Aerospace Engineering Gate 2024 Questions with Answer

Ques 14 GATE 2024


Which of the following statements about a general aviation aircraft, while operating at point Q in the V-n diagram, is/are true?

A

The aircraft has the highest turn rate

B

The aircraft has the smallest turn radius

C

The aircraft is flying with minimum drag

D

The aircraft is operating at CL,max


(c) is the correct answer.

Ques 15 GATE 2024


An airplane experiences a net vertical ground reaction of 15000 N during landing. The weight of the airplane is 10000 N. The landing vertical load factor, defined as the ratio of inertial load to the weight of the aircraft, is _______ (rounded off to 1 decimal place).


(1) is the correct answer.

Ques 16 GATE 2024


Which of the following statements about absolute ceiling and service ceiling for a piston-propeller aircraft is/are correct?

A

The altitude corresponding to absolute ceiling is higher than that for service ceiling

B

At the absolute ceiling, the power required for cruise equals the maximum power available

C

The altitude corresponding to absolute ceiling is lower than that for service ceiling

D

At the service ceiling, the maximum rate of climb is 50 ft/min


(a) is the correct answer.

Ques 17 GATE 2024


For an airplane having directional/weathercock static stability, which of the following options is/are correct?

A

The airplane, when disturbed in yaw from an equilibrium state, will experience a restoring moment

B

The variation of yawing moment coefficient (Cn) with sideslip angle (β) for the airplane will look like

C

The airplane will always tend to point into the relative wind

D

The airplane when disturbed in yaw will return to the equilibrium state in a finite amount of time after removing the disturbance


(a) is the correct answer.

Ques 18 GATE 2024


For an aircraft moving at 4 km altitude above mean sea level at a Mach number of 0.2, the ratio of equivalent airspeed to true airspeed is _______ (rounded off to 2 decimal places).
The density of air at mean sea level is 1.225 kg/m3 and at 4 km altitude is 0.819 kg/m3.


(1) is the correct answer.

Ques 19 GATE 2024


For a general aviation airplane, one of the complex conjugate pairs of eigenvalues for longitudinal dynamics is given by -0.039 ± 0.0567i (in SI units). If the system is disturbed to excite only this mode, the time taken for the amplitude of response to become half in magnitude is _______ s (rounded off to 1 decimal place).


(1) is the correct answer.

Ques 20 GATE 2024


An airplane of mass 1000 kg is in steady level flight with a speed of 50 m/s. The wing has an elliptic planform with a span of 20 m and a planform area of 31.4 m2. Assuming the density of air at that altitude to be 1 kg/m3 and acceleration due to gravity to be 10 m/s2, the induced drag on the wing is _______ N (rounded off to 1 decimal place).


(1) is the correct answer.

Ques 21 GATE 2024


In the context of steady, inviscid, incompressible flows, consider the superposition of a uniform flow with speed U along the positive x-axis (from left to right), and a source of strength A located at the origin. Which one of the following statements is NOT true regarding the location of the stagnation point of the resulting flow?

A

It is located to the left of the origin

B

It moves closer to the origin for increasing A, while U is held constant

C

It moves closer to the origin for increasing U, while A is held constant

D

It is located along the x-axis


(c) is the correct answer.

Ques 22 GATE 2024


On Day 1, an aircraft flies with a speed of V1 m/s at an altitude where the temperature is T1 K. On Day 2, the same aircraft flies with a speed of √1.2 * V1 m/s at an altitude where the temperature is 1.2 * T1 K. How does the Mach number M2 on Day 2 compare with the Mach number M1 on Day 1? Assume ideal gas behavior for air. Also assume the ratio of specific heats and molecular weight of air to be the same on both days.

A

M2 = 0.6 * M1

B

M2 = M1

C

M2 = (1/√1.2) * M1

D

M2 = √1.2 * M1


(b) is the correct answer.

Ques 23 GATE 2024


Consider a steady, isentropic, supersonic flow (Mach number M > 1) entering a Convergent-Divergent (CD) duct as shown in the figure. Which one of the following options correctly describes the flow at the throat?

A

Can only be supersonic

B

Can only be sonic

C

Can either be sonic or supersonic

D

Can only be subsonic


(c) is the correct answer.

Ques 24 GATE 2024


Consider steady, incompressible, inviscid flow past two airfoils shown in the figure. The coefficient of pressure at the trailing edge of the airfoil with finite angle, shown in figure (I), is CP1 while that at the trailing edge of the airfoil with cusp, shown in figure (II), is CPH. Which one of the following options is TRUE?

A

CP1 < 1, CPH < 1

B

CP1 = 1, CPH = 1

C

CP1 = 1, CPH < 1

D

CP1 < 1, CPH = 1


(d) is the correct answer.

Ques 25 GATE 2024


Consider a flat plate, with a sharp leading edge, placed in a uniform flow of speed U. The direction of the free-stream flow is aligned with the plate. Assume that the flow is steady, incompressible and laminar. The thickness of the boundary layer at a fixed stream-wise location L from the leading edge of the plate is δ. Which one of the following correctly describes the variation of δ with U?

A

δ ∝ U

B

δ ∝ U3/2

C

δ ∝ U1/2

D

δ ∝ U-1/2


(c) is the correct answer.

Ques 26 GATE 2024


Shock structures for flow at three different Mach numbers over a given wedge are shown in the figure below. Assuming that only the weak shock solutions are possible for the attached oblique shocks, which one of the following options is TRUE?

A

M1 < M2 < M3

B

M1 > M2 > M3

C

M1 < M3 < M2

D

M3 < M1 < M2


(d) is the correct answer.

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