GATE AE year:2023 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

A scramjet engine features an intake, isolator, combustor, and a nozzle, as shown in the schematic. Station 3 indicates the combustor entry point. Assume stagnation enthalpy to be constant between Stations 1 and 3, and air to be a calorically perfect gas with specific heat ratio

. Select the correct expression for Mach number

at the inlet to the combustor from the options given.

Diagram for Aerospace Engineering question 41

Your answerChoose one option.

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Consider the equation

, where

and

are constants. Given

, select all correct statement(s) from the following as

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

;

is a constant

;

and

are constants

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Given the vectors

which of the following statement(s) is/are TRUE?

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

Vectors

and

are coplanar

The scalar triple product of the vectors

and

is zero

and

are perpendicular

is parallel to

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Consider a one-dimensional inviscid supersonic flow in a diverging duct with heat addition (

) as shown. Which of the following statement(s) is/are always TRUE?

Diagram for Aerospace Engineering question 44

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

Mach number,

Stagnation pressure,

Static pressure,

Stagnation temperature,

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Consider the International Standard Atmosphere (ISA) with

being the geopotential altitude (in km) and

being the temperature gradient (in K/m). Which of the following combination(s) of

is/are as per ISA?

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

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For an airfoil, which of the relations given about the critical Mach number

and drag divergence Mach number

is/are correct?

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

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Which of the following statement(s) about the elastic flexural buckling load of columns is/are correct?

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

The buckling load increases with increase in flexural rigidity of the column.

The buckling load increases with increase in the length of the column.

The boundary conditions of the column affect the buckling load.

The buckling load is NOT directly dependent on the density of the material used for the column.

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The thickness of a uniform hollow circular shaft is equal to the difference between the outer radius and the inner radius. The ratio of the inner diameter to outer diameter of the shaft is 0.5. For the shaft reacting to an applied torque, the ratio of the maximum shear stress

to the maximum shear stress

obtained using the thin-wall approximation is ______. (round off to one decimal place)

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A rigid bar AB is subjected to a uniformly distributed load of 100 N/m as shown in the figure. The bar is supported by rod CD, with A, C, and D as pin joints. The rod CD has axial stiffness of 40 N/mm. The vertical deflection at point D is __________ mm. (round off to nearest integer)

Diagram for Aerospace Engineering question 49

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A cantilever beam of length

is loaded at the tip with force

as shown in the figure. The beam is supported in the middle by a roller with a pin. The magnitude of moment reaction at the built-in end of the beam is

, where

is _____. (round off to one decimal place)

Diagram for Aerospace Engineering question 50

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GATE AE year:2023 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50