GATE 2025 Question Paper Aerospace Engineering (AE)

GATE
2025
Question Paper | Answer Key
Graduate Aptitude Test in Engineering
(GATE) is a prestigious national-level exam
that assesses candidates for
comprehensive understanding in various
undergraduate-level subjects in
Engineering, Technology, Science,
Architecture, and Humanities.

General Aptitude
Q.1 – Q.5 Carry ONE mark Each

Q.1 Courage : Bravery :: Yearning : __________

Select the most appropriate option to complete the analogy.

(A) Longing

(B) Yelling

(C) Yawning

(D) Glaring

Q.2 We __________ tennis in the lawn when it suddenly started to rain.

Select the most appropriate option to complete the above sentence.

(A) have been playing

(B) had been playing

(C) would have been playing

(D) could be playing

Page 1 of 34

Q.3 A 4 × 4 digital image has pixel intensities (𝑈) as shown in the figure. The number of
pixels with 𝑈 ≤ 4 is:

(A) 3

(B) 8

(C) 11

(D) 9

Page 2 of 34

Q.4 In the given figure, the numbers associated with the rectangle, triangle, and ellipse
are 1, 2, and 3, respectively. Which one among the given options is the most
appropriate combination of P, Q, and R ?

2

R

4
Q
1 P

3

(A) P = 6; Q = 5; R = 3

(B) P = 5; Q = 6; R = 3

(C) P = 3; Q = 6; R = 6

(D) P = 5; Q = 3; R = 6

Page 3 of 34

Q.5 A rectangle has a length L and a width W, where L > W. If the width, W, is increased
by 10%, which one of the following statements is correct for all values of L and W?

(A) Perimeter increases by 10%.

(B) Length of the diagonals increases by 10%.

(C) Area increases by 10%.

(D) The rectangle becomes a square.

Page 4 of 34

Q.6 – Q.10 Carry TWO marks Each

Q.6 Column-I has statements made by Shanthala; and, Column-II has responses given
by Kanishk.

Column-I Column-II

P. This house is in a mess. 1. Alright, I won’t bring it up during
our conversations.

Q. I am not happy with the marks 2. Well, you can easily look it up.
given to me.

R. Politics is a subject I avoid talking 3. No problem, let me clear it up for
about. you.

S. I don’t know what this word 4. Don’t worry, I will take it up with
means. your teacher.

Identify the option that has the correct match between Column-I and Column-II.

(A) P – 2; Q – 3; R – 1; S – 4

(B) P – 3; Q – 4; R – 1; S – 2

(C) P – 4; Q – 1; R – 2; S – 3

(D) P – 1; Q – 2; R – 4; S – 3

Page 5 of 34

Q.7 Weight of a person can be expressed as a function of their age. The function usually
varies from person to person. Suppose this function is identical for two brothers,
and it monotonically increases till the age of 50 years and then it monotonically
decreases. Let 𝑎1 and 𝑎2 (in years) denote the ages of the brothers and 𝑎1 < 𝑎2 .

Which one of the following statements is correct about their age on the day when
they attain the same weight?

(A) 𝑎1 < 𝑎2 < 50

(B) 𝑎1 < 50 < 𝑎2

(C) 50 < 𝑎1 < 𝑎2

(D) Either 𝑎1 = 50 or 𝑎2 = 50

Page 6 of 34

Q.8 A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r
cm as shown in the figure. The side of the dodecagon is d cm. All the triangles
(numbered 1 to 12) in the figure are used to form squares of side r cm and each
numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to
form each square, respectively, are:

Note: The figure shown is representative.

(A) 3; 4

(B) 4; 3

(C) 3; 3

(D) 3; 2

Page 7 of 34

Q.9 2
𝑥2 𝑥 2𝑥
If a real variable 𝑥 satisfies 3 = 27 × 9 , then the value of 𝑥 2 is:
(2 )

(A) 2−1

(B) 20

(C) 23

(D) 215

Page 8 of 34

Q.10 The number of patients per shift (𝑋) consulting Dr. Gita in her past 100 shifts is
shown in the figure. If the amount she earns is ₹ 1000(𝑋 − 0.2), what is the average
amount (in ₹) she has earned per shift in the past 100 shifts?

Note: The figure shown is representative.

50
40
40
Number of shifts

30
30
20
20
10
10

0
5 6 7 8
Number of patients per shift (X)

(A) 6,100

(B) 6,300

(C) 6,000

(D) 6,500

Page 9 of 34

Q.11 – Q.35 Carry ONE mark Each

Q.11 For any real symmetric matrix 𝐴, the transpose of 𝐴 is ____ .

