GATE AE 2014: Aerospace Engineering
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GATE 2014: General Instructions during Examination
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GATE 2014 Examination
AE: Aerospace Engineering
Duration: 180 minutes Maximum Marks: 100
Read the following instructions carefully.
1. To login, enter your Registration Number and password provided to you. Kindly go through the various
symbols used in the test and understand their meaning before you start the examination.
2. Once you login and after the start of the examination, you can view all the questions in the question
paper, by clicking on the View All Questions button in the screen.
3. This question paper consists of 2 sections, General Aptitude (GA) for 15 marks and the subject
specific GATE paper for 85 marks. Both these sections are compulsory.
The GA section consists of 10 questions. Question numbers 1 to 5 are of 1-mark each, while question
numbers 6 to 10 are of 2-mark each.
The subject specific GATE paper section consists of 55 questions, out of which question numbers 1 to
25 are of 1-mark each, while question numbers 26 to 55 are of 2-mark each.
4. Depending upon the GATE paper, there may be useful common data that may be required for
answering the questions. If the paper has such useful data, the same can be viewed by clicking on the
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GATE 2014 SET- 1 General Aptitude -GA
Q. 1 – Q. 5 carry one mark each.
Q.1 A student is required to demonstrate a high level of comprehension of the subject, especially in the
social sciences.
The word closest in meaning to comprehension is
(A) understanding (B) meaning (C) concentration (D) stability
Q.2 Choose the most appropriate word from the options given below to complete the following
sentence.
One of his biggest ______ was his ability to forgive.
(A) vice (B) virtues (C) choices (D) strength
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Q.3 Rajan was not happy that Sajan decided to do the project on his own. On observing his
unhappiness, Sajan explained to Rajan that he preferred to work independently.
Which one of the statements below is logically valid and can be inferred from the above sentences?
(A) Rajan has decided to work only in a group.
(B) Rajan and Sajan were formed into a group against their wishes.
Q.4
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(C) Sajan had decided to give in to Rajan’s request to work with him.
(D) Rajan had believed that Sajan and he would be working together.
If y = 5x2 + 3, then the tangent at x = 0, y = 3
(A) passes through x = 0, y = 0 (B) has a slope of +1
(C) is parallel to the x-axis (D) has a slope of −1
Q.5 A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs 800Q,
E
where Q is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily
production of 100 tonnes?
AT
Q. 6 – Q. 10 carry two marks each.
Q.6 Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK
(A) ALRVX (B) EPVZB (C) ITZDF (D) OYEIK
G
Q.7 Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building
(the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered
floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors
below Faisal’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor
immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the
following floor-person combinations is correct?
Anuj Bhola Chandan Dilip Eswar Faisal
(A) 6 2 5 1 3 4
(B) 2 6 5 1 3 4
(C) 4 2 6 3 1 5
(D) 2 4 6 1 3 5
GA 1/2
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GATE 2014 SET- 1 General Aptitude -GA
Q.8 The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The
ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its
smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the
largest angle of the quadrilateral?
Q.9 One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y
are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both
countries together, what is the percentage of people taller than 6 ft?
(A) 3.0 (B) 2.5 (C) 1.5 (D) 1.25
Q.10 The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure.
Which of the following are true? (k percentile is the value such that k percent of the data fall below
that value)
14
20
E
(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
AT
(iv) In August, there is at least 500 mm of rainfall
(A) (i) and (ii) (B) (i) and (iii)
(C) (ii) and (iii) (D) (iii) and (iv)
G
END OF THE QUESTION PAPER
GA 2/2
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GATE 2014 AEROSPACE– AE
Q. 1 – Q. 25 carry one mark each.
Q.1 For a real symmetric matrix [A], which of the following statements is true:
(A) The matrix is always diagonalizable and invertible.
(B) The matrix is always invertible but not necessarily diagonalizable.
(C) The matrix is always diagonalizable but not necessarily invertible.
(D) The matrix is always neither diagonalizable nor invertible.
