Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2016 Questions with Answer

Ques 40 GATE 2016

Consider an eigenvalue problem given by Ax=λix. If λi represent the eigenvalues of the non-singular square matrix A, then what will be the eigenvalues of matrix A2

A

λi4

B

λi2

C

λi1/2

D

λi1/4


(b) is the correct answer.

Ques 41 GATE 2016

If A and B are both non-singular n×n matrices, then which of the following statement is NOT TRUE.
Note: det represents the determinant of a matrix.

A

det(AB)=detdet(B)

B

det(A+B)=det(A)+det(B)

C

det(AA-1)=1

D

det(AT)=det(A)


(b) is the correct answer.

Ques 42 GATE 2016

Let x be a positive real number. The function f(x)=x2+1/x2 has its minima at x=


(1.0: 1.0) is the correct answer.

Ques 43 GATE 2016

The vector is defined as u→=yêx-xêy where êx and êy are the unit vectors along x and y directions, respectively. If the vector is defined as ω→=∇×u→, then |(ω→·∇)u→|=


(0.0:0.0) is the correct answer.

Ques 44 GATE 2016

The partial differential equation ∂u/∂t=α∂2u/∂x2 where α is a positive constant, is

A

circular.

B

elliptic.

C

hyperbolic.

D

parabolic.


(d) is the correct answer.

Ques 45 GATE 2016

The chairman requested the aggrieved shareholders to _______ him.

A

bare with

B

bore with

C

bear with

D

bare


(c) is the correct answer.

Ques 46 GATE 2016

Identify the correct spelling out of the given options:

A

Managable

B

Manageable

C

Managible

D

Mangaeble


(b) is the correct answer.

Ques 47 GATE 2016

The pitch angle and the angle of attack for a fixed wing aircraft are equal during

A

wings level constant altitude flight.

B

unaccelerated climb.

C

unaccelerated descent.

D

landing.


(a) is the correct answer.

Ques 48 GATE 2016

The governing differential equation of motion of a damped system is given by m d2x/dt2+c dx/dt+kx=0. If m=1 kg. If c=2 Ns/m and k=2 N/m then the frequency of the damped oscillation of this system is _______ rad/s.


(0.99: 1.01) is the correct answer.

Ques 49 GATE 2016

An aircraft is flying level in the North direction at a velocity of 55 m/s under cross wind from East to West of 5 m/s. For the given aircraft Cnp=0.012/deg and Cnδr=-0.0072/deg, where δr is the rudder deflection and is the side slip angle. The rudder deflection exerted by pilot is _______ degrees.


(8.6:8.7) is the correct answer.

Ques 50 GATE 2016

The aircraft velocity (m/s) components in body axes are given as [u,v,w]=[100,10,10]. The air velocity (m/s), angle of attack (deg) and sideslip angle (deg) in that order are

A

[120, 0.1, 0.1]

B

[100, 0.1, 0.1]

C

[100.995, 0.1, 5.73]

D

[100.995, 5.71, 5.68]


(d) is the correct answer.

Ques 51 GATE 2016

The Dutch roll motion of the aircraft is described by following relationship

The undamped natural frequency (rad/s) and damping ratio for the Dutch roll motion in that order are:

A

4.68, 1.02

B

4.49, 1.02

C

2.165, 0.235

D

2.165, 1.02


(c) is the correct answer.

Ques 52 GATE 2016

The damping ratio in phugoid motion for gliders is usually less compared to powered aircraft because

A

gliders are unpowered.

B

gliders are light.

C

lift to drag ratio is higher for gliders.

D

gliders fly at low speed.


(c) is the correct answer.

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: