Step 1: Understanding the Concept:
\(\beta\)-lactamase is an enzyme produced by certain resistant bacteria that cleaves the \(\beta\)-lactam ring of susceptible antibiotics, rendering them inactive.
Step 2: Detailed Explanation:
1. Antibiotics containing a four-membered \(\beta\)-lactam ring in their molecular structure are called \(\beta\)-lactam antibiotics. This class includes penicillins, cephalosporins, carbapenems, and monobactams.
2. Penicillin (A), Ampicillin (B), and Amoxicillin (C): Are all members of the penicillin family and contain the \(\beta\)-lactam ring, making them susceptible to cleavage by \(\beta\)-lactamase enzymes.
3. Erythromycin (D): Is a macrolide antibiotic with a large macrocyclic lactone ring. It does not contain a \(\beta\)-lactam ring and is not affected by \(\beta\)-lactamase enzymes.
4. Therefore, only (A), (B), and (C) are sensitive to \(\beta\)-lactamase.
Step 3: Final Answer:
The \(\beta\)-lactamase-sensitive antibiotics are (A), (B), and (C) only.