GATE AE exam:gate PYQs & Answers — Page 24

Questions 231–240 of 650. Imported answers require independent review unless marked reviewed.

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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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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GATE AE exam:gate PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45