(A) inverse of 𝐴

(B) null matrix

(C) −𝐴

(D) 𝐴

Q.12 2𝑥 + 3𝑦 + 𝑧 = 0

𝑥+𝑦 =0

𝑦+𝑧=0

The given system of equations has

(A) a unique solution.

(B) infinitely many solutions.

(C) no solution.

(D) a finite number of solutions.

Page 10 of 34

Q.13 1 2
The eigenvalues of the matrix [ ] are _____.
0 3

(A) 0, 2

(B) 2, 3

(C) 1, 3

(D) 1, 2

Q.14 𝜕2 𝑢 𝜕2 𝑢 𝜕2 𝑢
The partial differential equation 2
+4 +2 = 0 is ______.
𝜕𝑥 𝜕𝑥𝜕𝑦 𝜕𝑦 2

(A) elliptic

(B) hyperbolic

(C) parabolic

(D) of mixed type

Page 11 of 34

Q.15 𝐴 + 𝑥 , if 𝑥 < 2
𝑓(𝑥) = {
1 + 𝑥 2 , if 𝑥 ≥ 2

If the function 𝑓(𝑥) is continuous at 𝑥 = 2, the value of 𝐴 is _____.

(A) 2

(B) 2.5

(C) 3

(D) 3.5

Q.16 (𝑖+1)3
If 𝑖 = √−1, = ________.
𝑖−1

(A) 2

(B) −2

(C) (𝑖 + 1)

(D) (𝑖 − 1)

Page 12 of 34

Q.17 For a two-dimensional incompressible flow over a flat plate, the laminar boundary
layer thickness at a distance 𝑥 from the leading edge is 𝛿. If 𝑅𝑒𝑥 is the Reynolds
𝛿
number defined based on length scale x, ( ) is proportional to ______.
𝑥

(A) 𝑅𝑒𝑥 −1/2

(B) 𝑅𝑒𝑥 −1

(C) 𝑅𝑒𝑥 −3/2

(D) 𝑅𝑒𝑥 −2

Q.18 For a NACA 4415 airfoil, the location of maximum camber, as a fraction of the
chord length from the leading edge, is ______.

(A) 0.44

(B) 0.40

(C) 0.15

(D) 0.04

Page 13 of 34

Q.19 A positively cambered airfoil is placed in a uniform flow (velocity, U∞ ) at its
zero-lift angle of attack. M is the corresponding pitching moment. Which one of
the following representations accurately describes this scenario?

(A)

(B)

(C)

(D)

Page 14 of 34

Q.20 Consider a pair of point vortices with clockwise circulation Γ each. The distance
between their centers is 𝑎, as shown in the figure. Assume two-dimensional,
incompressible, inviscid flow. Which one of the following options is correct?

(A) Γ
The vortices translate downwards together with a velocity 2𝜋𝑎 .

(B) Γ
The vortices translate upwards together with a velocity 2𝜋𝑎 .

(C) The vortices rotate clockwise around each other about their centroid O.

(D) The vortices rotate counter-clockwise around each other about their centroid O.

Page 15 of 34

Q.21 In a fluid flow, Mach number is an estimate of _____.

(A)
inertia force
√
viscous force

(B)
inertia force
√
elastic force

(C)
elastic force
√
viscous force

(D)
viscous force
√
inertia force

Q.22 A general aviation airplane is in steady and level flight. The airplane is prone to
adverse yaw. Which one of the following options best describes the deflections of
aileron and rudder to achieve a coordinated right turn?

(A) Left aileron: down; Right aileron: up; Rudder: left

(B) Left aileron: down; Right aileron: up; Rudder: right

(C) Left aileron: up; Right aileron: down; Rudder: left

(D) Left aileron: up; Right aileron: down; Rudder: right

Page 16 of 34

Q.23 For a general aviation airplane, which one of the following has a destabilizing
effect on its static roll stability?

(A) Wing with a positive dihedral angle

(B) Fuselage with a high wing

(C) Fuselage with a low wing

(D) Swept back wing

Q.24 A general aviation airplane is flying at an altitude of 5000 m. The indicated
airspeed is 250 km/h. Assume that there are no instrument errors and position
errors. Neglecting compressibility effects, which one of the following options is
FALSE?

(A) The true airspeed is greater than 250 km/h.

