GATE AG 2013 • Q8 MCQ • 2 Marks

Section 2: Farm Machinery

Machine Design

Subtopic: Measurement of force, stress, torque, speed, displacement and acceleration on machine elements – shafts, couplings, keys, bearings and knuckle joints

Question Statement:

The cumulative discharge of a tractor mounted hydraulic sprayer having 7 nozzles is 2.0 L min⁻¹ when the tractor is operated at 4 km h⁻¹. If the nozzle spacing is 0.3 m, the discharge in L ha⁻¹ is

Options:

  • (A) 1000.02
  • (B) 285.72
  • (C) 166.67
  • (D) 142.86

Official Answer Key:

D

Step-by-Step Solution & Explanation

Effective boom width = 7 nozzles × 0.3 m spacing = 2.1 m. Forward speed = 4 km/h = 66.67 m/min. Area covered per minute = width × speed = 2.1 × 66.67 = 140 m²/min. Application rate = discharge/area = 2.0 L / 140 m² = 0.01429 L/m² → × 10,000 m²/ha = 142.86 L/ha. Answer: (D).

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