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GATE CE 2020: Fluid Mechanics Quiz 2

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Question 1

90% iceberg volume is below surface and only 10% is visible above surface of sea water. pseawater = 1025 kg/m3. The density of iceberg (in kg/m3) is

Question 2

In a floating body I = Moment of inertia of water line area about the longitudinal axis,
= Volume of displaced fluid, B = Centre of pressure, G = Centre of gravity and M = Metacentre. For stable equilibrium of this body

Question 3

A closed tank containing water is partly filled with water and the air space above it is under pressure. A 5 cm diameter bore connected to the tank discharges water to atmosphere on to the roof of building 3.0 m above the level of water in the tank. If friction losses are 1.5 m of water, then the air pressure that must be maintained in the tank to deliver 15 l/s to the roof is _________ kPa (gauge).
[Take density of water = 9.79 kN/m3]

Question 4

A venturimeter laid at 45 ° to the horizontal is connected to a differential mercury manometer and the deflection shown is 'a' cm. If the venturimeter is made horizontal, tha deflection in the manometer will be

Question 5

The left leg of a U-tube mercury manometer is connected to a pipeline coveying water, the level of mercury in the leg being 0.6 m below the centre of pipe line, and the right leg is NOT open to atmosphere. The level of mercury in the right leg is 0.45 m above that in the left leg and the space above mercury in the right leg contains benzene (Specific gravity 0.88) to a height of 0.3 m. The pressure at A (in kgf/cm2) is

Question 6

A vertical venturimeter is used to measure the discharge of a liquid of specific gravity 0.9. The flow is downwards and the pressure at the 30 cm inlet is found to be 150 kPa. The pressure at the throat, which has a diameter of 10.0 cm and is 10 cm below the inlet is measured as 90 kPa. If the head loss at the inlet is 2% of the difference in the piezometric head at the inlet and the throat, the discharge passing through the venturimeter is ________ litres/s.
[Take density of water = 9.79 kN/m3 and Cd =0.99]
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