(B) The calibrated airspeed is 250 km/h.

(C) The true airspeed is 250 km/h.

(D) The equivalent airspeed is 250 km/h.

Page 17 of 34

Q.25 To achieve longitudinal static stability of a general aviation airplane, which one of
the following conditions should be satisfied?

(A) The center of gravity of the airplane should be aft of the neutral point.

(B) The center of gravity of the airplane should be forward of the neutral point.

(C) 𝜕𝐶𝑚
The stability coefficient (𝐶𝑚 is the airplane pitching moment coefficient and
𝜕𝛼
𝛼 is the angle of attack) is positive.

(D) The static margin is negative.

Q.26 For a homogeneous, isotropic material, the relation between the shear modulus
(𝐺), Young’s modulus (𝐸), and Poisson’s ratio (𝜈) is ____.

(A) 𝐺 = 2𝐸(1 + 𝜈)

(B) 2𝐺 = 𝐸(1 + 𝜈)

(C) 𝐸 = 2𝐺(1 + 𝜈)

(D) 2𝐸 = 𝐺(1 + 𝜈)

Page 18 of 34

Q.27 A simply supported horizontal beam is subjected to a distributed transverse load
varying linearly from 𝑞0 at A to zero at B, as shown in the figure. Which one of
the following options is correct?

(A) The magnitude of the vertical reaction force at A is larger than that at B.

(B) The magnitude of the vertical reaction force at B is larger than that at A.

(C) The magnitudes of the vertical reaction forces at A and B are equal.

(D) The reactions at points A and B are indeterminate.

Q.28 A stress field is given by 𝜎𝑥𝑥 = 𝜎𝑧𝑧 = 𝐶1 𝑦; 𝜎𝑦𝑦 = 𝐶2 𝑦; 𝜏𝑥𝑦 = 𝜏𝑦𝑧 = 𝜏𝑧𝑥 = 0,
where 𝐶1 and 𝐶2 are non-zero constants. If the stress field satisfies equilibrium,
which one of the following options is correct?

(A) There is no body force per unit volume.

(B) There is a constant body force per unit volume in the y-direction.

(C) The body force per unit volume varies linearly in the y-direction.

(D) The direction of the body force per unit volume depends on the value of 𝐶1 .

Page 19 of 34

Q.29 A uniform symmetric cross-section cantilever beam of length 𝐿 is subjected to a
transverse force 𝑃 at the free end, as shown in the figure. The Young’s modulus of
the material is E and the moment of inertia is I. Ignoring the contributions due to
transverse shear, the strain energy stored in the beam is _____.

(A) 𝑃2 𝐿3
6EI

(B) 𝑃𝐿3
3EI

(C) 𝑃𝐿3
6EI

(D) 𝑃2 𝐿3
3EI

Page 20 of 34

Q.30 In the given figure, plate ABCD in its undeformed configuration (solid line) is a
rhombus with all the internal angles being 90o. The lengths of the undeformed
diagonals are 20 cm. ABCD deforms as shown by the dotted lines. Upon
deformation, diagonal AC reduces to 19.96 cm and BD increases to 20.04 cm. In
the given x-y coordinate system, the engineering shear strain 𝛾𝑥𝑦 is equal to ____.

(A) 0

(B) 0.002

(C) 0.004

(D) -0.004

Page 21 of 34

Q.31 𝛿𝑄 and 𝛿𝑊 are the heat and work interactions of a system with its surroundings,
and 𝑑𝑈 is the change in the internal energy of the system. For an adiabatic process
in a closed, constant pressure combustor, which one of the following options is
correct?

(A) |𝛿𝑄| = |𝑑𝑈| ≠ 0 and |𝛿𝑊| = 0

(B) |𝛿𝑄| = |𝛿𝑊| = 0 and |𝑑𝑈| ≠ 0

(C) |𝛿𝑄| = |𝛿𝑊| = |𝑑𝑈| = 0

(D) |𝛿𝑊| = |𝑑𝑈| ≠ 0 and |𝛿𝑄| = 0

Q.32 An ideal two-stage rocket has identical specific impulse and structural coefficient
for its two stages. For an optimized rocket, the two stages have identical payload
ratio as well. The payload is 2 tons and the initial mass of the rocket is 200 tons.
The mass of the second stage of the rocket (including the final payload mass) is
____ tons.

