GATE AE format:msq PYQs & Answers — Page 5

Questions 41–50 of 58. Imported answers require independent review unless marked reviewed.

For International Standard Atmosphere (ISA) up to 11 km, which of the following statement(s) is/are true?

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The hydrostatic/ aerostatic equation is used

The temperature lapse rate is taken as

The sea level conditions are taken as: pressure,

; temperature,

; density,

Air is treated as a perfect gas

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Let

and

represent the normal stress and shear stress on a plane, respectively. The Mohr circle(s) that may possibly represent the state of stress at points in a beam of rectangular cross-section under pure bending is/are:

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Diagram for Aerospace Engineering question 28

Diagram for Aerospace Engineering question 28 (figure 2)

Diagram for Aerospace Engineering question 28 (figure 3)

Diagram for Aerospace Engineering question 28 (figure 4)

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An isotropic linear elastic material point under plane strain condition in the x-y plane always obeys:

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out-of-plane normal strain,

out-of-plane normal stress,

out-of-plane shear stress,

out-of-plane shear strain,

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A high-pressure-ratio multistage axial compressor encounters an extreme loading mismatch during starting. Which of the following technique(s) can be used to alleviate this problem?

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Blade cooling

Variable angle stator vanes

Blow-off valves

Multi-spool shaft

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The real function

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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

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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)?

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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?

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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?

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Which of the following statement(s) is/are true across an oblique shock (in adiabatic conditions) over a wedge shown below?

Diagram for Aerospace Engineering question 14

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Total pressure decreases

Mach number based on velocity tangential to the shock decreases

Total temperature remains constant

Mach number based on velocity tangential to the shock remains the same and that based on velocity normal to the shock decreases

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GATE AE format:msq PYQs

Question 27

Question 28

Question 29

Question 30

Question 43

Question 44

Question 45

Question 46

Question 47

Question 14