GATE AG 2008 • Q37 MCQ • 2 Marks

Section 5: Irrigation and Drainage Engineering

Wells and Pumps

Subtopic: Pump characteristics

Question Statement:

A double acting single cylinder reciprocating pump has a cylinder diameter of 150 mm and stroke 300 mm. Suction and delivery heads for the pump are 3 and 30 m respectively. If the pump delivers 0.01033 m³ s⁻¹ of water at 60 rpm, the percentage slip is

Options:

  • (A) 97.43
  • (B) 1.57
  • (C) 2.57
  • (D) 0.0257

Official Answer Key:

C

Step-by-Step Solution & Explanation

Theoretical discharge (double acting ⇒ 2 deliveries/rev) Qth = 2ALN/60 = 2×(π/4×0.15²)×0.3×60/60 = 2×0.01767×0.3 = 0.01060 m³/s. % slip = (Qth−Qactual)/Qth ×100 = (0.01060−0.01033)/0.01060×100 = 2.57%.

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