GATE ME 2016 Set 1 — Question 49
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Fluid Mechanics → Fluid Properties & Statics → Manometry
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Question
An inverted U-tube manometer is used to measure the pressure difference between two pipes A and B, as shown in the figure. Pipe A is carrying oil (specific gravity = 0.8) and pipe B is carrying water. The densities of air and water are and , respectively. The pressure difference between pipes A and B is __________ kPa.Acceleration due to gravity g = 10 m/s.

Solution
Take kg/m, kg/m, kg/m, m/s.Levels from the figure (measured from the centre of pipe A):
- Oil-air interface (left limb): mm above A.
- Air-water interface (right limb): mm above the oil-air interface, i.e. mm above A.
- Pipe B is mm below A, so the water column from B up to the air-water interface is mm.
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