Aerospace Engineering Gate 2013 Questions with Answer

Ques 40 GATE 2013


Given that the Laplace transform, L(eat)=1/(s-a) then L(3e5tsinh 5t)=

A

3s/(s2-10s)

B

15/(s2-10s)

C

3s/(s2+10s)

D

15/(s2+10s)


(b) is the correct answer.

Ques 41 GATE 2013


Values of a, b and c, which render the matrix

orthonormal are, respectively

A

1/√2, 1/√2, 110

B

1/√6, -2/√6, 1/√6

C

-1/√3, -1/√3, 1/√3

D

-1/√6, 2/√6, -1/√6


(d) is the correct answer.

Ques 42 GATE 2013


A function y(t) satisfies the differential equation d2y/dt2-2dy/dt+y=0 and is subject to the initial conditions y(t=0)=0 and dy/dt(t=0)=1. The value of y(t=1) is

A

e

B

0

C

1

D

-1


(a) is the correct answer.

Ques 43 GATE 2013


The Headmaster _______ to speak to you. Which of the following options is incorrect to complete the above sentence?

A

is wanting

B

wants

C

want

D

was wanting


(c) is the correct answer.

Ques 44 GATE 2013


Mahatama Gandhi was known for his humility as

A

he played an important role in humiliating exit of British from India.

B

he worked for humanitarian causes.

C

he displayed modesty in his interactions.

D

he displayed modesty in his interactions.


(c) is the correct answer.

Ques 45 GATE 2013



Which of the above underlined parts of the sentence is not appropriate?

A

I

B

II

C

III

D

IV


(d) is the correct answer.

Ques 46 GATE 2013


Which one of the following is the most stable configuration of an airplane in roll?

A

Sweep back, anhedral and low wing

B

Sweep forward, dihedral and low wing

C

Sweep forward, anhedral and high wing

D

Sweep back, dihedral and high wing


(d) is the correct answer.

Ques 47 GATE 2013


A supersonic airplane is expected to fly at both subsonic and supersonic speeds during its whole flight course. Which one of the following statements is TRUE?

A

Airplane will experience less stability in pitch at supersonic speeds than at subsonic speeds

B

Airplane will feel no change in pitch stability

C

Airplane will experience more stability in pitch at supersonic speeds than at subsonic speeds

D

Pitch stability cannot be inferred from the information given


(a) is the correct answer.

Ques 48 GATE 2013


Which one of the following is TRUE with respect to Phugoid mode of an aircraft?

A

Frequency is directly proportional to flight speed

B

Frequency is inversely proportional to flight speed

C

Frequency is directly proportional to the square root of flight speed

D

Frequency is inversely proportional to the square root of flight speed


(c) is the correct answer.

Ques 49 GATE 2013


A damped single degree-of-freedom system is vibrating under a harmonic excitation with an amplitude ratio of 2.5 at resonance. The damping ratio of the system is

A

0.1

B

0.2

C

0.4

D

0.2


(b) is the correct answer.

Ques 50 GATE 2013


Consider an airplane with rectangular straight wing at dihedral angle Γ=100 Lift curve slope of wing airfoil section (constant over the whole span of the wing) is c=5.4/rad The roll stability derivative, C in per radian is


(0.19 to 0.21) is the correct answer.

Ques 51 GATE 2013


A wing-body alone configuration airplane with a wing loading of W/S = 1000 N/m2 is flying in cruise condition at a speed V = 90 m/s at sea-level (air density at sea-level ρ = 1.22 kg/m3). The zero lift pitching moment coefficient of the airplane is Cmacwb = Cm0 = –0.06 and the location of airplane aerodynamic center from the wing leading edge is Xac = 0.25c. Here c is the chord length.
The airplane trim lift coefficient CL~win is

A

0.502

B

0.402

C

0.302

D

0.202


(c) is the correct answer.

Ques 52 GATE 2013


A wing-body alone configuration airplane with a wing loading of W/S = 1000 N/m2 is flying in cruise condition at a speed V = 90 m/s at sea-level (air density at sea-level ρ = 1.22 kg/m3). The zero lift pitching moment coefficient of the airplane is Cmacwb = Cm0 = –0.06 and the location of airplane aerodynamic center from the wing leading edge is Xac = 0.25c. Here c is the chord length.
Distance of center of gravity of the aircraft (XCG) from the wing leading edge is

A

0.447c

B

-0.547c

C

0.547c

D

-0.25c


(c) is the correct answer.

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