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General Aptitude(10)Engineering Mathematics(11)Aerodynamics(14)Flight Mechanics(7)Structures(14)Propulsion(8)Space Dynamics(1)

General Aptitude

10 Questions

GATE→2022→General Aptitude→Verbal Aptitude

Q1

MCQ[1 Mark]

Writing too many things on the ______ while teaching could make the students get ______.

(A)

bored/board

(B)

board/bored

(C)

board/board

(D)

bored/bored

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \le -\frac{6x - 5}{3}$ on the real number line?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

If $f(x) = 2 \ln(\sqrt{e^x})$, what is the area bounded by $f(x)$ for the interval $[0, 2]$ on the x-axis?

(A)

1/2

(B)

1

(C)

2

(D)

4

Explanation

GATE→2022→General Aptitude→Analytical Aptitude

Q4

MCQ[1 Mark]

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?

(A)

The 2nd February of that year is a Tuesday

(B)

There will be five Sundays in the month of February in that year

(C)

The 1st February of that year is a Sunday

(D)

All Mondays of February in that year have even dates

Explanation

GATE→2022→General Aptitude→Spatial Aptitude

Q5

MCQ[1 Mark]

Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2022→General Aptitude→Verbal Aptitude

Q6

MCQ[2 Marks]

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile. Which one of the following is the CORRECT logical inference based on the information in the above passage?

(A)

Having ultra-black skin is only advantageous to species S

(B)

Species S with lower collagen in their skin are at an advantage because it helps them avoid predators

(C)

Having ultra-black skin has both advantages and disadvantages to species S

(D)

Having ultra-black skin is only disadvantageous to species S but advantageous only to their predators

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

For the past $m$ days, the average daily production at a company was 100 units per day. If today's production of 180 units changes the average to 110 units per day, what is the value of $m$?

(A)

18

(B)

10

(C)

7

(D)

5

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Consider the following functions for non-zero positive integers, $p$ and $q$. $f(p,q) = p^q$; $g(p,q) = p^{p^{...^p}}$ ($q$ terms). Which one of the following options is correct?

(A)

$f(2,2) = g(2,2)$

(B)

$f(g(2,2),2) < f(2,g(2,2))$

(C)

$g(2,1) \ne f(2,1)$

(D)

$f(3,2) > g(3,2)$

Explanation

GATE→2022→General Aptitude→Analytical Aptitude

Q9

MCQ[2 Marks]

Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?

(A)

6 hours 30 minutes

(B)

3 hours 45 minutes

(C)

4 hours 30 minutes

(D)

5 hours 15 minutes

Explanation

GATE→2022→General Aptitude→Spatial Aptitude

Q10

MCQ[2 Marks]

Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M (4 circles) and case N (9 circles), are considered. What is the ratio of the areas of unshaded regions of case M to that of case N?

(A)

2:3

(B)

1:1

(C)

3:2

(D)

2:1

Explanation

Engineering Mathematics

11 Questions

GATE→2022→Engineering Mathematics→Calculus

Q11

MCQ[1 Mark]

The equation of the straight line representing the tangent to the curve $y = x^2$ at the point $(1,1)$ is

(A)

$y = 2x - 2$

(B)

$x = 2y - 1$

(C)

$y - 1 = 2(x - 1)$

(D)

$x - 1 = 2(y - 1)$

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q12

MCQ[1 Mark]

Let $\hat{i}, \hat{j}, \hat{k}$ be unit vectors in x, y, z directions. If vector $\hat{i} + \hat{j}$ is rotated about positive $\hat{k}$ by $135^{\circ}$, one gets

(A)

-\hat{i}

(B)

-\hat{i}

(C)

-\frac{1}{\sqrt{2}}\hat{j}

(D)

-\sqrt{2}\hat{i}

Explanation

GATE→2022→Engineering Mathematics→Special Topics (Engineering Mathematics)

Q13

MCQ[1 Mark]

Let $x$ be a real number and $i = \sqrt{-1}$. Then the real part of $\cos(ix)$ is

(A)

sinh x

(B)

cosh x

(C)

cos x

(D)

sin x

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q14

MSQ[1 Mark]

If $\hat{a}$, $\hat{b}$, $\hat{c}$ are three mutually perpendicular unit vectors, then $\hat{a} \cdot (\hat{b} \times \hat{c})$ can take the value(s)

(A)

0

(B)

1

(C)

-1

(D)

infinity

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q15

NAT[1 Mark]

The arc length of the parametric curve: $x = \cos\θ$, $y = \sin\θ$, $z = \θ$ from $\θ = 0$ to $\θ = 2\pi$ is equal to ______ (round off to one decimal place).

