GATE AE year:2023 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

The system of equations

has a non-trivial solution for

_____. (Answer in integer)

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An airplane weighing 40 kN is landing on a horizontal runway during which it is retarded by an arresting cable mechanism. The tension in the arresting cable at a given instant, as shown in the figure, is 100 kN. Assuming that the thrust from the engine continues to balance airplane drag, the magnitude of horizontal load factor is _______. (round off to one decimal place)

Diagram for Aerospace Engineering question 32

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The ratio of the speed of sound in H

(molecular weight 2 kg/kmol) to that in N

(molecular weight 28 kg/kmol) at temperature 300 K and pressure 2 bar is ____. (round off to two decimal places)

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Airplane A and Airplane B are cruising at altitudes of 2 km and 4 km, respectively. The free stream density and static pressure at altitude 2 km are 1.01 kg/m

and 79.50 kPa, respectively, and at altitude 4 km, they are 0.82 kg/m

and 61.70 kPa, respectively. The differential pressure reading from the pitot-static tubes is 3 kPa for both the airplanes. Assuming incompressible flow, the ratio of cruise speeds of Airplane A to Airplane B is _____. (round off to two decimal places)

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A supersonic vehicle powered by a ramjet engine is cruising at a speed of 100 m/s. The ramjet engine burns hydrogen in a subsonic combustor to produce thrust. The heat of combustion for hydrogen is 120 MJ/kg. The overall efficiency of the engine

, defined as the ratio of propulsive power to the total heat release in the combustor, is 40%. Taking acceleration due to gravity

m/s

, the specific impulse of the engine is ____________ seconds. (round off to the nearest integer).

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Given the function

, for

. What is the value of

at which the function has a minimum?

Your answerChoose one option.

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A supersonic aircraft has an air intake ramp that can be rotated about the leading edge O such that the shock from the leading edge meets the cowl lip as shown in the figure. Select all the correct statement(s) as per oblique shock theory when the flight Mach number M is increased.

Diagram for Aerospace Engineering question 37

Your answerChoose one option.

It is always possible to find a ramp setting

such that the shock still meets the cowl lip (

remains the same).

is held fixed, the shock angle

will increase.

If M exceeds a critical value, it would NOT be possible to find a ramp setting

such that the shock still meets the cowl lip (

remains the same).

Shock angle

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Two missiles A and B powered by solid rocket motors have identical specific impulse, liftoff mass of 560 kg each, and burn durations of

s and

s, respectively. The propellant mass flow rates,

and

, for missiles A and B, respectively, are given by

Neglecting gravity and aerodynamic forces, the relationship between the final velocities

and

of missiles A and B, respectively, is given by

Your answerChoose one option.

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A perfect gas stored in a large reservoir exhausts into the atmosphere through a convergent duct. The reservoir pressure is

and temperature is

. The jet emerges from the nozzle at choked conditions with average velocity

, Mach number M, pressure p, temperature T, and density

. If the reservoir pressure is increased, then

Your answerChoose one option.

, M, p, T, and

increase

, p, T, and

increase, but M remains the same

u, M, and T remain the same, but p and

increase

u, M, T and

remain the same, but p increases

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Consider a general aviation airplane with weight 10 kN and a wing planform area of 15 m

. The drag coefficient of the airplane is given as

with

and

. For level flight at an altitude where the density is 0.60 kg/m

and thrust 1 kN, the maximum cruise speed is (rounded off to the nearest integer)

Your answerChoose one option.

87 m/s

30 m/s

36 m/s

101 m/s

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GATE AE year:2023 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40