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General Aptitude(10)Engineering Mathematics(9)Applied Mechanics and Structures(9)Fluid Mechanics and Marine Hydrodynamics(10)Naval Architecture and Ocean Engineering(17)Thermodynamics and Marine Engineering(10)

General Aptitude

10 Questions

GATE→2022→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

Mr. X speaks ______ Japanese ______ Chinese.

(A)

neither/or

(B)

either/nor

(C)

neither / nor

(D)

also / but

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively.\nIf R gets 1000 more than S, what is the share of Q?

(A)

500

(B)

1000

(C)

1500

(D)

2000

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, $PQ = 11$ cm, $QR = 4$ cm, $RS = 6$ cm and $SP = 3$ cm.\nWhat is the shortest distance between PQ and SR (in cm)?

(A)

1.80

(B)

2.40

(C)

4.20

(D)

5.76

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.\nWhat is the maximum number of squares without a "hole in the interior" that can be formed within the $4\times4$ grid using the unit squares as building blocks?

(A)

15

(B)

20

(C)

21

(D)

26

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.\nIf the security guard does not move around the posted location and has a $360^{\circ}$ view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

(A)

P and Q

(B)

Q

(C)

Q and S

(D)

R and S

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.\nWhich one of the following is the correct logical inference based on the information in the above passage?

(A)

Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous

(B)

Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects

(C)

Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous

(D)

Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Consider the following inequalities: (i) $2x - 1 > 7$ (ii) $2x - 9 < 1$\nWhich one of the following expressions below satisfies the above two inequalities?

(A)

$x \le -4$

(B)

$-4 < x \le 4$

(C)

$4 < x < 5$

(D)

$x \ge 5$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Four points $P(0,1)$, $Q(0,-3)$, $R(-2,-1)$, and $S(2,-1)$ represent the vertices of a quadrilateral.\nWhat is the area enclosed by the quadrilateral?

(A)

4

(B)

$4\sqrt{2}$

(C)

8

(D)

$8\sqrt{2}$

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q9

MCQ[2 Marks]

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.\nStatement of P: R has copied in the exam.\nStatement of Q: S has copied in the exam.\nStatement of R: P did not copy in the exam.\nStatement of S: Only one of us is telling the truth.\nStatement of T: R is telling the truth.\nThe investigating team had authentic information that S never lies.\nBased on the information given above, the person who has copied in the exam is

(A)

R

(B)

P

(C)

Q

(D)

T

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.\nLet X, Y and Z represent the following operations:\nX: rotation of the square by 180 degree with respect to the S-Q axis.\nY: rotation of the square by 180 degree with respect to the P-R axis.\nZ: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.\nConsider the following three distinct sequences of operation (which are applied in the left to right order). (1) XYZZ (2) XY (3) ZZZZ\nWhich one of the following statements is correct as per the information provided above?

(A)

The sequence of operations (1) and (2) are equivalent

(B)

The sequence of operations (1) and (3) are equivalent

(C)

The sequence of operations (2) and (3) are equivalent

(D)

The sequence of operations (1), (2) and (3) are equivalent

Explanation

Engineering Mathematics

9 Questions

GATE→2022→Engineering Mathematics→Linear Algebra & Calculus

Q11

MCQ[1 Mark]

Let A be a real non-zero square matrix of order n. If the homogeneous system of linear equations $Ax=0$ has only trivial solution, then

(A)

matrix A is singular

(B)

determinant of A is zero

(C)

$\lambda=0$ is an eigenvalue of A

(D)

for any n-vector b, the system of linear equations $Ax=b$ has a unique solution

Explanation

GATE→2022→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q12

MCQ[1 Mark]

Let $z = x+iy$, where x and y are real numbers. Consider the complex functions: $f(z) = (x^{2}-y^{2})+i~2xy$\nand $g(z) = 2xy+i(x^{2}-y^{2})$.\nThen on the complex plane,

(A)

$f(z)$ is analytic and $g(z)$ is not analytic

(B)

both $f(z)$ and $g(z)$ are analytic

(C)

both $f(z)$ and $g(z)$ are not analytic

(D)

$f(z)$ is not analytic and $g(z)$ is analytic

Explanation

GATE→2022→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q13

MCQ[1 Mark]

If a population has exponential distribution with mean 1, then its median is

(A)

e

(B)

1

(C)

$\log_{e}2$

(D)

$\log_{e}3$

Explanation

GATE→2022→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q14

MSQ[1 Mark]

If $\frac{a_{0}}{2}+\sum_{n=1}^{\infty}a_{n}\cos nx$ is the Fourier cosine series of the function $f(x)=\sin x$, $0<x<\pi$, then which of the following are TRUE?

(A)

$a_{0}+a_{1}=4/\pi$

(B)

$a_{0}=4/\pi$

(C)

$a_{0}+a_{1}=2/\pi$

(D)

$a_{1}=2/\pi$

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra & Calculus

Q15

NAT[1 Mark]

Let $f(x,y,z)=xy+yz+xz$. If a point $(0, 0, \alpha)$ lies on the tangent plane to the surface $f(x,y,z)=3$ at the point $(1, 1, 1)$, then the value of $\alpha$ is

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra & Calculus

Q16

MCQ[2 Marks]

The value of the line integral $\oint_{c}-3y\,dx+3x\,dy+z\,dz$\nalong the circle C: $x^{2}+y^{2}=1$, $z=1$ oriented in the clockwise sense as seen from the origin, is

(A)

$2\pi$

(B)

$4\pi$

(C)

$6\pi$

(D)

$8\pi$

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra & Calculus

Q17

MSQ[2 Marks]

Let $M = \begin{pmatrix} 2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2 \end{pmatrix}$.\nWhich of the following are TRUE?

