GATE AG 2016 • Q40 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Functional requirements, principles of working, construction and operation of manual, animal, tractor and renewable energy operated equipment for tillage, sowing, planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting and threshing

Question Statement:

The rated nozzle flow rate and volume median diameter (VMD) of droplets of a hydraulic sprayer are 1.0 L min⁻¹ and 200 µm, respectively at the rated pressure of 500 kPa. If the desired nozzle flow rate is 1.5 L min⁻¹, the droplet diameter in µm will be ______

Official Answer Key:

152 to 153

Step-by-Step Solution & Explanation

For a hydraulic (pressure) nozzle, flow rate varies with the square root of pressure: Q ∝ √P, so P₂ = P₁×(Q₂/Q₁)² = 500×(1.5)² = 1125 kPa. Droplet VMD for hydraulic nozzles varies with pressure as VMD ∞ ΔP^(−1/3). Hence d₂ = d₁×(P₁/P₂)^(1/3) = 200×(500/1125)^(1/3) = 200×0.7631 = 152.6 µm, within the accepted band 152–153.

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