Q.2 ∞
m2
∑ 3m (x − 2) converges for all x with x − 2 ≤ R given by
m
The series s =
m =1
(A) R = 0 (B) R = 3 (C) R = ∞ (D) R = 1 / 3
)
Q.3 sin(1 / x ), x ≠ 0
The function given by f(x) = 0,
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{ x=0 is
(A) Unbounded everywhere (B) Bounded and continuous everywhere
(C) Bounded but not continuous at x = 0 (D) Continuous and differentiable everywhere
20
Q.4 d dy
Given the boundary-value problem x + ky = 0, 0 < x < 1 , with y (0) = y (1) = 0 . Then the
dx dx
solutions of the boundary-value problem for k = 1 (given by y1 ) and k = 5 (given by y5 ) satisfy:
1 dy1 dy5
∫ y y dx = 0
E
1
(A)
0
1 5 (B) ∫ dx dx dx = 0
0
1 dy1 dy5
∫ y y dx ≠ 0
1
(C)
∫
(D) ( y1 y5 + )dx = 0
AT
1 5
0 0 dx dx
Q.5 1
The value of I = ∫ 1000 x dx , obtained by using Simpson’s rule with 2 equally spaced intervals is,
4
0
(A) 200 (B) 400 (C) 180 (D) 208
(G
Q.6 For a NACA 5-digit airfoil of chord c, the designed lift coefficient and location of maximum
camber along the chord from the leading edge are denoted by CL and Xm respectively. For
NACA12018 airfoil, which combination of CL and Xm given below are correct?
(A)CL =0.15 and Xm = 0.1c (B)CL =0.12 and Xm = 0.2c
AE
(C)CL=0.12 and Xm = 0.18c (D)CL =0.15 and Xm = 0.2c
Q.7 For inviscid, supersonic flow over a diamond shaped airfoil, shown in the figure, which statement is
correct among the following?
(A) The airfoil will experience zero lift and positive drag force
(B) The airfoil will experience positive lift and zero drag force
(C) The airfoil will experience negative lift and zero drag force
(D) The airfoil will experience positive lift and positive drag force
AE 1/11
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GATE 2014 AEROSPACE– AE
Q.8 Consider supersonic flow near a corner (at an angle θfrom the horizontal) with an attached oblique
shock (at an angle β with horizontal) as shown in figure. If Mach number M decreases gradually
from a high supersonic value, which of the following statements is correct?
(A)β will decrease if the shock is a weak shock
(B)β will decrease if the shock is a strong shock
(C)β will increase for both weak and strong shocks
(D)β remains unchanged for both weak and strong shocks
)
14
Q.9 The streamlines of a potential line vortex is concentric circles with respect to the vortex center as
shown in figure. Velocity along these streamlines, outside the core of the vortex can be written as,
Γ Γ
vvθθ = , where strength of the vortex is and r is radial direction. The value of circulation
2ππππ 2ππ
along the curve shown in the figure is:
20
E
AT
(A) Γ (B) −2Γ (C) 2Γ (D) 0
Q.10 To observe unsteady separated flow in a diverging channel, bubbles are injected at each 10ms
interval at point A as shown in figure. These bubblesact as tracer particles and follow the flow
(G
faithfully. The curved line AB shown at any instant represents:
AE
(A) Streamline, streakline and pathline (B) Streamline and pathline
(C) Only a pathline (D) Only a streakline
Q.11 It is desired to measure the Young’s modulus and the Poisson’s ratio of a given homogeneous,
isotropic material. A bar of length 20cm and square cross-section (10mm× 10mm) of this material is
subjected to a tensile load of 40kN. Under this load, length increases to 20.1cm while the cross-
section reduces to 9.98mm× 9.98mm. Young’s modulus and Poisson’s ratio of the material are:
(A) 80GPa& 0.4 respectively (B) 40GPa& -0.4 respectively
(C) 80GPa& -0.2 respectively (D) 40GPa& 0.2 respectively
AE 2/11
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GATE 2014 AEROSPACE– AE
Q.12 In general, for any given solid subjected to arbitrary loading, which of the following statements is
always true:
(A) Volume does not vary with loading (B) Mass does not vary with loading
(C) Density does not vary with loading (D) Volume, mass and density vary with loading
Q.13 Which one of the following objects with inclined face at 45oo , subjected to the given stresses, are in
static equilibrium:
)
14
(A) (B)
20
a
(C) (D)
Q.14 A damped single degree of freedom system whose undamped natural frequency,ωωnn=10Hz, is
E
subjected to sinusoidal external force. Power is half of the maximumfor the two frequencies of
60.9469 rad/s and 64.7168 rad/s. The damping factor associated with the vibrating system (in %) is
