Aerospace Engineering Gate 2026 Questions with Answer

Ques 14 GATE 2026

Consider the contour C shown in the figure below. For the vector F⃗ = (x + 2y)ê_x + (2x + 4y)ê_y, the integral ∮_C F⃗ · dl⃗ =________.
Here dl⃗ represents an infinitesimal length along the contour C.

Ques 15 GATE 2026

The Fourier series representation of a square wave is shown in the figure below. The fluctuations seen near x = ±1 are named after which one of the following scientists?

Ques 16 GATE 2026

The following equation with respect to φ(x,t), where a is a non-zero constant, represents ________.
∂φ/∂t + a ∂φ/∂x = 0

Ques 17 GATE 2026

An n × n square matrix A satisfies A^T = A⁻¹. The determinant of this matrix may take which of the following value(s)?

Ques 18 GATE 2026

If a matrix can be written as A = uv^T, where both u and v are n-dimensional real-valued non-zero column vectors, then the rank of the matrix A is ________ (answer in integer).

Ques 19 GATE 2026

For the matrix A = [a b; c d], if the relation a + b = c + d holds and a,b,c,d ≠ 0, then which one of the following statements about A is FALSE?

Ques 20 GATE 2026

Consider the differential equation with the initial conditions given below. If y(x) is the solution of the equation, the value of the slope, dy/dx, at x = ln(2) is ________ (rounded off to three decimal places).
d²y/dx² + 2 dy/dx + y = 0 with y|_x=0 = 0 and dy/dx|_x=0 = 1

Ques 21 GATE 2026

An object of mass 1 kg is launched with an initial speed of v_o into a large tank filled with a viscous liquid. The liquid exerts a resistive force (drag) of the form D = αv on any object that is moving inside it, where v is the instantaneous speed of the object and α = 1 kg/s. If the effect of gravity is ignored, the time taken by the object to slow down to the speed v_o/2 is ________ s (rounded off to 2 decimal places).
Assume that the tank is sufficiently large for the above deceleration to happen inside the tank.

Ques 22 GATE 2026

The minimum value of the function f(x) = |x| + |2x + 3| for real x is ________ (rounded off to 1 decimal place).

Ques 23 GATE 2026

Which of the following statements is/are TRUE about the stability of an aircraft?

Ques 24 GATE 2026

An aircraft starts gliding in power-off condition at an altitude of 4 km. Given that the maximum lift to drag ratio of the aircraft is 15, the maximum glide range that the aircraft can cover, measured along the ground, is ________ km (rounded off to the nearest integer).

Ques 25 GATE 2026

W_A and W_B are the respective maximum take-off weights of an aircraft for two ambient air conditions given below.
Condition A: p = 1 bar, T = 50 °C; Condition B: p = 0.66 bar, T = −30 °C
If all other parameters relevant for take-off are kept the same in these two conditions, the ratio W_B/W_A is ________ (rounded off to 3 decimal places).

Ques 26 GATE 2026

In fluid dynamics, d’Alembert’s paradox refers to which one of the following?