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q16

MCQ[2 Marks]

The height of a right circular cone of maximum volume that can be enclosed within a hollow sphere of radius $R$ is

(A)

R

(B)

5/4 R

(C)

4/3 R

(D)

3/2 R

Explanation

GATE→2022→Engineering Mathematics→Differential Equations

Q17

MCQ[2 Marks]

Consider the differential equation $\frac{d^2y}{dx^2} - 2\frac{dy}{dx} + y = 0$. The boundary conditions are $y = 0$ and $\frac{dy}{dx} = 1$ at $x = 0$. Then the value of $y$ at $x = 1/2$ is

(A)

0

(B)

sqrt(e)

(C)

sqrt(e)/2

(D)

sqrt(e/2)

Explanation

GATE→2022→Engineering Mathematics→Differential Equations

Q18

MCQ[2 Marks]

Consider the partial differential equation $\frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} = 0 where x, y are real. If$f(x,y) = a(x)b(y)$, where$a(x)$and$b(y)$ are real functions, which one of the following statements can be true?

(A)

a(x) periodic and b(y) linear

(B)

both exponential

(C)

a(x) periodic and b(y) exponential

(D)

both periodic

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q19

MSQ[2 Marks]

The real function $y = \sin^2(|x|)$ is

(A)

continuous for all x

(B)

differentiable for all x

(C)

not continuous at x = 0

(D)

not differentiable at x = 0

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q20

NAT[2 Marks]

Vector field $\vec{v} = x^3\hat{i} + y^3\hat{j} + z^3\hat{k}$. Using the Gauss divergence theorem, the value of the outward flux of the vector field over the surface of a sphere of unit radius centered at the origin is ______ (round off to one decimal place).

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q21

NAT[2 Marks]

The largest eigenvalue of the given matrix $\begin{bmatrix} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{bmatrix}$ is

Explanation

Aerodynamics

14 Questions

GATE→2022→Aerodynamics→Compressible Flows

Q22

MCQ[1 Mark]

The point of maximum entropy on a Fanno-curve in a Temperature-Entropy (T-s) diagram represents the

(A)

maximum flow Mach number

(B)

minimum flow Mach number

(C)

sonic Mach number

(D)

normal shock in the flow

Explanation

GATE→2022→Aerodynamics→Potential Flow Theory

Q23

MCQ[1 Mark]

Consider a two-dimensional potential flow over a cylinder. If the freestream speed is $U_{\infty}$, the maximum speed on the cylinder surface is

(A)

U_inf / 2

(B)

3 U_inf / 2

(C)

2 U_inf

(D)

4 U_inf / 3

Explanation

GATE→2022→Aerodynamics→Basic Fluid Mechanics

Q24

MCQ[1 Mark]

Consider steady, two-dimensional, incompressible flow over a non-porous flat plate. For control volume PQRS, speed at PQ is $u_{\infty}$ and at RS is $u(y) = A_0(y/h)^n$. The value of $A_0$ for which the flow through PS will vanish is:

(A)

u_inf / (n+1)

(B)

u_inf (n+1)

(C)

u_inf / (n-1)

(D)

u_inf (n-1)

Explanation

GATE→2022→Aerodynamics→Basic Fluid Mechanics

Q25

MCQ[1 Mark]

Consider the velocity distribution $u(y)$ in adjacent fluid layers L1 and L2. For the given profile, the viscous force exerted by L1 on L2 is

(A)

to the right

(B)

to the left

(C)

vertically upwards

(D)

vertically downwards

Explanation

GATE→2022→Aerodynamics→Compressible Flows

Q26

MSQ[1 Mark]

