$\newline$ - Therefore, Statement (B) is false.$\newline$Based on the analysis, the correct option is:$\newline$Option 2: (A) is true but (B) is false.