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GATE ME 2019: Topper's Quiz-20 (App update required to attempt this test)

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Question 1

Brinell hardness test is widely used for testing the hardness of engineering material however it make certain identaion which damage the material but still it used widely . Brinell Hardness number for load P, diamond ball diameter D mm and indentation diameter d mm is given as

Question 2

The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length L is

When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the end of the plate (with respect to

) is (correct to two decimal places).

Question 3

Heat is being transferred readily outward from a hollow pipe having inner diameter 0.2 m and outer diameter 0.4m. The hollow pipe is made up of material having thermal conductivity of 10 W/mk and length of the pipe is 1m. Find the thermal resistance(in K/W) of the system if heat is transferred only in the radial direction

Question 4

A motor cycle cylinder consist of ten fins, each 150 mm outside diameter and 75 mm inside diameter. The average fin temperature is 500 °C and surrounding air is at 20 °C temperature. The rate of heat dissipation is _______ W from the cylinder fins by convection, when motor cycle is stationery and convection coefficient h = 6 W/m²K.

Question 5

At a filling station, the filling time has exponential distribution with mean 20 minutes. The service discipline is FIFO. If arrival pattern is Poisson with an average rate of 15 for 8 hours day, then the service person’s expected idle time (in hours) for each day will be

Question 6

The relationship between nominal stress

, notch sensitivity factor q, actual stress

and theoretical stress

is given by

Question 7

In a extrusion process a brass billet having diameter 350 mm is extruded, where diameter of extrusion is 200 mm. The extrusion force required (MN) is?(Extrusion constant = 300 MPa)

Question 8

The loading diagram for a beam ABCDE, supported at A. Where R_A=81 kN and one more points is shown in figure(length between A to C =5 m). The maximum bending moment is ____________.

Question 9

A disc of mass 2kg is rolling in a plane having sufficient friction such that the motion is without slip. If the disc rotate with an angular velocity of 10 rad/s and disc have radius of 500mm. Find the velocity of the centre of mass of the disc in m/s

Question 10

Determine the efficiency of an actual heat engine operating between a certain range of temperature. A collector plate of 20m², collects 1550 kW/m² hr of energy, this heat is transferred to the heat engine. If the power produced by the collector is 1.2 kW.

Question 11

A 10 kN force is applied to body B whose mass is 15 kg. Body A has a mass of 20 kg? The centre of gravity of body A is at its geometric centre. There is no friction between block B and lower surface. The velocity of the body is ________ m/sec.
[Take μ_d = 0.28]

Question 12

5 kg of water at 273 K is brought in to contact with a heat reservoir at 373 K.When water has reached 373 K, the entropy change the universe would be _____________ kJ/k.

Question 13

A single-point cutting tool with 12 ° rake angle is used to machine a steel work-piece. The depth of cut, i.e. uncut thickness is 0.81 mm. The chip thickness under orthogonal machining condition is 1.8 mm. The shear angle is approximately

Question 14

A fuel represented by the formula C₆H₁₆ is used in an I.C. Engine. Given that the molecular weight of air is 29 and that 4.76 kmols of air contain 1 kmol of oxygen and 3.76 kmols of nitrogen, the Air/Fuel ratio by mass is

Question 15

For a gear pair arrangement having stub teeth profile and pressure angle of 20 ° interference can be avoided if the gear having atleast a minimum number of teeth arrangement. Find the minimum number of teeth for such a gear pair to avoid interference.

Question 16

A cantilever beam is made up of two different materials as shown. Material AB has flexural rigidity EI while theoretical flexural rigidity of section BC is infinite. The deflection at the end is

Question 17

A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200 ° C, the magnitude of axial stress developed in the rod is MPa.
Young’s modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10^-5 per °C.

Question 18

Solve the following linear programming problem by simplex method.
Maximize $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image278.png$
Subject to $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image279.png$
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image280.png$

What is the solution to the above problem?

Question 19

A single block brake with a 300 mm diameter brake down in figure is used to absorb a torque of 75 Nm. The coefficient of friction between the drum and the lining is 0.35 The pressure on the blocks is uniform. Calculate the force P

Question 20

In a solar assisted air conditioning system, 0.5 kg/s of ambient air at 270 K is to be preheated by the same amount of air leaving the system at 295 K. If a counter flow heat exchanger has an area of 30 m2, and the overall heat transfer coefficient is estimated to be 25 W/m2-K, then what is the effectiveness of the heat exchanger?
[Take

for air as

]

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