Across an oblique shock wave in a calorifically perfect gas,

(A)

the stagnation enthalpy changes

(B)

the stagnation entropy changes

(C)

the stagnation temperature changes

(D)

the speed of sound changes

Explanation

GATE→2022→Aerodynamics→Airfoils and Wings

Q27

MSQ[1 Mark]

NACA 2412 airfoil has

(A)

4% maximum camber with respect to chord

(B)

maximum camber at 40% chord

(C)

12% maximum thickness to chord ratio

(D)

maximum camber at 20% chord

Explanation

GATE→2022→Aerodynamics→Basic Fluid Mechanics

Q28

MCQ[2 Marks]

A cylindrical object of diameter 900 mm is designed to move axially in air at $60\text{ m/s}$. Its drag is estimated on a geometrically half-scaled model in water, assuming flow similarity. Viscosities and densities given. Drag measured for model is 2280 N. Drag experienced by full-scale object is ______ N.

(A)

322

(B)

644

(C)

1288

(D)

2576

Explanation

GATE→2022→Aerodynamics→Compressible Flows

Q29

MSQ[2 Marks]

A convergent nozzle fed from a constant pressure, constant temperature reservoir is discharging air to atmosphere at 1 bar with choked flow at the exit (Q). If exit area is increased while all reservoir and ambient conditions remain the same, then at steady state

(A)

the nozzle will remain choked

(B)

the nozzle will be un-choked

(C)

the Mach number at section P will increase

(D)

the Mach number at section P will decrease

Explanation

GATE→2022→Aerodynamics→Basic Fluid Mechanics

Q30

NAT[2 Marks]

A rotational velocity field in an air flow is given as $\vec{V} = ay\hat{i} + bx\hat{j}$, with $a = 10\text{ s}^{-1}$, $b = 20\text{ s}^{-1}$. Air density is $1.0\text{ kg/m}^3$ and pressure at $(0,0)$ is $100\text{ kPa}$. Pressure at $(6,8)$ is ______ kPa (rounded off to nearest integer).

Explanation

GATE→2022→Aerodynamics→Airfoils and Wings

Q31

NAT[2 Marks]

Consider a circulation distribution over a finite wing given by $\Gamma(y) = \Gamma_0(1 - 2|y|/b)$ for $|y| \le b/2$. Span $b = 10\text{ m}$, $\Gamma_0 = 20\text{ m}^2/s$, $\rho = 1.2\text{ kg/m}^3$, $U_{\infty} = 80\text{ m/s}$. Lift over the wing is ______ N.

Explanation

GATE→2022→Aerodynamics→Basic Fluid Mechanics

Q32

NAT[2 Marks]

Consider a solid cylinder housed inside another cylinder. Radius of inner cylinder is $1\text{ m}$ and height $2\text{ m}$. Gap is $5\text{ mm}$, viscosity $10^{-4}\text{ Pa-s}$, angular speed $5\text{ rad/s}$. Driving moment is ______ Nm (round off to two decimal places).

Explanation

GATE→2022→Aerodynamics→Compressible Flows

Q33

NAT[2 Marks]

In a converging duct, area and velocity at section P are $1\text{ m}^2$ and $15\text{ m/s}$. Temperature $300\text{ K}$, isothermal flow. Minimum area required at section Q for $M \le 0.3$ is ______ $m^2$ (round off to two decimal places).

Explanation

GATE→2022→Aerodynamics→Airfoils and Wings

Q34

NAT[2 Marks]

Consider a thin symmetric airfoil at 2 degree angle of attack in a uniform flow at $50\text{ m/s}$. The pitching moment coefficient about its leading edge is ______ (round off to three decimal places).

Explanation

GATE→2022→Aerodynamics→Compressible Flows

Q35

NAT[2 Marks]

A convergent-divergent nozzle designed for exit Mach number 2.3 discharges air to atmosphere ($1\text{ bar}$). Reservoir pressure $25\text{ bar}$. Minimum percentage change in reservoir pressure required to eliminate expansion waves at exit is ______ %.

Explanation

Flight Mechanics

7 Questions

GATE→2022→Flight Mechanics→Airplane Performance

Q36

MCQ[1 Mark]

The service ceiling of an airplane is the altitude

(A)

at which maximum rate of climb is 100 m/min

(B)

beyond which theoretically the airplane cannot sustain level flight

(C)

at which maximum power is required for flight

(D)

at which maximum rate of climb is 100 ft/min

Explanation

GATE→2022→Flight Mechanics→Static Stability

Q37

MCQ[1 Mark]

Regarding the horizontal tail of a conventional airplane, which one of the following statements is true?

(A)

It contributes to C_m_alpha < 0

(B)

It makes C_m_alpha = 0

(C)

It contributes to C_m_alpha > 0

(D)

It makes C_m0 > 0 and C_m_alpha > 0

Explanation

GATE→2022→Flight Mechanics→Atmosphere and Basics

Q38

MSQ[1 Mark]

For International Standard Atmosphere (ISA) up to 11 km, which of the following statement(s) is/are true?

(A)

The hydrostatic/aerostatic equation is used

(B)

The temperature lapse rate is taken as -10^-2 K/m

(C)

The sea level conditions are taken as: pressure 1.01325 x 10^5 Pa; temperature 300 K; density 1.225 kg/m^3

(D)

Air is treated as a perfect gas

Explanation

GATE→2022→Flight Mechanics→Airplane Performance

Q39

NAT[1 Mark]

An unpowered glider is flying at a glide angle of 10 degrees. Its lift-to-drag ratio is ______ (round off to two decimal places).

Explanation

GATE→2022→Flight Mechanics→Airplane Performance

Q40

MCQ[2 Marks]

Consider a conventional subsonic fixed-wing airplane. $e$ is the Oswald efficiency factor and $AR$ is the aspect ratio. Corresponding to the minimum $\frac{C_D}{C_L^{3/2}}$, which of the following relations is true?

(A)

C_D / C_L^2 = 1 / (pi e AR)

(B)

C_D / C_L^2 = 4 / (3 pi e AR)

(C)

C_D / C_L = 1 / (pi e AR)

(D)

C_D / sqrt(C_L) = 1 / sqrt(pi e AR)

Explanation

GATE→2022→Flight Mechanics→Atmosphere and Basics

Q41

MSQ[2 Marks]

For a conventional airplane in straight, level, constant velocity flight condition, which of the following condition(s) is/are possible on Euler angles ($\φ, \θ, \psi$), angle of attack ($\α$) and sideslip angle ($\β$)?

(A)

φ=0, θ=2, psi=0, α=2, β=0

(B)

φ=5, θ=0, psi=0, α=2, β=0

(C)

φ=0, θ=3, psi=0, α=3, β=5

(D)

φ=0, θ=5, psi=0, α=2, β=5

Explanation

GATE→2022→Flight Mechanics→Airplane Performance

Q42

NAT[2 Marks]

A conventional airplane of mass $5000\text{ kg}$ is doing a level turn of radius $1000\text{ m}$ at a constant speed of $100\text{ m/s}$ at sea level ($g = 10\text{ m/s}^2$). The bank angle of the airplane is ______ degrees.

Explanation

Structures

14 Questions

GATE→2022→Structures→Strength of Materials

Q43

MCQ[1 Mark]

A beam with a symmetrical T-shaped cross-section is subjected to pure bending. The maximum magnitude of the normal stress is realised:

(A)

only at the top fibres of the cross-section

(B)

only at the bottom fibres of the cross-section

(C)

both at the top and bottom fibres of the cross-section

(D)

only at the centroidal fibres of the cross-section

Explanation

GATE→2022→Structures→Strength of Materials

Q44

MCQ[1 Mark]

A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force F as shown. The force in QR is

(A)

0

(B)

F (tensile)

(C)

F / sqrt(2) (compressive)

(D)

sqrt(2) F (tensile)

Explanation

GATE→2022→Structures→Flight Vehicle Structures

Q45

MCQ[1 Mark]

The closed thin-walled rectangular channel shown in figure (i) is opened by introducing a sharp cut at the center of the bottom edge, as shown in figure (ii). Which one of the following statements is correct?