(A) 100

(B) 10

(C) 20

(D) 50

Page 22 of 34

Q.33 A gaseous fuel mixture comprising 3 moles of methane and 2 moles of ammonia
is combusted in X moles of pure oxygen in stoichiometric amount. Assuming
complete combustion, with only CO2, H2O and N2 in the product gases, the value
of X is ___.

3 CH4 + 2 NH3 + X O2 → Products (CO2, H2O, N2)

(A) 7.5

(B) 5.5

(C) 8.5

(D) 9.5

Q.34 The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m.
The free-stream velocity is 30 m/s, and the density of air is 1.225 kg/m3. The
circulation around the cylinder is ____ m2/s (rounded off to two decimal places).

Q.35 In a centrifugal compressor, the eye tip diameter is 10 cm. For a shaft rotational
speed of 490 rotations per second, the tangential speed at the inducer tip is ___
m/s (rounded off to one decimal place).

Page 23 of 34

Q.36 – Q.65 Carry TWO marks Each

Q.36 A lifting surface has a spanwise circulation distribution of Γ(𝜃) = 𝐴 sin 3𝜃 (where
𝑏 𝑏 𝑏
𝐴 ≠ 0) over its span − 2 ≤ 𝑦 ≤ 2, and 𝑦 = − 2 cos 𝜃 is the spanwise coordinate.
3𝐴 sin 3𝜃
Furthermore, the downwash varies along the span as 𝑤(𝜃) = 𝑉∞ ( sin 𝜃 ), where
𝑉∞ is the freestream velocity. Which one of the following options represents the
total lift (𝐿) and induced drag (𝐷𝑖 )?

(A) 𝐿 = 0 and 𝐷𝑖 = 0

(B) 𝐿 = 0 and 𝐷𝑖 ≠ 0

(C) 𝐿 ≠ 0 and 𝐷𝑖 = 0

(D) 𝐿 ≠ 0 and 𝐷𝑖 ≠ 0

Page 24 of 34

Q.37 A 1 m long rod is to be designed to support an axial tensile load 𝑃 (𝑃 >> weight of
the rod). The material for the rod is to be chosen from one of the four provided in
the table. Using strength-based failure criterion for design, which material results
in the lowest weight of the rod?

Properties Material  Material  Material  Material 

Density (kg/m3) 2700 4500 7800 9000

Young’s modulus (GPa) 70 115 200 130

Yield Strength (MPa) 270 900 520 540

(A) Material 

(B) Material 

(C) Material 

(D) Material 

Page 25 of 34

Q.38 A general aviation airplane is initially in steady and level flight. The stability
𝜕𝐶𝑚
coefficient (𝐶𝑚 is the airplane pitching moment coefficient and 𝑞 is the pitch
𝜕𝑞
rate) is negative. The airplane is perturbed with a small nose-up constant pitch
rate. Assume that the horizontal tail does not stall during the perturbation, and
unsteady effects are neglected. When compared to steady and level flight
condition, which of the following statements is/are true during the perturbed
motion?

(A) The angle of attack of the horizontal tail increases.

(B) The contribution of the horizontal tail to the airplane’s pitching moment about the
center of gravity is more stabilizing.

(C) The lift generated by the horizontal tail increases.

(D) The contribution of the horizontal tail to the airplane’s pitching moment about the
center of gravity is less stabilizing.

Q.39 A general aviation airplane is gliding with a speed 𝑉𝑔 at minimum glide angle.
Which of the following statements is/are true?

(A) 𝑉𝑔 is equal to the speed corresponding to the maximum lift to drag ratio of the
airplane.

(B) 𝑉𝑔 increases with decreasing wing loading when all other parameters remain
constant.

(C) 𝑉𝑔 increases with decreasing altitude when all other parameters remain constant.

(D) 𝑉𝑔 increases with increasing altitude when all other parameters remain constant.

Page 26 of 34

Q.40 The maximum value of the function 𝑓(𝑥) = (𝑥 − 1)(𝑥 − 2)(𝑥 − 3) in the domain
[0, 3] occurs at 𝑥 = ______(rounded off to two decimal places).

Q.41 1−cos(2𝑥)
lim = _____ (answer in integer).
𝑥→0 𝑥2

Q.42 The equation of a closed curve in two-dimensional polar coordinates is given by
2
𝑟= (1 − sin 𝜃) . The area enclosed by the curve is ________ (answer in
√𝜋
integer).