_______.
AT
Q.15 The boundary conditions for a rod with circular cross-section, under torsional vibration,are changed
from fixed-free to fixed-fixed. The fundamental natural frequency of the fixed-fixed rod is k times
that of fixed-free rod. The value of k is
(G
(A) 1.5 (B) π (C) 2.0 (D) 0.5
Q.16 Match the appropriate engine (in right column) with the corresponding aircraft (in left column) for
most efficient performance of the engine.
a. Low speed transport aircraft i. Ramjet
AE
b. High subsonic civilian aircraft ii. Turboprop
c. Supersonic fighter aircraft iii. Turbojet
d. Hypersonic aircraft iv. Turbofan
(A) a – iv, b – iii, c – i, d – ii (B) a – ii, b – i, c – iii, d – iv
(C) a – i, b – ii, c – iv, d – iii (D) a – ii, b – iv, c – iii, d – i
Q.17 For a given fuel flow rate and thermal efficiency, the take-off thrust for a gas turbine engine
burning aviation turbine fuel (considering fuel-air ratiof<<1) is
(A) Directly proportional to exhaust velocity
(B) Inversely proportional to exhaust velocity
(C) Independent of exhaust velocity
(D) Directly proportional to the square of the exhaust velocity
AE 3/11
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GATE 2014 AEROSPACE– AE
Q.18 For a fifty percent reaction axial compressor stage, following statements are given:
I. Velocity triangles at the entry and exit of the rotor are symmetrical
II. The whirl or swirl component of absolute velocity at the entry of rotor and entry of stator are
same.
Which of the following options are correct?
(A) Both I and II are correct statements (B) I is correct but II is incorrect
(C) I is incorrect but II is correct (D) Both I and II are incorrect
Q.19 A small rocket having a specific impulse of 200s produces a total thrust of 98kN, out of which 10kN
is the pressure thrust. Considering the acceleration due to gravity to be 9.8m/s2, the propellant mass
flow rate in kg/s is
(A) 55.1 (B) 44.9 (C) 50 (D) 60.2
)
Q.20 The thrust produced by a turbojet engine
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(A) Increases with increasing compressor pressure ratio
(B) Decreases with increasing compressor pressure ratio
(C) Remains constant with increasing compressor pressure ratio
(D) First increases and then decreases with increasing compressor pressure ratio
20
Q.21 The moment coefficient measured about the centre of gravity and about aerodynamic centre of a
given wing-body combination are 0.0065 and -0.0235 respectively. The aerodynamic centre lies
0.06 chord lengths ahead of the centre of gravity. The lift coefficient for this wing-body is _____.
Q.22 The vertical ground load factor on a stationary aircraft parked in its hangar is:
E
(A) 0 (B) -1 (C) Not defined (D) 1
Q.23 Under what conditionshould a glider be operated to ensure minimum sink rate?
AT
(A) Maximum CL/CD (B) Minimum CL/CD
(C) Maximum CD/CL3/2 (D) Minimum CD/CL3/2
Q.24 In most airplanes, the Dutch roll mode can be excited by applying
(G
(A) a step input to the elevators (B) a step input to the rudder
(C) a sinusoidal input to the aileron (D) an impulse input to the elevators
Q.25 Considering R as the radius of the moon, the ratio of the velocities of two spacecraft orbiting moon
in circular orbit at altitudes R and 2R above the surface of the moon is ________.
