Step 1: Understanding the Concept:
Chemical constants and analytical detection of ghee adulteration: RM and Polenske values are primary authenticity indicators, and Baudouin test (not Halphen test) detects vanaspati; hence statements B and E are false.
Key Formula or Approach:
\[ \text{Adulteration Tests: Vanaspati } \rightarrow \mathbf{Baudouin \text{ } Test} \quad | \quad \text{Cottonseed Oil } \rightarrow \mathbf{Halphen \text{ } Test} \]
Step 2: Detailed Explanation:
Evaluating the statements regarding ghee analytical quality and adulteration detection:
1. A. True: Iodine Value ($26 - 38$) measures unsaturation and helps detect foreign vegetable oils or animal body fats.
2. B. FALSE: Reichert-Meissl (RM) Value ($> 28$) and Polenske Value (PV) ($1.0 - 2.0$) measure volatile water-soluble and insoluble short-chain fatty acids (butyric/caproic/caprylic); they are the primary official legal indicators of ghee authenticity and purity.
3. C. True: Certain sophisticated adulterant mixtures (e.g., animal tallow mixed with vegetable oils) can mimic individual chemical constants, necessitating advanced chromatography.
4. D. True: GLC (Gas-Liquid Chromatography) fatty acid and triglyceride profiling reliably detects foreign fats and vegetable oils.
5. E. FALSE: Addition of Vanaspati (hydrogenated vegetable oil) containing sesame oil is detected by the Baudouin Test (furfural + HCl pink color), NOT by the Halphen test (which detects Cottonseed oil).
- Therefore, statements B and E are false.
Step 3: Final Answer:
Thus, B & E statements are false, matching option (D).