Step 1: Understanding the Concept:
Rancidity refers to the development of off-flavors and off-odors in fats and oils, which can occur through different chemical pathways.
Detailed Explanation:
Ghee (clarified butter) consists of over $99\%$ milk fat.
It can undergo spoilage through two primary pathways:
1. Oxidative Rancidity (A): Occurs when unsaturated fatty acids in the ghee react with atmospheric oxygen.
This auto-oxidation is accelerated by light, heat, and trace metals, producing peroxides, aldehydes, and ketones that cause stale, paint-like off-odors.
2. Hydrolytic Rancidity (B): Occurs when trace amounts of moisture present in the ghee react with triglycerides.
This reaction, which can be accelerated by heat or microbial lipases, hydrolyzes the ester bonds, releasing free fatty acids.
The release of short-chain volatile fatty acids, such as butyric acid, causes a pungent, sweaty off-odor.
Therefore, ghee can develop rancidity through both oxidative and hydrolytic pathways.
Step 2: Final Answer:
Ghee may become rancid due to both oxidative and hydrolytic rancidity, corresponding to option (3).