AE
Q. 26 – Q. 55 carry two marks each.
3 −3
. Then det (− [ A] + 7[ A] − 3[ I ]) is
Q.26
If [A] = 2
− 3 4
(A) 0 (B) -324 (C) 324 (D) 6
AE 4/11
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GATE 2014 AEROSPACE– AE
Q.27 −2, −π < x<0
For the periodic function given by f ( x ) = { 2, 0< x<π with f ( x + 2π ) = f ( x) , using
1 1 1
Fourier series, the sum s = 1 − + − + converges to
3 5 7
π π π
(A) 1 (B) (C) (D)
3 4 5
Q.28 Let Γ be the boundary of the closed circular region A given by x 2 + y 2 ≤ 1 . Then
( )
I = ∫ 3 x 3 − 9 xy 2 ds (where ds means integration along the bounding curve) is
Γ
(A) π (B) − π (C) 1 (D) 0
)
14
Q.29 Solution to the boundary-value problem
d 2u du
− 9 2 + u = 5 x, 0 < x < 3 with u (0) = 0, = 0 is
dx dx x =3
(
15e − x / 3
) (
15e − x / 3
)
20
(A) u ( x) = e − e x / 3 + 5x (B) u ( x) = e + e x / 3 + 5x
1 + e2 1 + e2
15 sin( x / 3) 15 sin( x / 3) 5 3
(C) u ( x) = − + 5x (D) u ( x) = − − x
cos(1) cos(1) 54
Q.30 d 2u
E
du
The Laplace transform L(u(t))=U(s), for the solution u(t) of the problem 2
+ 2 + u = 1, t > 0
dt dt
.
AT
du (0)
with initial conditions u (0) = 0, = 5 is given by:
dt
6 5s + 1 1 − 5s 5s 2 + 1
(A) (B) (C) (D)
( s + 1) 2 s ( s + 1) 2 s ( s + 1) 2 s ( s + 1) 2
(G
Q.31 For a steady, incompressible two-dimensional flow, represented in Cartesian co-ordinates (xx, yy), a
dddd dddd
student correctly writes the equation of pathline of any arbitrary particle as, = aaaa and = bbbb,
-1
dddd dddd
wherea and bare constants having unit of (second) . If value of a is 5, the value of b is _____.
AE
AE 5/11
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GATE 2014 AEROSPACE– AE
Q.32 Figures (a) - (d) below show four objects. Dimensions and surface conditions of the objects are
shown in the respective figures. All four objects are placed independently in a steady, uniform flow
of same velocity and the direction of flow is from left to right as shown in (a). The flow field can be
considered as 2-D, viscous and incompressible. Following statements are made regarding the drag
that these objects experience.
(i) Drag of object (a) is more than the drag of object (d)
)
(ii) Drag of object (a) is less than the drag of object (d)
(iii) Drag of object (b) is more than the drag of object (c)
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(iv) Drag of object (c) is more than the drag of object (b)
(v) Drag of object (a) is more than the drag of object (b)
Choose the correct combination of statements from the options given above:
20
(A) (i), (iii), (v) (B) (ii), (iv), (v) (C) (i), (iv), (v) (D) (i), (iii)
Q.33 A student needs to find velocity across a stationary normal shock. He measures density and
pressure across the shock as shown in the figure below. 1bar = 105 Pa. (No shock table is needed
for the calculations). The value of u1 in m/s is ____.
E
AT
Q.34 For inviscid, compressible flow past a thin airfoil, shown in the figure, free-stream Mach number
(G
and pressure are denoted by MM∞ and pp∞ respectively. Ratio of pressure at point A and pp∞ is 0.8
and specific heat ratio is 1.4. If the Mach number at point A is 1.0 and rest of the flow field is
subsonic, the value of MM∞ is
AE
(A) 2.95 (B) 0.79 (C) 1.18 (D) 0.64
AE 6/11
Text of page 13
GATE 2014 AEROSPACE– AE
Q.35 A student can measure free-stream velocity of a low-speed wind tunnel using a
i. Pitot tube alone aligned with the flow direction.
ii. Pitot tube aligned with the flow direction with static pressure measurement at an
appropriate position on the tunnel wall.
iii. Pitot tube aligned with the flow direction along with barometer pressure reading of the
outside ambient.
iv. Pitot static tube alone aligned with the flow direction.