Q.43 1 𝑑𝑦 𝑦
Consider the ordinary differential equation: + = 1. If 𝑦 = 2/3 at 𝑥 = 1,
2 𝑑𝑥 𝑥

then the value of 𝑦 at 𝑥 = 3 is ______ (rounded off to the nearest integer).

Q.44 An approximate solution of the equation 𝑥 3 − 17 = 0 is to be obtained using the
Newton-Raphson method. If the initial guess is 𝑥𝑜 = 2 , the value at the end of the
first iteration is 𝑥1 = _____ (rounded off to two decimal places).

Page 27 of 34

Q.45 𝑖̂ and 𝑗̂ denote unit vectors in the 𝑥 and 𝑦 directions, respectively. The outward
flux of the two-dimensional vector field 𝑣⃗ = 𝑥𝑖̂ + 𝑦𝑗̂ over the unit circle centered
at the origin is ______ (rounded off to two decimal places).

Q.46 An aircraft is flying at an altitude of 4500 m above sea level, where the ambient
pressure, temperature and density are 57 kPa, 259 K and 0.777 kg/m3,
respectively. The speed of the aircraft (𝑉) is 230 m/s. Gas constant R= 287 J/kg/K,
and specific heat ratio 𝛾 = 1.4. If the stagnation pressure is 𝑝𝑜 , and static pressure
𝑝 −𝑝
is 𝑝, the value of [ 1𝑜 2 ] is ________ (rounded off to two decimal places).
𝜌𝑉
2

Q.47 A rectangular wing of 1.2 m chord length and aspect ratio 5 is tested in a wind
tunnel at an air speed of 60 m/s. The density and the dynamic viscosity of air are
1.3 kg/m3 and 1.8×10-5 kg/m-s, respectively. A second rectangular wing of the
same span, but with an aspect ratio of 6, is to be tested in the same tunnel at the
same Reynolds number. The air speed at which the second test should be
performed is _______ m/s (answer in integer).

Q.48 In a low-speed airplane, a venturimeter with 1.3:1 area ratio is used for airspeed
measurement. The airplane’s maximum speed at sea level is 90 m/s. If the density
of air at sea level is 1.225 kg/m3, the maximum pressure difference between the
inlet and the throat of the venturimeter is ________ kPa (rounded off to two
decimal places).

Page 28 of 34

Q.49 A supersonic stream of an ideal gas at Mach number 𝑀1 = 5 is turned by a ramp,
𝑝2
as shown in the figure. The ramp angle is 20o. The pressure ratio is = 7.125
𝑝1
and the specific heat ratio is γ = 1.4. The pressure coefficient on the ramp surface
is _______ (rounded off to two decimal places).

Q.50 A perfect gas flows through a frictionless constant-area duct with heat addition.
The inlet conditions are as follows: pressure 100 kPa, density 1 kg/m3, and
velocity 100 m/s. At a particular downstream location, the gas velocity is 200 m/s.
The static pressure at the downstream location is ______ kPa (answer in integer).

Q.51 The mass flow rate in a supersonic wind tunnel is 2 kg/s when the stagnation
pressure and stagnation temperature are 1 MPa and 800 K, respectively. If the
stagnation pressure and stagnation temperature are changed to 3 MPa and 200 K,
the mass flow rate in the tunnel changes to _______ kg/s (answer in integer).

Page 29 of 34

Q.52 A jet-powered airplane is steadily climbing at a rate of 10 m/s. The air density is
0.8 kg/m3, and the thrust force is aligned with the flight path. Using the
information provided in the table below, the airplane’s thrust to weight ratio is
______ (rounded off to one decimal place).

Airplane speed 80 m/s
Lift coefficient, 𝐶𝐿 0.8
Aspect ratio 6
Oswald efficiency factor 0.8
Zero-lift drag coefficient 0.02

Q.53 F and G denote two points on a spacecraft’s orbit around a planet, as indicated in
the figure. O is the center of the planet, P is the periapsis, and the angles are as
indicated in the figure. If OF = 8000 km, OG = 10000 km, 𝜃𝐹 = 0 deg, and
𝜃𝐺 = 60 deg, the eccentricity of the spacecraft’s orbit is ____ (rounded off to two
decimal places).

Q.54 While taking off, the net external force acting on an airplane during the ground
roll segment can be assumed to be constant. The airplane starts from rest. 𝑆𝐿𝑂 and
𝑉𝐿𝑂 are the ground roll distance and the lift-off speed, respectively. 𝛼𝑉𝐿𝑂 (𝛼 > 0)
denotes the airplane speed at 0.5 𝑆𝐿𝑂 . Neglecting changes in the airplane mass
during the ground roll segment, the value of 𝛼 is _____ (rounded off to two
decimal places).

