Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2009 Questions with Answer

Ques 14 GATE 2009

In the interval 1≤x≤2 the function f(x)=eπx+sinπx is

A

maximum at x=1

B

maximum at x=2

C

maximum at x=1.5

D

monotonically decreasing


(b) is the correct answer.

Ques 15 GATE 2009

The inverse Laplace transform of F(s)=(s+1)/(s+4)(s-3) is

A

3/7e4t+4/7e-3t

B

3/7e-4t+4/7e3t

C

5/7e-4t+6/7e3t

D

5/7e4t+6/7e-3t


(b) is the correct answer.

Ques 16 GATE 2009

The linear system of equations Ax=b where has

A

no solution

B

infinitely many solutions

C

a unique solution x={11}

D

a unique solution x={0.50.5}


(a) is the correct answer.

Ques 17 GATE 2009

The correct iterative scheme for finding the square root of a positive real number R using the Newton
Raphson method is

A

xn+1=√R

B

xn+1'=12(xn+Rxn)

C

xn+1=12(√xn+√xn-1)

D

xn+1=12(√R+xn)


(b) is the correct answer.

Ques 18 GATE 2009

Consider the vector field →A = (y3 + z3)î + (x3 + z3)î + (x3 + y3)î defined over the unit sphere x2 + y2 + z2 = 1.
The surface integral (taken over the unit sphere) of the component of &vec;A normal to the surface is

A

π

B

1

C

0

D

4π


(c) is the correct answer.

Ques 19 GATE 2009

Consider the vector field →A = (y3 + z3)î + (x3 + z3)î + (x3 + y3)î defined over the unit sphere x2 + y2 + z2 = 1.
The magnitude of the component of &vec;A normal to the spherical surface at the point
(1/√3,1/√3,1/√3) is

A

1/3

B

2/3

C

3/3

D

4/3


(b) is the correct answer.

Ques 20 GATE 2009

An airplane flying at 100 m/s is pitching at the rate of 0.2 deg/s. Due to this pitching, the horizontal tail
surface located 4 metres behind the centre-of-mass of the airplane will experience a change in angle of
attack, which is

A

0.01 deg

B

0.008 deg

C

0.04 deg

D

0.004 deg


(d) is the correct answer.

Ques 21 GATE 2009

The linearized dynamics of an aircraft (which has no large rotating components) in straight and level
flight is governed by the equations

where represents the transpose of a matrix, [A], [B], [C] and [D] are 4×4 matrices and [0] is the 4×4 null matrix. Which of the following is true?

A

[A]≠[0]; [B]≠[0]; [C]=[0]; [D]≠[0]

B

[A]=[0]; [B]≠[0]; [C]≠[0]; [D]=[0]

C

[A]≠[0]; [B]=[0]; [C]=[0]; [D]≠[0]

D

[A]≠[0]; [B]=[0]; [C]≠[0]; [D]=[0]


(d) is the correct answer.

Ques 22 GATE 2009

The relation between an airplane's true airspeed VTAS and equivalent airspeed VEAS in terms of the
density ratio
(σ=ρρ0), where ρ0 is the air density at sea-level and ρ is the air density at the altitude
at which the airplane is flying, is given by the formula:

A

VEASVTAS=σ

B

VEASVTAS=σ2

C

VEASVTAS=√σ

D

VEASVTAS=1√σ


(c) is the correct answer.

Ques 23 GATE 2009

The velocity vector of an aircraft along its body-fixed axis is given by If V is the magnitude
of &vec;V, α is the angle of attack and β is the angle of sideslip, which of the following set of relations is
correct?

A

u=V sin β cos α; ν=V sin β; w=V cos β sin α

B

μ=V cos β cos α; v=V cos β; w=V cos β sin α

C

u=V cos β cos α; ν=V sin β; w=V sin β sin α

D

u=V cos β cos α; v=V sin β; w=V cos β sin α


(d) is the correct answer.

Ques 24 GATE 2009

An aircraft of mass 2500 kg in straight and level flight at a constant speed of 100 m/s has available
excess power of 1.0×106 W. The steady rate of climb it can attain at that speed is

A

100 m/s

B

60 m/s

C

40 m/s

D

20 m/s


(c) is the correct answer.

Ques 25 GATE 2009

An unswept fixed-winged aircraft has a large roll stability if the wing is placed

A

low on the fuselage and has negative dihedral angle

B

low on the fuselage and has positive dihedral angle

C

high on the fuselage and has negative dihedral angle

D

high on the fuselage and has positive dihedral angle


(d) is the correct answer.

Ques 26 GATE 2009

If CmCG is the pitching moment coefficient about the center of gravity of an aircraft, and α is the angle
of attack, then
dCmCGdα is

A

a stability derivative which represents stiffness in pitch

B

a stability derivative which represents damping in pitch

C

a control derivative in pitch

D

positive for an aircraft that is stable in pitch


(a) is the correct answer.

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