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GATE ME 2020 Fluid Mechanics and Machinery Rapid Mini Mock (App update required to attempt this test)

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Question 1

A tank consists of liquids A, B and C of specific gravity 0.879, 0.998 and 13.55 respectively. Initially the tank is closed and the configuration is as shown. If an opening is made at the top of the tank, then equilibrium level of mercury in the manometer will be _______m.
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Question 2

A channel of width 450 mm branches into two sub-channels having width 300 mm and 200 mm as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is 0.9 m3/s and the velocity in the sub-channel of width 200 mm is 3 m/s, the velocity in the sub-channel of width 300 mm is ____ m/s.
Assume both inlet and outlet to be at the same elevation.

Question 3

Find the magnitude of total acting forces on the curved surface of the dam(in kN) which is shaped according to the relation , as shown in the figure, the height of the water retained by the dam is 10m and the width of the dam is 1m.

Question 4

If radius of gyration of floating ship under rolling is 10 m and the metacentric height is 1 metre. The rolling time period in seconds approximately is (g=10 m/s2).

Question 5

An unsteady velocity field is given by

The acceleration at point (5,3) at time t = 2 units is

Question 6

The drag of a sonar transducer is to be predicted, based on wind tunnel test data. The prototype, a 0.3 m diameter sphere is to be towed at 2.57 m/s in sea-water at 4.50C. the model is 152 mm in diameter. For sea-water at 4.50C,
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\07_Fluid-Mechanics_BLok_files\image045.png.
For air at STP,
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\07_Fluid-Mechanics_BLok_files\image046.png
The required test speed in air will be

Question 7

A water mains 140 cm inner diameter contains water at a pressure head of 200 m. A smooth flat plate 2 m wide and 2 m long is subjected to flow of water along its length at a uniform velocity of 2 m/s. The maximum thickness of  boundary layer for the flow to be remain laminar will be ____ mm.

Question 8

A Pelton wheel is working under a head of 45 m and discharge is 0.8 m3/s. The mean bucket speed is 14 m/s. The jet is deflected by blades through an angle of 165 °. Take coefficient of velocity, Cv = 0.985 and mechanical efficiency as 0.95. The power produced ( in kW )will be _____.

Question 9

Oil of viscosity 0.15 Pa.s and specific gravity 0.90, flows through a horizontal pipe of 30 mm diameter .If the pressure drop per meter length of the pipe is 15 kPa, determine the power required per m length of pipe to maintain the flow.

Question 10

A jet of water of 20 mm in diameter impinges on a fixed smooth curve vane at its centre on the concave side and deflected by 160. The reaction of vane was 20 N when the discharge from jet was 2 litre/s. The ratio of theoretical to actual force of jet is

Question 11

The eye of the tornado has a radius of 70m. if the maximum wind velocity is 20m/sec, the velocity at a distance of 200 m radius is______.

Question 12

An orifice meter consisting of 0.1 m diameter orifice in a 0.25 m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of orifice plate is measured by Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic metres per second is ___________.
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Jul 15ESE & GATE ME