Page 30 of 34

Q.55 A 1 m long rod of 1 cm × 1 cm cross section is subjected to an axial tensile force
of 35 kN. The Young’s modulus of the material is 70 GPa. The cross-section of
the deformed rod is 0.998 cm × 0.998 cm. The Poisson’s ratio of the material is
________ (rounded off to one decimal place).

Q.56 For a three-bar truss loaded as shown in the figure, the magnitude of the force in
the horizontal member AB is ___N (answer in integer).

Q.57 A uniform rigid bar of mass 3 kg is hinged at point F, and supported by a spring of
stiffness k=100 N/m, as shown in the figure. The natural frequency of free
vibration of the system is ____rad/s (answer in integer).

Page 31 of 34

Q.58 A prismatic vertical column of cross-section 𝑎 × 0.5𝑎 and length 𝑙 is rigidly fixed
at the bottom and free at the top. A compressive force P is applied along the
centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa
and the uniaxial yield stress is 400 MPa. If the critical value of P for yielding and
𝑙
for buckling of the column are equal, the value of ( ) is _____(rounded off to
𝑎
one decimal place).

Q.59 A thin flat plate is subjected to the following stresses:

𝜎𝑥𝑥 = 160 MPa; 𝜎𝑦𝑦 = 40 MPa; 𝜏𝑥𝑦 = 80 MPa.

Factor of safety is defined as the ratio of the yield stress to the applied stress. The
yield stress of the material under uniaxial tensile load is 250 MPa. The factor of
safety for the plate assuming that material failure is governed by the von Mises
criterion is _____ (rounded off to two decimal places).

Page 32 of 34

Q.60 Two designs A and B, shown in the figure, are proposed for a thin-walled closed
section that is expected to carry only torque. Both A and B have a semi-circular
nose, and are made of the same material with a wall thickness of 1 mm. With
strength as the only criterion for failure, the ratio of maximum torque that B can
support to the maximum torque that A can support is__ (rounded off to two
decimal places).

Q.61 An ideal turbofan with a bypass ratio of 5 has core mass flow rate, ṁa,c = 100 kg/s.
The core and the fan exhausts are separate and optimally expanded. The core
exhaust speed is 600 m/s and the fan exhaust speed is 120 m/s. If the fuel mass
flow rate is negligible in comparison to ṁa,c , the static specific thrust (𝑇/ṁa,c )
developed by the engine is ____ Ns/kg (rounded off to the nearest integer).

Q.62 Air at temperature 300 K is compressed isentropically from a pressure of 1 bar to
10 bar in a compressor. Eighty percent of the compressed air is supplied to a
combustor. In the combustor, 0.88 MJ of heat is added per kg of air. The specific
heat at constant pressure is Cp = 1005 J/kg/K and the specific heat ratio is γ = 1.4.
The temperature of the air leaving the combustor is ___ K (rounded off to one
decimal place).

Page 33 of 34

Q.63 A monopropellant liquid rocket engine has 800 injectors of diameter 4 mm each,
and with a discharge coefficient of 0.65. The liquid propellant of density
1000 kg/m3 flows through the injectors. There is a pressure difference of 10 bar
across the injectors. The specific impulse of the rocket is 1500 m/s. The thrust
generated by the rocket is _____ kN (rounded off to one decimal place).

Q.64 An ideal ramjet with an optimally expanded exhaust is travelling at Mach 3. The
ambient temperature and pressure are 260 K and 60 kPa, respectively. The inlet air
mass flow rate is 50 kg/s. Exit temperature of the exhaust gases is 700 K. Fuel
mass flow rate is negligible compared to air mass flow rate. Gas constant is
R= 287 J/kg/K, and specific heat ratio is γ = 1.4. The thrust generated by the
engine is ___ kN (rounded off to one decimal place).

A single-stage axial compressor, with a 50 % degree of reaction, runs at a mean
Q.65
blade speed of 250 m/s. The overall pressure ratio developed is 1.3. Inlet pressure
and temperature are 1 bar and 300 K, respectively. Axial velocity is 200 m/s.
Specific heat at constant pressure, Cp = 1005 J/kg/K and specific heat ratio,
γ = 1.4. The rotor blade angle at the outlet is ___ degrees (rounded off to two
decimal places).

Page 34 of 34

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