GATE PI year:2019 PYQs & Answers — Page 6 — Exam Papers

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

If

is a complex variable with

, the length of the minor axis of an ellipse defined by

is _____

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The numerical value of the definite integral

using trapezoidal rule with function evaluations at points

, 0.5 and 1 is ______ (round off to 3 decimal places)

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A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa. The maximum shear stress (in MPa) at a point located on the inner surface of the pressure vessel is ______

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A cam is designed to achieve a simple harmonic motion of a flat-faced follower. Starting from the rest, the follower rises to the maximum height of 50 mm at 180° of cam rotation as shown in the figure.

Diagram for Production and Industrial Engineering question 44

If the cam rotates at a uniform angular speed of 100 rpm, the speed of the follower (in mm/s) at the instance when the cam rotates 45° from the initial position is ______

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An open tank of 2 m × 2 m × 2 m is filled with layers of two fluids. Depth of each layer is one meter. The top layer is that of oil of specific gravity 0.8. The bottom layer is of water. Consider the density of water

and acceleration due to gravity

. Neglecting the effect of atmospheric pressure, the force (in N) exerted by the fluids on one of the side walls of the tank is ______

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During a storm, the wind speed is 90 km/hr. In a high-rise building, there is a window of size 1.2 m × 1.8 m facing the storm on an upper floor. Neglecting the ground effects on wind speed and considering the density of air

, the force (in N) acting on the window due to the storm is ______

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The heat transfer efficiency in arc welding of a plate using a current of 250 A at 20 V is 90%. The heat required to melt the material is 10 J/mm³. If the cross-sectional area of the weld joint is 30 mm² and the travel speed is 5 mm/s, the melting efficiency (in %) is ______ (round off to 2 decimal places)

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A sand casting process has a mold constant of 2 s/mm² and solidification exponent of 2. If the solidification time is to be doubled for a given unit volume of material, the corresponding reduction in the cast surface area (in %) is ______

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During a turning operation of a specific work material having shear strength of 220 MPa under orthogonal cutting condition, the process parameters are:

Parameter	Value
Feed	0.2 mm/rev
Depth of cut	1 mm
Rake angle	−5°

Given chip thickness ratio as 0.5, friction angle as 49.2° and shear angle as 25.4°, the feed force (in N) is ______

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A CO₂ laser in continuous mode is used for drilling a plate. The process parameters and their values are:

Parameter	Value
Laser power intensity	W/mm²
Vaporization energy	J/mm³
Efficiency of the process	15%
Laser spot diameter	200 micrometer

The drilled depth (in mm) after 2 seconds is ______

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