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:
A field sprayer with 12 nozzles fitted to the boom at a spacing of 0.5 m is used for spraying at a height of 0.75 m from the ground. The angle of spraying is 75⁰. If the height of spraying is reduced to 0.6 m, the change in swath in m is
Options:
(A) 0.23
(B) 0.48
(C) 0.65
(D) 0.91
Official Answer Key:
A
Step-by-Step Solution & Explanation
For a nozzle with a full spray-cone angle θ at height h above the target, the swath width per nozzle = 2h·tan(θ/2). Since the total boom swath changes by the same amount as an individual nozzle's spray-width change (all nozzles change proportionally, spacing fixed):
At h₁=0.75 m: w₁ = 2(0.75)tan(37.5°) = 1.5×0.7673 = 1.1510 m
At h₂=0.60 m: w₂ = 2(0.60)tan(37.5°) = 1.2×0.7673 = 0.9208 m
Change in swath = w₁−w₂ = 1.1510−0.9208 = 0.230 m. Answer: (A) 0.23.
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