Considering the above statements, which of the following options is correct?
(A) (i) only (B) (i) & (ii) (C) (ii) & (iv) (D) (i), (iii) & (iv)
Q.36 Induced velocity w at a point zz = zz1 along the lifting line can be calculated using the formula
1 ss ddΓ 1
ww(zz1 ) = − dddd.
4ππ ∫−ss dddd zz−zz1
)
Γ2 zz 2
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Given 2 + = 1, wherezz, Γoo and sare given in figure below.
Γ oo ss 2
For theabove semi-elliptic distribution of circulation, Γ, the downwash velocity at any point zz1, for
Γoo ss dddd
symmetric flight can be obtained as, ww(zz1 ) = [ππ + zz1 II], where II = zz1 ∫−ss 2 .
4ππππ �ss −zz2 �zz−zz �
1
20
ss zz 2 ππππ
Which of the following options is correct if the induced drag is DDii (given ∫
−ss
� 1 − 2
dddd = )
ss 2
E
AT
8ρρΓ2 8ρρΓ2
(A)I=0 and DDii = ππ oo (B)I= 1 and DDii = ππ oo
ππππΓ2oo ππππΓ2oo
(C)I=0 and DDii = (D)I= 1 and DDii =
(G
8 8
Q.37 Two overflowing water reservoirs are connected with a100m long pipe of circular cross-section (of
radius, R = 0.02m), such that height difference h remains constant as shown in the figure below.
The centerline velocity in the pipe is 10m/s. The velocity profile inside the pipe over the entire
2 dddd
RR dddd rr2
length is uu = − �1 − 2 �, where, is a constant pressure gradient along the pipe length,
AE
4μμ dddd RR dddd
x is measured from theleft end of the pipe along its central axis and r is radial location inside the
pipe with respect to its axis.(Given data: Density and kinematic viscosity of water are 1000kg/m3
and 1x10-6m2/srespectively; acceleration due to gravity is 10m/s2).
If all other losses except the frictional losses at the pipe wall are neglected, the value of h in meter
is ____.
AE 7/11
Text of page 14
GATE 2014 AEROSPACE– AE
Q.38 A 1.8m long steel beam of rectangular cross section (10mm× 6mm) is simply supported with a
length of 1.2m between the supports and an overhang of 0.3m on either side. Young’s modulus for
the material of the beam is 200GPa. For a 50N load applied at the center of the beam, magnitude of
the slopeof the beam at tip S is _______.
)
Q.39 There are 2 designs proposed for a shaft of length l, with a torque carrying capacity of T.Design I is
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a solid circular cross-section shaft of diameter30mm. Design II is a thin-walled circular shaft of
average diameter 40mm. Thickness of the wall in Design II has to be determined such that
maximum shear stress is the same in both the designs for the given torque T(so that same material
can be used for manufacturing both the shafts). Ratio of mass of shaft using Design Ito the mass of
shaft using Design II is
20
E
AT
(A) 2.68 (B) 5.36 (C) 1.79 (D) 3.58
(G
Q.40 A structural member of rectangular cross-section 10mm× 6mm and length 1m is made of steel
(Young’s modulus is 200GPa and coefficient of thermal expansion is 12 × 10−6 / oo CC ). It is rigidly
fixed at both the ends and then subjected to a gradual increase in temperature. Ignoring the three
dimensional effects, the structural member will buckle if the temperature is increased by ∆TT oo CC
which is
AE
(A) 19.74 (B) 9.87 (C) 78.96 (D) 39.48
Q.41 A gas cylinder (closed thin-walled cylindrical pressure vessel) of diameter 30cm and wall thickness
1mm is subjected to a design maximum internal pressure of 5bar (0.5MPa). The material used for
manufacturing this cylinder has a failure stress of 260MPa. Assuming von Mises failure criterion,
the factor of safety (with respect to maximum allowable stress) for this cylinder is
(A) 2.8 (B) 2.0 (C) 6.9 (D) 4.0
AE 8/11
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GATE 2014 AEROSPACE– AE
Q.42 A cantilevered beam is subjected to a parabolic distribution of shear traction at the right edge while
the top and bottom surfaces are traction free. To solve this problem, following Airy’s stress
