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GATE ME 2019: Revision Test 1 (App update required to attempt this test)

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Question 1

Maximum efficiency of a Parson's turbine reaction turbine is 91%. Nozzle angle of the turbine will be ______ (in degree).

Question 2

A large iceberg floating in sea water is of cubical shape and its specific gravity is 0.9. If 20cm proportion of the iceberg is above the sea surface, determine the volume (m³) of the iceberg if specific gravity of sea water is 1.025

Question 3

A large iceberg floating in sea water is of cubical shape and its average specific gravity is 0.8.If a 30cm high proportion of the iceberg is above the surface of the water determine the volume of the iceberg if the specific gravity of the seawater is 2

Question 4

Consider a shaft given below rotating with torque T. The self-weight of the shaft is W while the weight of the gear and the bearing attached is W₁ and W₂ respectively. The stress developed in shaft is:

Question 5

A prismatic brass rod of cross-sectional area 100mm² is held between two rigid supports at ends. The temperature of rod is uniformly raised from 30 °C to 60 °C. the magnitude of thrust acting at supports will be ___kN.
Brass Properties: Coefficient of thermal expansion (α) =20×10^-6/°C; Young's Modulus E= 125GPa.

Question 6

For the simply supported beam shown in the figure, the location of maximum bending moment from left hand side will be

Question 7

A uniform beam of length L is simply and symmetrically supported over two roller supports spaced l distance with each other. The ratio of L/l so that the upward deflection at each end equals the downward deflection at the mid-point due to a central point load is ______.

Question 8

The rigid bar AB, attached to two vertical rods as shown in figure, is horizontal before the load P is applied. The vertical movement(mm) of P is _____. Given P = 50 kN.

Question 9

A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image078.png$ . The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is _______

Question 10

Consider a simply supported beam of length, 50h, with a rectangular cross-section of depth, h, and width, 2h. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is

Question 11

An Oil of specific gravity 0.8 flows through 0.2 m diameter pipe under a pressure of 100 kN/m². If the datum is 5m below the centre line of the pipe and the total energy with respect to the datum is 35m of oil. Calculate the discharge in cubic meters per second.

Question 12

Consider steady flow of an incompressible fluid through two long and straight pipes of diameters d₁ and d₂ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form f =K(Re)^–n , where K and n are known positive constants and Re is the Reynolds number. Neglecting minor losses, the ratio of the frictional pressure drop in pipe 1 to that in pipe 2,

, is given by ___________.

Question 13

For air flow over a flat plate, velocity (U) and boundary layer thickness (δ) can be expressed respectively, as
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image204.png$
If the free stream velocity is 2m/s, and air has kinematic viscosity of 1.5×10^-5 m2/s and density of 1.23 kg/m³, the wall shear stress at x = 1m, is

Question 14

A venturimeter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa then, neglecting frictional losses, the flow velocity is

Question 15

A 60mm diameter water jet having a velocity of 10m/s strikes a flat plate, the normal of which is inclined at 30˚ to the axis of jet. The horizontal and vertical forces exerted on the plate when the plate is stationary are

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