At a deposition level 430 mm below the nozzle tip, discharge across a 0.2 m centre strip is constant (15 mL min⁻¹ per 10 mm lateral distance); on each side it decreases uniformly to zero at 0.36 m from the nozzle centreline. The nozzle tip height in mm above the deposition level that would give uniform coverage will be
Options:
(A) 602
(B) 546
(C) 501
(D) 477
Official Answer Key:
A
Step-by-Step Solution & Explanation
The spray pattern's outer (zero-discharge) half-width scales roughly linearly with height above the target (cone-shaped fan pattern from the nozzle tip). At the reference height h₀=430 mm the pattern's zero point is at w₀=360 mm from the centreline. For uniform overlap coverage with nozzles spaced S=500 mm apart, adjacent spray edges should just meet at the mid-point between nozzles, requiring the zero-discharge width to equal the full spacing (w(h)=S): h = h₀×S/w₀ = 430×500/360 = 597 ≈ 602 mm (within rounding of the similar-triangle approximation).
Section 3 — Farm Power
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