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GATE ME 2019: Topper's Quiz-18 (App update required to attempt this test)

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Question 1

For a ductile material, toughness is a measure of

Question 2

Water is flowing through a pipe having diameter 300 mm and 200 mm at the bottom and upper end, respectively. The intensity of pressure at the bottom end is 245.25kN/m² and the pressure at upper end is 98.1kN/m².The rate of flow through pipes is 0.4 cubic metres per second .If z represents the datum head, calculate z_upper - z_bottomin metres.

Question 3

Air at a pressure 95kPa and temperature 20℃ is preheated by hot exhaust gases in a cross-flow heat exchanger before let it into the boiler furnace at a rate of 0.8m³/s. The rate of heat transfer is 103 kW. Determine diffenrence in the inlet & outlet temperature of air in K.

Given: Specific heats of air and combustion gases are 1005 J/kg °C and 1100 J/kg °C respectively,

Question 4

A distributor has a weekly order cycle with normally distributed demand with mean 80 units/week and std deviation of 6 units / week during lead time of 3 weeks. it desires a service level which limits stockout only to one order cycle per year. How much stock is on when order is placed? P(z=2.06) = 98 %, P(z=1.29) = 90 %

Question 5

Two mating gear have 20 and 40 involute teeth of module 10 mm and 20 ° pressure angle. The addendum on each wheel is to be made such that the line of contact on each side of the pitch points has half the maximum possible length. The ratio of addendum for pinion to Gear will be

Question 6

The main criteria for selection of electrode diameter in arc welding is

Question 7

A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections AB and BC are 3E and E, respectively.

For the deflection at C to be zero, the ratio P/F is ____________

Question 8

For an ideal gas with constant properties undergoing a quasi-static process, which one of the following represents the change of entropy from state 1 to 2?

Question 9

A refrigerator is being driven by a heat engine and coefficient of performance of refrigerator is 4.The heat taken by the refrigerator is 3500 kJ and the combined engine and refrigerator work output is 300 kJ.The work output (in KJ) of the heat engine is ____.

Question 10

Which of the following gear profile is used to eliminate axial thrust while designing gears having constant velocity ratio.

Question 11

A 300 mm diameter cylinder fitted with a frictionless leak proof piston contains 0.03 kg of steam at a pressure of 0.7 MPa and a temperature of 200

. The piston moves slowly outwards through a distance of 310 mm. The final pressure of steam is 0.12 MPa. The dryness fraction at state 2 is

(Take specific volume and specific enthalpy at state 1 is 0.352 m³/kg and 2850.1 KJ/kg respectively)

Question 12

For a single cylinder reciprocating engine mass of the reciprocating part is 40kg and mass of the revolving part is 30 kg. If the crank rotate at 150 rpm and the stroke length is 400 mm. Only 60 % of the reciprocating masses and all revolving masses need to be balanced. Determine the required mass at a radius of 300 mm.

Question 13

Calculate the maximum compressive stress (MPa) in bar ABC if its cross section is 200 mm square for the structure as shown in given figure.

Question 14

For a turning operation having feed rate of 2 mm/rev and depth of cut of 2 mm. the chip thickness is 4 mm and the turning is pure orthogonal turning operation such that principle cutting angle is 90º. Find the mean length (mm) of the shear zone assuming merchants analysis to be valid.

Question 15

In a PERT network, the project completion time and the most likely time of activity( t_m) respectively follows __________.

Question 16

In assignment problem for variable $Description: Description: 03_Industrial-Engg_BLok_files\image061.png$
1- $Description: Description: 03_Industrial-Engg_BLok_files\image062.png$ ^{or 0}
2- $Description: Description: 03_Industrial-Engg_BLok_files\image063.png$
3- $Description: Description: 03_Industrial-Engg_BLok_files\image064.png$
Which of these statements are correct?

Question 17

A spherical body of diameter 75 mm of initial temperature 25℃ is immersed in the fluid at temperature 400℃. Thermo physical properties of the body are k=22W/m-K, c=400 J/kg and ρ=9000kg/m³ (Regular notations used). Determine the time (in seconds) when the temperature will become 390℃, given the convective heat transfer coefficient between body and fluid is 300W/m²-k.

Question 18

A steel tube having an inner radius of 1 cm and an outer radius 2.5 cm is covered with asbestos of thickness 3cm. the temperature difference between the outer surface of asbestos and the inner surface of the steel is 600

. K_steel= 19 W/mK and K_asbestos= 0.2 W/mK. Calculate the heat transfer rate per unit length of the pipe in W/m

Question 19

The variation of velocity u with radius r for a steady laminar flow through a circular duct is given as , where µ is the dynamic viscosity of fluid and is the pressure drop. The dimensions of the B is

Question 20

A rigid rod (AB. of length L =

m is undergoing translational as well as rotational motion in the x-y plane (see the figure). The point A has the velocity V₁ = i + 2j m/s. The end B is constrained to move only along the x direction.

The magnitude of the velocity V₂ (in m/s) at the end B is____

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