(A)

Centroids of (i) and (ii) coincide while shear centers do not

(B)

Shear centers of (i) and (ii) coincide while centroids do not

(C)

Both centroids and shear centers of (i) and (ii) coincide

(D)

Neither centroids nor shear centers of (i) and (ii) coincide

Explanation

GATE→2022→Structures→Strength of Materials

Q46

MSQ[1 Mark]

Let $\sigma$ and $\tau$ represent normal stress and shear stress on a plane, respectively. The Mohr circle(s) that may possibly represent the state of stress at points in a beam of rectangular cross-section under pure bending is/are:

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2022→Structures→Strength of Materials

Q47

MSQ[1 Mark]

An isotropic linear elastic material point under plane strain condition in the x-y plane always obeys:

(A)

out-of-plane normal strain, epsilon_zz = 0

(B)

out-of-plane normal stress, sigma_zz = 0

(C)

out-of-plane shear stress, tau_xz = 0

(D)

out-of-plane shear strain, gamma_xz = 0

Explanation

GATE→2022→Structures→Strength of Materials

Q48

NAT[1 Mark]

The two-dimensional plane-stress state at a point is: $\sigma_{xx} = 110$ MPa; $\sigma_{yy} = 30$ MPa; $\tau_{xy} = 40$ MPa. The normal stress, $\sigma_n$, on a plane inclined $45^{\circ}$ is ______ (round off to the nearest integer).

Explanation

GATE→2022→Structures→Strength of Materials

Q49

MCQ[2 Marks]

A horizontal load $F$ is applied at point R on a two-member truss, as shown in the figure. Both members are prismatic with cross-sectional area $A_0$ and Young's modulus $E$. The horizontal displacement of point R is:

(A)

0

(B)

Fl / (EA_0)

(C)

sqrt(2) Fl / (EA_0)

(D)

2 Fl / (EA_0)

Explanation

GATE→2022→Structures→Strength of Materials

Q50

NAT[2 Marks]

A cantilever PQ of rectangular cross-section is subjected to transverse load $F$ at its mid-point. Case I: Q is free. Case II: Q is simply supported. The ratio of the magnitude of maximum bending stress at P in Case I to that in Case II is ______ (round off to one decimal place).

Explanation

GATE→2022→Structures→Strength of Materials

Q51

NAT[2 Marks]

A simply supported Aluminium column of length $1\text{ m}$ and rectangular cross-section $w \times t$ with $t \le w$, is subjected to axial compressive loading. Young's modulus is $70\text{ GPa}$, yield stress $120\text{ MPa}$. The value of $t$ at which failure load for yielding and buckling coincide is ______ mm.

Explanation

GATE→2022→Structures→Strength of Materials

Q52

NAT[2 Marks]

A $0.5\text{-m}$ long thin-walled circular shaft of radius $2\text{ cm}$ is designed for axial load $7.4\text{ kN}$ and torque $148\text{ Nm}$. Allowable stress under uniaxial tension is $100\text{ MPa}$. Using maximum principal stress criterion, minimum thickness $t$ is ______ mm (round off to nearest integer).

Explanation

GATE→2022→Structures→Strength of Materials

Q53

NAT[2 Marks]

A $10\text{ kN}$ axial load is applied eccentrically on a rod of square cross-section ($1\text{ cm} \times 1\text{ cm}$). Strains measured by two strain gages are $\epsilon_1 = 0.0016$ and $\epsilon_2 = 0.0004$. The eccentricity in loading, $e$, is ______ mm.

Explanation

GATE→2022→Structures→Strength of Materials

Q54

NAT[2 Marks]

For a thin-walled I section, flange width and web height are $2b = 20\text{ mm}$, thickness $0.6\text{ mm}$. Second moment of area about horizontal centroidal axis is ______ $\text{mm}^4$.

Explanation

GATE→2022→Structures→Structural Dynamics

Q55

NAT[2 Marks]

A damper with damping coefficient $c$ is attached to mass $5\text{ kg}$ and spring stiffness $5\text{ kN/m}$. Ratio of 3rd to 4th amplitude is $1.5$. Value of $c$ is ______ Ns/m (round off to nearest integer).

