GATE ME kind:question PYQs & Answers — Page 25

Questions 241–250 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 25 of 104

Cylindrical bars P and Q have identical lengths and radii, but are composed of different linear elastic materials. The Young’s modulus and coefficient of thermal expansion of Q are twice the corresponding values of P. Assume the bars to be perfectly bonded at the interface, and their weights to be negligible.

The bars are held between rigid supports as shown in the figure and the temperature is raised by

. Assume that the stress in each bar is homogeneous and uniaxial. Denote the magnitudes of stress in P and Q by

and

, respectively.

Which of the statement(s) given is/are CORRECT?

Diagram for Mechanical Engineering question 46

Your answerSelect all correct options. You can choose more than one.

The interface between P and Q moves to the left after heating

The interface between P and Q moves to the right after heating

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A very large metal plate of thickness

and thermal conductivity

is cooled by a stream of air at temperature

with a heat transfer coefficient

, as shown in the figure. The centerline temperature of the plate is

Diagram for Mechanical Engineering question 47

In which of the following case(s) can the lumped parameter model be used to study the heat transfer in the metal plate?

Your answerSelect all correct options. You can choose more than one.

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The smallest perimeter that a rectangle with area of 4 square units can have is _____ units.

(Answer in integer)

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Consider the second-order linear ordinary differential equation

with the initial conditions

The value of

equals ________.

(Answer in integer)

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The initial value problem

is solved numerically using the forward Euler’s method with a constant and positive time step of

Let

represent the numerical solution obtained after

steps. The condition

is satisfied if and only if

does not exceed ____________.

(Answer in integer)

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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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GATE ME kind:question PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55