function is proposed: φφ = CC1 xxxx + CC2 xxyy 3 + CC3 xx 2 yy 2 + CC4 xx 3 yy. This is an admissible Airy’s
function that would satisfy the bi-harmonic equation as well as the boundary conditions if and only
if
λλ λλ
(A)CC1 = 0,CC2 = λλ, CC3 = 0, CC4 = 2 (B)CC1 = λλ,CC2 = 2 , CC3 = 0, CC4 = 0
3dd 3dd
λλ λλ
(C)CC1 = 0,CC2 = 0, CC3 = λλ,CC4 = − 2 (D)CC1 = λλ,CC2 = − 2 , CC3 = 0,CC4 = 0
3dd 3dd
)
Q.43 1kg mass is hanging from a spring of stiffness 500N/m attached to a massless,symmetric beam of
length 0.6m, moment of inertia about the bending axisII = 8.33 × 10−10 mm4 and Young’s modulus
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E=210GPa as shown in the figure. The fundamental natural frequency (in rad/s) of the system is
(A) 3.24 (B) 20.36
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(C) 22.36 (D) 3.56
E
Q.44 A single degree of freedom system is vibrating with initial (first cycle) amplitude of 5cm. The
viscous damping factor associated with the vibrating system is 2%. Vibration amplitude of the fifth
AT
cycle (in cm) is
(A) 1.65 (B) 4.41 (C) 2.67 (D) 3.02
Q.45 A cruise missile with an ideal ramjet engine is flying at Mach 4.0 at an altitude where the ambient
temperature is 100K. Considerratio of specific heatsγ = 1.4 and specific gas constant R = 287J/kgK.
(G
If the stagnation temperature in the combustion chamber is equal to 2310K, the speed of the exhaust
gases (in m/s) is _____________.
Q.46 A gas turbine engine is operating under the following conditions:
AE
Stagnation temperature at turbine inlet 1350 K
Stagnation pressure at the turbine inlet 10 bar
Static temperature at turbine exit 800 K
Velocity at turbine exit 200 m/s
Total-to-total efficiency of turbine 0.96
γ (ratio of specific heats) 1.33
CP(specific heat at constant pressure) 1.147 kJ/kgK
The stagnation pressure (in bar) in the nozzle (considering isentropic nozzle) is equal to _______.
AE 9/11
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GATE 2014 AEROSPACE– AE
Q.47 Air at a stagnation temperature of 300K (ratio of specific heats, γ = 1.4 and specific gas constant R
= 287 J/kgK) enters the impeller of a centrifugal compressor in axial direction. The stagnation
pressure ratio between the diffuser outlet and impeller inlet is 4.0. The impeller blade radius is 0.3
m and it is rotating at 15000 rev/min. If the slip factor σs (Ratio of tangential component of air
velocity at the blade tip to the blade tip speed) is 0.88, the overall efficiency (total-to-total) of the
compressor (in %) is ___________.
Q.48 A stationary two stage rocket with initial mass of 16000kg, carrying a payload of 1000kg, is fired in
a vertical trajectory from the surface of the earth. Both the stages of the rocket have same specific
impulse, Isp, of 300s and same structural coefficient of 0.14. The acceleration due to gravity is
9.8m/s2. Neglecting drag and gravity effects and considering both the stages with same payload
ratio, the terminal velocity attained by the payload in m/s is __________________.
)
Q.49 An aircraft is flying at Mach 3.0 at an altitude where the ambient pressure and temperature are 50
14
kPa and 200 K respectively. If the converging-diverging diffuser of the engine (considered
isentropic with ratio of specific heats, γ = 1.4 and specific gas constant R = 287 J/kgK) has a throat
area of 0.05 m2, the mass flow rate through the engine in kg/s is
(A) 197 (B) 232 (C) 790 (D) 157
20
Q.50 A cryogenic rocket has a specific impulse of 455s and characteristic velocity of 2386 m/s. The
value of thrust coefficient for this rocket is
(A) 1.78 (B) 1.73 (C) 1.87 (D) 1.95
Q.51 For a given airplane with a given wing loading executing a turn in the vertical plane, under what
E
conditions will the turn radius be minimum and the turn rate be maximum?
