Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2019 Questions with Answer

Ques 14 GATE 2019

A scalar function is given by f(x, y) = x2 + y2. Take î and ĵ as unit vectors along the x and y axes, respectively. At (x, y) = (3, 4) the direction along which f increases the fastest is _______.

A

(1/5)(4î - 3ĵ)

B

(1/5)(3î - 4ĵ)

C

(1/5)(3î + 4ĵ)

D

(1/5)(4î + 3ĵ)


(c) is the correct answer.

Ques 15 GATE 2019

A function f(x) is defined by f(x) = (1/2)(x + |x|). The value of

dx is _______ (round off to 1 decimal place).


(0.5 to 0.5) is the correct answer.

Ques 16 GATE 2019

The value of the following limit is _______ (round off to 2 decimal places).


(0.16 to 0.17) is the correct answer.

Ques 17 GATE 2019

When a propeller airplane in ground-roll during take-off experiences headwind, which of the following statements is FALSE?

A

The drag on the airplane increases.

B

The thrust from the propellers decreases.

C

The wing lift increases.

D

The ground-roll distance increases.


(d) is the correct answer.

Ques 18 GATE 2019

Which of the following graphs represents the response of a dynamically unstable airplane?

A

B

C

D


(a) is the correct answer.

Ques 19 GATE 2019

The airplane shown in the figure starts executing a symmetric pull-up maneuver from steady level attitude with a constant nose-up pitch acceleration of 20 deg/s2. The vertical load factor measured at this instant at the center of gravity (CG) is 2. Given that the acceleration due to gravity is 9.81 m/s2, the vertical load factor measured at point P on the nose of the airplane, which is 2 m ahead of the CG, is _______ (round off to 2 decimal places).


(2.06 to 2.08) is the correct answer.

Ques 20 GATE 2019

The design of an airplane is modified to increase the vertical tail area by 20% and decrease the moment arm from the aerodynamic centre of the vertical tail to the airplane centre of gravity by 20%. Assuming all other factors remain unchanged, the ratio of the modified to the original directional static stability (C_N_β due to tail fin) is _______ (round off to 2 decimal places).


(0.96 to 0.96) is the correct answer.

Ques 21 GATE 2019

The dimensions of kinematic viscosity of a fluid (where L is length, T is time) are _______.

A

LT-1

B

L2T-1

C

LT-2

D

L-2T


(b) is the correct answer.

Ques 22 GATE 2019

φ(x, y) represents the velocity potential of a two-dimensional flow with velocity field V⃗ = u(x, y)î + v(x, y)ĵ, where î and ĵ are unit vectors along the x and y axes, respectively. Which of the following is necessarily true?

A

∇2φ = 0

B

∇ x V⃗ = 0

C

∇ • V⃗ = 0

D

u = -∂φ/∂y, v = ∂φ/∂x


(b) is the correct answer.

Ques 23 GATE 2019

For a quasi-one-dimensional isentropic supersonic flow through a diverging duct, which of the following is true in the direction of the flow?

A

Both the Mach number and the static temperature increase.

B

The Mach number increases and the static temperature decreases.

C

The Mach number decreases and the static temperature increases.

D

Both the Mach number and the static temperature decrease.


(b) is the correct answer.

Ques 24 GATE 2019

A two-dimensional, incompressible fluid flow is described by the stream function Ψ = xy3 m2/s on the Cartesian x-y plane. If the density and dynamic viscosity of the fluid are 1 kg/m3 and 0.1 kg/m-s, respectively, the magnitude of the pressure gradient in the x-direction at x = 1 m and y = 1 m is _______ N/m3 (round off to 1 decimal place).


(3.5 to 3.7 or 2.3 to 2.5) is the correct answer.

Ques 25 GATE 2019

The static pressure ratio across a stationary normal shock is given by

where M1 is the upstream Mach number. For a stationary normal shock in air (γ = 1.4, R = 287 J/kg-K) with upstream flow conditions given by: speed 800 m/s, static temperature 300 K and static pressure 1 atm., the static pressure downstream of the shock is _______ atm (round off to 2 decimal places).


(5.95 to 6.10) is the correct answer.

Ques 26 GATE 2019

The fishermen, _______ the flood victims owed their lives, were rewarded by the government.

A

whom

B

to which

C

to whom

D

that


(c) is the correct answer.

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