GATE ME year:2023 PYQs & Answers — Page 6

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

Topic practice 65 questionsPage 6 of 7

The atomic radius of a hypothetical face-centered cubic (FCC) metal is

nm. The atomic weight of the metal is 24.092 g/mol. Taking Avogadro’s number to be

atoms/mol, the density of the metal is __________ kg/m

(Answer in integer)

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A steel sample with 1.5 wt.% carbon (no other alloy elements present) is slowly cooled from 1100 °C to just below the eutectoid temperature (723 °C). A part of the iron-cementite phase diagram is shown in the figure. The ratio of the pro-eutectoid cementite content to the total cementite content in the microstructure that develops just below the eutectoid temperature is ________. (Rounded off to two decimal places)

Diagram for Mechanical Engineering question 52

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A part, produced in high volumes, is dimensioned as shown. The machining process making this part is known to be statistically in control based on sampling data. The sampling data shows that D1 follows a normal distribution with a mean of 20 mm and a standard deviation of 0.3 mm, while D2 follows a normal distribution with a mean of 35 mm and a standard deviation of 0.4 mm. An inspection of dimension C is carried out in a sufficiently large number of parts. To be considered under six-sigma process control, the upper limit of dimension C should be __________ mm. (Rounded off to one decimal place)

Diagram for Mechanical Engineering question 53

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A coordinate measuring machine (CMM) is used to determine the distance between Surface SP and Surface SQ of an approximately cubical shaped part. Surface SP is declared as the datum as per the engineering drawing used for manufacturing this part. The CMM is used to measure four points P1, P2, P3, P4 on Surface SP, and four points Q1, Q2, Q3, Q4 on Surface SQ as shown. A regression procedure is used to fit the necessary planes. The distance between the two fitted planes is __________ mm. (Answer in integer)

Diagram for Mechanical Engineering question 54

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A solid part (see figure) of polymer material is to be fabricated by additive manufacturing (AM) in square-shaped layers starting from the bottom of the part working upwards. The nozzle diameter of the AM machine is

mm and the nozzle follows a linear serpentine path parallel to the sides of the square layers with a feed rate of

mm/min.

Ignore any tool path motions other than those involved in adding material, and any other delays between layers or the serpentine scan lines.

The time taken to fabricate this part is __________ minutes.

(Answer in integer)

Diagram for Mechanical Engineering question 55

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An optical flat is used to measure the height difference between a reference slip gauge A and a slip gauge B. Upon viewing via the optical flat using a monochromatic light of wavelength 0.5 μm, 12 fringes were observed over a length of 15 mm of gauge B. If the gauges are placed 45 mm apart, the height difference of the gauges is __________ μm.

(Answer in integer)

Diagram for Mechanical Engineering question 56

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Ignoring the small elastic region, the true stress (

) – true strain (

) variation of a material beyond yielding follows the equation

MPa. The engineering ultimate tensile strength value of this material is __________ MPa.

(Rounded off to one decimal place)

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The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is __________ m

(Answer in integer)

Diagram for Mechanical Engineering question 58

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A cylindrical bar has a length

and cross section area

. The bar is made of a linear elastic material with a density

and Young’s modulus

. The bar is suspended as shown in the figure and is in a state of uniaxial tension due to its self-weight.

The elastic strain energy stored in the bar equals ________ J. (Rounded off to two decimal places)

Take the acceleration due to gravity as

Diagram for Mechanical Engineering question 59

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A cylindrical transmission shaft of length 1.5 m and diameter 100 mm is made of a linear elastic material with a shear modulus of 80 GPa. While operating at 500 rpm, the angle of twist across its length is found to be 0.5 degrees.

The power transmitted by the shaft at this speed is ______kW. (Rounded off to two decimal places)

Take

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GATE ME year:2023 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60