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GATE CE 2026 Set 2 — Question 54

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NAT+2 / -0MediumCentrifugal PumpsHydraulic Machines & PumpsWater Resources EngineeringDarcy-Weisbach EquationPipe Flow

Water Resources Engineering → Hydraulic Machines & Pumps → Centrifugal Pumps

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Question

A centrifugal pump is delivering water from an underground tank to an overhead reservoir against a static head of 35 m35\text{ m} through a 2 km2\text{ km} long, 250 mm250\text{ mm} diameter pipe. The head-discharge characteristic of the pump is given byH=140−9000Q2H = 140 - 9000Q^2where HH is the head (in m) generated by the pump and QQ is the discharge (in m3/s\text{m}^3/\text{s}) of the pump.
Neglecting all minor losses, the head (in m) generated by the pump is ______ (rounded off to the nearest integer).
Use: Darcy-Weisbach friction factor f=0.04f = 0.04
Acceleration due to gravity =9.81 m/s2= 9.81\text{ m}/\text{s}^2
π=3.14\pi = 3.14
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