GATE AE format:msq PYQs & Answers — Page 4

Questions 31–40 of 58. Imported answers require independent review unless marked reviewed.

Topic practice 58 questionsPage 4 of 6

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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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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are three mutually perpendicular unit vectors, then

can take the value(s)

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

-1

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Across an oblique shock wave in a calorically perfect gas,

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

the stagnation enthalpy changes

the stagnation entropy changes

the stagnation temperature changes

the speed of sound changes

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NACA 2412 airfoil has

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

4% maximum camber with respect to chord

maximum camber at 40% chord

12% maximum thickness to chord ratio

maximum camber at 20% chord

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GATE AE format:msq PYQs

Question 29

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 24

Question 25

Question 26