Matching Analysis of Storage Bin Theories and Milling Technologies:

• Deep bin matches with (II) Janssen: Janssen's formula (1895) computes lateral and vertical wall pressures in deep silos by incorporating wall friction and hydraulic radius.
• Shallow bin matches with (III) Rankine: In shallow bins where the rupture plane intersects the free grain surface, Rankine's or Airy's earth pressure equations apply.
• Break roll matches with (IV) Wheat milling: In wheat roller flour milling, pairs of differential fluted/corrugated chilled iron rollers (break rolls) shear open the wheat grain kernel to separate bran from endosperm.
• CFTRI method matches with (I) Pulse milling: Central Food Technological Research Institute (Mysuru) developed the conditioning-based commercial dal milling technique for pigeon pea and other pulses.

Distinctive Characteristics of a Loose Housing Barn:

• Statement (A) is True: Cows are brought to a separate, specially sanitized milking parlour for milking to ensure milk hygiene and mastitis control.
• Statement (B) is True: Cattle are untied and have 24-hour freedom to move between open paddocks and shaded resting loafing sheds.
• Statement (C) is False: Housed and milked in the same building defines a conventional stanchion/tie-stall barn, not a loose housing system.
• Statement (D) is True: Because feeding mangers and loafing areas are open, expanding or modifying herd size involves minimal capital investment.

Assertion (A) is true: loose housing systems result in excellent sanitary quality of milk because cows are brought into a dedicated, clean, easily sanitized separate milking parlour for milking rather than being milked in bedding areas. Reason (R) is false: cows are NOT milked in the loose loafing/resting barn; they are moved to a separate specialized milking parlour, which prevents milk contamination from manure and bedding. Option analysis: (A) (R) is false. (B) (R) is false. (C) (A) is true but (R) is false is the correct answer. (D) (A) is true.

Correct matching pairs: (A) Fouling occurs on heat transfer surfaces in heat exchangers (II) due to thermal deposition of milk proteins, minerals, or scale. (B) Raoult's law governs vapor pressure lowering in ideal solutions (III). (C) Plank's equation predicts freezing time (IV) of foods. (D) Airy's theory describes grain pressure distribution in deep storage bins and silos (I). Option analysis: (A) (A)-(II), (B)-(III), (C)-(IV), (D)-(I) is the exact match. (B) Swaps storage and freezing. (C) Swaps fouling and ideal solution. (D) Incorrect matches.