Explanation

GATE→2022→Structures→Structural Dynamics

Q56

NAT[2 Marks]

A uniform rigid prismatic bar of total mass $m$ is suspended from a ceiling by two identical springs. Let $\omega_1$ and $\omega_2$ be natural frequencies of mode I and II. The ratio $\omega_2 / \omega_1$ is ______ (round off to one decimal place).

Explanation

Propulsion

8 Questions

GATE→2022→Propulsion→Rockets

Q57

MCQ[1 Mark]

The region of highest static temperature in a rocket engine and the region of highest heat flux are respectively.

(A)

nozzle throat and nozzle entry

(B)

combustion chamber and nozzle throat

(C)

nozzle exit and nozzle throat

(D)

nozzle throat and combustion chamber

Explanation

GATE→2022→Propulsion→Turbomachinery

Q58

MSQ[1 Mark]

A high-pressure-ratio multistage axial compressor encounters an extreme loading mismatch during starting. Which of the following technique(s) can be used to alleviate this problem?

(A)

Blade cooling

(B)

Variable angle stator vanes

(C)

Blow-off valves

(D)

Multi-spool shaft

Explanation

GATE→2022→Propulsion→Engine Performance

Q59

NAT[1 Mark]

In a static test, a turbofan engine with bypass ratio of 9 has core hot exhaust speed 1.5 times that of fan exhaust speed. The engine is operated at a fuel to air ratio of $f = 0.03$. Both the fan and the core streams have no pressure thrust. The ratio of fan thrust to thrust from the core engine is ______ (round off to one decimal place).

Explanation

GATE→2022→Propulsion→Turbomachinery

Q60

NAT[1 Mark]

In a single stage turbine, the hot gases come out of stator/nozzle at a speed of $500\text{ m/s}$ and at an angle of $70^{\circ}$ with the turbine axis. The design speed of the rotor blade is $250\text{ m/s}$ at the mean blade radius. The rotor blade angle, $\β$, at the leading edge is ______ degrees (round off to one decimal place).

Explanation

GATE→2022→Propulsion→Basics

Q61

MCQ[2 Marks]

Which of the following is NOT always true for a combustion process taking place in a closed system?

(A)

Total number of atoms is conserved

(B)

Total number of molecules is conserved

(C)

Total number of atoms of each element is conserved

(D)

Total mass is conserved

Explanation

GATE→2022→Propulsion→Rockets

Q62

MSQ[2 Marks]

A rocket operates at absolute chamber pressure of 20 bar to produce thrust $F_1$, optimally expanded with $C_{F,1} = 1.42$. Same rocket at 50 bar produces $F_2$ and $C_{F,2}$. Which statement(s) is/are correct?

(A)

F2 / F1 = 2.5

(B)

F2 / F1 > 2.5

(C)

C_F2 / C_F1 = 1

(D)

C_F2 / C_F1 > 1

Explanation

GATE→2022→Propulsion→Engine Performance

Q63

NAT[2 Marks]

An ideal ramjet operates with exhaust gases optimally expanded to ambient pressure at altitude where temperature is $220\text{ K}$. Exhaust speed is $1200\text{ m/s}$ at $1100\text{ K}$. Cruise speed of ramjet is ______ m/s.

Explanation

GATE→2022→Propulsion→Turbomachinery

Q64

NAT[2 Marks]

A multistage axial compressor takes air at $1\text{ atm}$, $300\text{ K}$ and compresses to $5\text{ atm}$. Mean blade speed $245\text{ m/s}$, work coefficient $0.55$. If isentropic, number of stages required is ______ (round off to next higher integer).

Explanation

Space Dynamics

1 Question

GATE→2022→Space Dynamics→Central Force Motion and Orbits

Q65

MSQ[2 Marks]

Consider a high Earth-orbiting satellite of angular momentum per unit mass $\vec{h}$ and eccentricity $e$. Which of the following statements is/are true?

(A)

Trajectory equation is r = |h| / (GM(1 + e cos θ))

(B)

Trajectory equation is r = |h|^2 / (GM(1 + e cos θ))

(C)

h is conserved

(D)

Sum of potential and kinetic energy is conserved

Explanation