GATE AE purpose:exam-prep PYQs & Answers — Page 31

Questions 301–310 of 650. Imported answers require independent review unless marked reviewed.

A horizontal load

is applied at point R on a two-member truss, as shown in the figure. Both the members are prismatic with cross-sectional area,

, and made of the same material with Young’s modulus

. The horizontal displacement of point R is:

Diagram for Aerospace Engineering question 41

Your answerChoose one option.

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Which of the following is NOT always true for a combustion process taking place in a closed system?

Your answerChoose one option.

Total number of atoms is conserved

Total number of molecules is conserved

Total number of atoms of each element is conserved

Total mass is conserved

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The real function

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

continuous for all

differentiable for all

not continuous at

not differentiable at

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A convergent nozzle fed from a constant pressure, constant temperature reservoir, is discharging air to atmosphere at 1 bar (absolute) with choked flow at the exit (marked as Q). Flow through the nozzle can be assumed to be isentropic. If the exit area of the nozzle is increased while all the reservoir parameters and ambient conditions remain the same, then at steady state

Diagram for Aerospace Engineering question 44

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

the nozzle will remain choked

the nozzle will be un-choked

the Mach number at section P will increase

the Mach number at section P will decrease

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For a conventional airplane in straight, level, constant velocity flight condition, which of the following condition(s) is/are possible on Euler angles (φ, θ, ψ), angle of attack (α) and the sideslip angle (β)?

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

φ = 0°, θ = 2°, ψ = 0°, α = 2°, β = 0°

φ = 5°, θ = 0°, ψ = 0°, α = 2°, β = 0°

φ = 0°, θ = 3°, ψ = 0°, α = 3°, β = 5°

φ = 0°, θ = 5°, ψ = 0°, α = 2°, β = 5°

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Consider a high Earth-orbiting satellite of angular momentum per unit mass h⃗ and eccentricity e.

The mass of the Earth is M and G is the universal gravitational constant.

The distance between the satellite’s center of mass and the Earth’s center of mass is r, the true anomaly is θ, and the phase angle is zero.

Which of the following statements is/are true?

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

The trajectory equation is r = r(θ) = |h⃗|/[GM(1 + e cos θ)]

The trajectory equation is r = r(θ) = |h⃗|²/[GM(1 + e cos θ)]

h⃗ is conserved

The sum of potential energy and kinetic energy of the satellite is conserved

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A rocket operates at an absolute chamber pressure of 20 bar to produce thrust,

The hot exhaust is optimally expanded to 1 bar (absolute pressure) using a convergent-divergent nozzle with exit to throat area ratio

of 3.5 and thrust coefficient,

The same rocket when operated at an absolute chamber pressure of 50 bar produces thrust

and the thrust coefficient is

Which of the following statement(s) is/are correct?

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

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is a vector field where

are the base vectors of a cartesian coordinate system.

Using the Gauss divergence theorem, the value of the outward flux of the vector field over the surface of a sphere of unit radius centered at the origin is ______ (rounded off to one decimal place).

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The largest eigenvalue of the given matrix is ____.

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A rotational velocity field in an air flow is given as

, with

The air density is 1.0 kg/m

and the pressure at

is 100 kPa.

Neglecting gravity, the pressure at

is ____ kPa (rounded off to nearest integer).

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GATE AE purpose:exam-prep PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50