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GATE CE 2021: Fluid Mechanics Quiz 2

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Question 1

A ship has a metacentric height of 0.90 m and its period of rolling is 20 seconds. The relevant radius of gyration is nearly

Question 2

A pressure gauge reads 57.4 kPa and 80 kPa, respectively at heights of 8 m and 5 m fitted on the side of a tank filled with liquid. What is the approximate density of the liquid in kg/m3?

Question 3

A rectangular pontoon has a width of 6 m, a length of 12 m and a draught of 1.5 m in fresh water (density = 1000 kg/m3). It's draught in sea water having density of 1025 kg/m3 is

Question 4

A cylinder made of wood has a length a and diameter . The cylinder is floating in water with its axis vertical. If the specific gravity of wood is 0.6, the metacentric height is

Question 5

Two pipelines, one carrying oil (mass density = 900 kg/m3) and the other water, are connected to a manometer as shown below. By what amount the pressure in the water pipe should be increased so that the mercury (mass density = 13550 kg/m3) levels in both the limbs of the manometer becomes equal?

Question 6

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

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Jul 31ESE & GATE CE