Step 1: Concept
Antibiotics are highly targeted molecules designed to selectively inhibit specific bacterial pathways, such as transcription, translation, or replication, without disrupting host cell components.
Step 2: Meaning
Disrupting membranes describes a broad, non-specific mechanism of action, whereas rifampicin relies on highly targeted enzyme inhibition.
Step 3: Analysis
* Assertion (A) is correct: Rifampicin is a core first-line antibiotic used in combination therapies to treat infections caused by Mycobacterium tuberculosis.
* Reason (R) is incorrect: Rifampicin does not destroy cell walls or membranes. Instead, it works by binding to and inhibiting the bacterial $\beta$-subunit of DNA-dependent RNA polymerase, blocking the synthesis of bacterial mRNA. Furthermore, bacteria lack nuclear membranes and mitochondria entirely.
Step 4: Conclusion
Since the assertion is clinically correct but the reason contains false biological and mechanistic statements, option C is correct.
Final Answer: (C)