GATE AE year:2023 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

For a stage of a 50% reaction ideal axial flow compressor (symmetrical blading), select the correct statement from the options given.

Your answerChoose one option.

The stagnation enthalpy rise across the rotor is 50% of the rise across the stage.

The static enthalpy rise across the rotor is 50% of the rise across the stage.

Axial velocity component of the flow at the rotor exit is 50% of that at the rotor entry.

The static pressure rise across the rotor is 50% of the rise across the stator.

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An aircraft is cruising with a forward speed

and the jet exhaust speed relative to the engine at the exit is

. If

, what is the propulsive efficiency?

Your answerChoose one option.

0.50

1.00

0.33

0.67

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Consider the four basic symmetrical flight loading conditions corresponding to the corners of a typical V-n diagram. For one of these flight loading conditions, it is observed that (i) the compressive bending stresses have a maximum value in the bottom aft region (see figure) of the wing cross-section; and (ii) the tensile bending stresses are maximum in the upper forward region (see figure) of the wing cross-section. For the preceding observations, select the corresponding flight loading condition from the options given.

Diagram for Aerospace Engineering question 23

Your answerChoose one option.

Positive high angle of attack

Positive low angle of attack

Negative high angle of attack

Negative low angle of attack

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Which one of the following figures represents the qualitative variation of absolute deceleration

with altitude

(measured from the mean sea level) for a space vehicle undergoing a ballistic entry into the Earth’s atmosphere?

Your answerChoose one option.

Diagram for Aerospace Engineering question 24

Diagram for Aerospace Engineering question 24 (figure 2)

Diagram for Aerospace Engineering question 24 (figure 3)

Diagram for Aerospace Engineering question 24 (figure 4)

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Which of the following statement(s) is/are true about harmonically excited forced vibration of a single degree-of-freedom linear spring-mass-damper system?

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

The total response of the mass is a combination of free vibration transient and steady-state response.

The free vibration transient dies out with time for each of the three possible conditions of damping (under-damped, critically damped, and over-damped).

The steady-state periodic response is dependent on the initial conditions at the time of application of external forcing.

The rate of decay of free vibration transient response depends on the mass, spring stiffness and damping constant.

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Which of the following statement(s) is/are true about the state of stress in a plane?

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

Maximum or major principal stress is algebraically the largest direct stress at a point.

The magnitude of minor principal stress cannot be greater than the magnitude of major principal stress.

The planes of maximum shear stress are inclined at 90 degrees to the principal axes.

The normal stresses along the planes of maximum shear stress are equal.

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Which of the following statement(s) is/are true about the ribs of an airplane wing with semi-monocoque construction?

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

For a rectangular planform wing, the dimensions of the ribs DO NOT depend on their spanwise position in the wing.

Ribs increase the column buckling stress of longitudinal stiffeners connected to them.

Ribs increase plate buckling stress of the skin panels.

Ribs help in maintaining aerodynamic shape of the wing.

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From the options given, select all that are true for turbofan engines with afterburners.

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

Turning afterburner ON increases specific fuel consumption.

Turbofan engines with afterburners have variable area nozzles.

Turning afterburner ON decreases specific fuel consumption.

Turning afterburner ON increases stagnation pressure across the engine.

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Which of the following statement(s) is/are true with respect to eigenvalues and eigenvectors of a matrix?

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

The sum of the eigenvalues of a matrix equals the sum of the elements of the principal diagonal.

is an eigenvalue of a matrix

, then

is always an eigenvalue of its transpose (

is an eigenvalue of an orthogonal matrix

, then

is also an eigenvalue of

If a matrix has

distinct eigenvalues, it also has

independent eigenvectors.

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For studying wing vibrations, a wing of mass

and finite dimensions has been idealized by assuming it to be supported using a linear spring of equivalent stiffness

and a torsional spring of equivalent stiffness

as shown in the figure. The centre of gravity (CG) of the wing idealized as an airfoil is marked in the figure. The number of degree(s) of freedom for this idealized wing vibration model is ________. (Answer in integer)

Diagram for Aerospace Engineering question 30

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GATE AE year:2023 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30