Mechanical Engineering GATE 2023 Questions with Answer

Ques 27 GA

An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Ques 28 Heat and Mass Transfer

Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation?

Ques 29 Heat and Mass Transfer

Consider a counter-flow heat exchanger with the inlet temperatures of two fluids (1 and 2) being T_1,in=300 K and T_2,in=350 K. The heat capacity rates of the two fluids are C₁=1000 W/K and C₂=400 W/K and the effectiveness of the heat exchanger is 0.5. The actual heat transfer rate is _______ kW.
(Answer in integer)

Ques 30 Heat and Mass Transfer

A cylindrical rod of length h and diameter d is placed inside a cubic enclosure of side length L. S denotes the inner surface of the cube. The view-factor Fs-s is

Ques 31 Heat and Mass Transfer

A very large metal plate of thickness d and thermal conductivity k is cooled by a stream of air at temperature T_∞=300 K with a heat transfer coefficient h, as shown in the figure. The centerline temperature of the plate is T_P. In which of the following case(s) can the lumped parameter model be used to study the heat transfer in the metal plate?

Ques 32 Industrial Engineering and Operations Research

With reference to the Economic Order Quantity (EOQ) model, which one of the options given is correct?

Ques 33 Industrial Engineering and Operations Research

Which one of the options given represents the feasible region of the linear programming model: Maximize

Ques 34 Manufacturing Engineering

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)

Ques 35 Manufacturing Engineering

A coordinate measuring machine (CMM) is used to determine the distance between Surface SP and Surface SQ of an approximately cuboidal 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)

Ques 36 Manufacturing Engineering

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 a/10 mm and the nozzle follows a linear serpentine path parallel to the sides of the square layers with a feed rate of a/5mm/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)

Ques 37 Manufacturing Engineering

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)

Ques 38 Manufacturing Engineering

A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining. Locating pins in the form of cylinders with hemi-spherical tips are to be placed on the fixture for positioning. Four different configurations of locating pins are proposed as shown. Which one of the options given is correct?

Ques 39 Manufacturing Engineering

Two surfaces P and Q are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces P and Q for creating the joint?