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Fluid Mechanics
Bernoulli's Equation
GATE 2009
Hard

A free jet of water emerges from a nozzle (diameter 75mm) attached to a pipe (diameter 225mm). The nozzle tip is 0.5m above point B in the pipe. Point A lies on the jet's trajectory, 21m above the nozzle tip. The velocity of water at point A is 18m/s. Neglecting friction, g=9.81m/s², density of water=1000kg/m³, the velocity of water at the tip of the nozzle (in m/s) is

  • A13.4
  • B18.0
  • C23.2
  • 27.1

Explanation

Along the free jet (atmospheric pressure throughout, only gravity acts): Vnozzle²=VA²+2gΔz=18²+2×9.81×21=324+411.82=735.82. Vnozzle=√735.82≈27.1 m/s.

Source: GATE CH 2009 (2009)

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