(A) Highest possible CLand lowest possible load factor
AT
(B) Lowest possible CLand lowest possible load factor
(C) Lowest possible CLand highest possible load factor
(D) Highest possible CLand highest possible load factor
Q.52 Lift-off distance for a given aircraft of weight W is SLO. If the take-off weight is reduced by 10%,
then the magnitude of percentage change in the lift-off distance (assume all other parameters to
(G
remain constant) is _______.
Q.53 Which of the following design parameters influence the maximum rate-of-climb for a jet-propelled
airplane?
P. Wing loading
AE
Q. Maximum thrust-to-weight ratio
R. Zero-lift drag coefficient
S. Maximum lift-to-drag ratio
(A) P and Q alone (B) P, Q, R and S (C) P, Q and S alone (D) Q, R, and S alone
AE 10/11
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GATE 2014 AEROSPACE– AE
Q.54 Consider the following four statements regarding aircraft longitudinal stability:
P. CM,cg at zero lift must be positive
Q. ∂CM,cg/∂αa must be negative (αa is absolute angle of attack)
R. CM,cg at zero lift must be negative
S. Slope of CL versus αa must be negative
Which of the following combination is the necessary criterion for stick fixed longitudinal balance
and static stability?
(A) Q and R only (B) Q, R, and S only (C) P and Q only (D) Q and S only
Q.55 Data for a light, single-engine, propeller driven aircraft in steady level flight at sea-level is as
follows: velocity V∞ = 40m/s, weight W = 13000N, lift coefficient CL = 0.65, drag coefficient CD =
)
0.025 + 0.04CL2 and power available Pav = 100,000J/s. The rate of climb possible for this aircraft
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under the given conditions (in m/s) is
(A) 7.20 (B) 5.11 (C) 6.32 (D) 4.23
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END OF THE QUESTION PAPER
E
AT
(G
AE
AE 11/11
Text of page 18
GATE 2014
Answer Keys for AE ‐ Aerospace Engineering
Section Q. No. Key / Range Marks Section Q. No. Key / Range Marks
GA 1 A 1 AE 26 A 2
GA 2 B 1 AE 27 C 2
GA 3 D 1 AE 28 D 2
GA 4 C 1 AE 29 A 2
GA 5 1300 to 1300 1 AE 30 B 2
GA 6 D 2 AE 31 ‐5.01 to ‐4.99 2
GA 7 B 2 AE 32 C 2
GA 8 180 to 180 2 AE 33 1705 to 1720 2
GA 9 D 2 AE 34 B 2
GA 10 B 2 AE 35 C 2
AE 1 C 1 AE 36 C 2
AE 2 B 1 AE 37 0.99 to 1.01 2
AE 3 C 1 AE 38 0.12 to 0.13 2
AE 4 A 1 AE 39 A 2
AE 5 D 1 AE 40 B 2
AE 6 A 1 AE 41 D 2
AE 7 D 1 AE 42 D 2
AE 8 B 1 AE 43 B 2
AE 9 D 1 AE 44 D 2
AE 10 D 1 AE 45 1880 to 1881 2
AE 11 A 1 AE 46 1.10 to 1.25 2
AE 12 B 1 AE 47 74 to 76 2
AE 13 B 1 AE 48 6050 to 6250 2
AE 14 2.95 to 3.05 1 AE 49 D 2
AE 15 C 1 AE 50 C 2
AE 16 D 1 AE 51 D 2
AE 17 B 1 AE 52 18 to 20 2
AE 18 B 1 AE 53 B 2
AE 19 C 1 AE 54 C 2
AE 20 D 1 AE 55 B 2
AE 21 0.45 to 0.55 1
AE 22 D 1
AE 23 D 1
AE 24 B 1
AE 25 1.2 to 1.25 1
Official key not published for this paper.
Page 1 of 18
Source: GATE. Question paper published by GATE.