(A)

M is singular

(B)

$M^{-1}=\frac{1}{4}M^{2}-\frac{3}{2}M+\frac{9}{4}I$ where I is the identity matrix of order 3

(C)

M has three distinct eigenvalues

(D)

M has three linearly independent eigenvectors

Explanation

GATE→2022→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q18

NAT[2 Marks]

Let $y(x)$ be the solution of the differential equation $y^{\prime\prime}-4y^{\prime}-12y=3e^{5x}$\nsatisfying $y(0)=\frac{18}{7}$ and $y^{\prime}(0)=-\frac{1}{7}$.\nThen $y(1)$ is (rounded off to nearest integer).

Explanation

GATE→2022→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q19

NAT[2 Marks]

We have two coins. One is biased with the probability for head being 1.0 and the other is a fair coin. One coin is chosen at random and is tossed twice. If we obtain head both times, then the probability of the chosen coin being a fair coin is (correct to one decimal place).

Explanation

Applied Mechanics and Structures

9 Questions

GATE→2022→Applied Mechanics and Structures→Vibrations & Machine Design

Q20

MCQ[1 Mark]

Let $\omega_{f}$ be the excitation frequency of a sinusoidal load and $\omega_{n}$ be the natural frequency of a single degree of freedom system. Then the dynamic response of the system is highly affected by the stiffness of the system when

(A)

$\omega_{f}=\omega_{n}$

(B)

$0<\omega_{f}<\omega_{n}$

(C)

$0<\omega_{n}<\omega_{f}$

(D)

$\omega_{f}=0$

Explanation

GATE→2022→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q21

MSQ[1 Mark]

A simply supported beam is loaded with a uniformly distributed load (UDL) acting vertically downwards. Which of the following statements are TRUE with regard to strain energy?

(A)

It increases with increase in UDL

(B)

It increases with increase in cross-sectional area of the beam

(C)

It is independent of the length of the beam

(D)

It is dependent on Young's modulus of elasticity

Explanation

GATE→2022→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q22

NAT[1 Mark]

The beam fixed at end A and simply supported at C with a roller is shown in the figure. If B is an internal hinge and a concentrated load of 10 kN is acting at D and a uniformly distributed load (UDL) of $10\text{ kN/m}$ is acting on member AB, then the magnitude of bending moment at the fixed end A is kNm.

Explanation

GATE→2022→Applied Mechanics and Structures→Vibrations & Machine Design

Q23

NAT[1 Mark]

If the maximum static deflection of a shaft is 5 mm, then the estimated critical speed using Rayleigh-Ritz method is RPM (rounded off to nearest integer).

Explanation

GATE→2022→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q24

MCQ[2 Marks]

A column of height 20 m is fixed at both ends. If Young's modulus of elasticity is $17 \times 10^9\text{ N/m}^2$ and moment of inertia is $3.255 \times 10^{-4}\text{ m}^4$, then the first critical load of buckling of the column lies between kN.

(A)

501 and 520

(B)

521 and 540

(C)

541 and 560

(D)

561 and 580

Explanation

GATE→2022→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q25

MSQ[2 Marks]

Which of the following statements are TRUE about the assumptions adopted in Euler's column theory?

(A)

Length of the column is very large in comparison to its cross-sectional dimensions

(B)

Effect of the axial compressive stress is smaller than the effect of bending stress on column buckling

(C)

Column fails only by transverse loads

(D)

Column fails only by buckling

Explanation

GATE→2022→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q26

NAT[2 Marks]

An element, as shown in the figure, is subjected to stresses $\sigma_{x}=500\text{ N/m}^{2}$, $\sigma_{y}=300\text{ N/m}^{2}$ and $\tau=120\text{ N/m}^{2}$.\nIf $\sigma_{1}$ and $\sigma_{2}$ are the principal stresses, then the absolute value of the angle $\phi$ is degree (rounded off to one decimal place).

Explanation

GATE→2022→Applied Mechanics and Structures→Vibrations & Machine Design

Q27

NAT[2 Marks]

An under-damped single degree of freedom system is freely oscillating with an initial amplitude A. The initial velocity of the system is zero. After five cycles of oscillation, the amplitude reduces to $A/2$.\nThen the damping ratio of the system is % (rounded off to one decimal place) of critical damping.

Explanation

GATE→2022→Applied Mechanics and Structures→Vibrations & Machine Design

Q28

NAT[2 Marks]

A system with two degrees of freedom, as shown in the figure, has masses $m_{1}=200\text{ kg}$ and $m_{2}=100\text{ kg}$ and stiffness coefficients $k_{1}=k_{2}=200\text{ N}/\text{m}$.\nThen the lowest natural frequency of the system is rad/s (rounded off to one decimal place).

Explanation

Fluid Mechanics and Marine Hydrodynamics

10 Questions

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q29

MCQ[1 Mark]

A truck loaded with a half-filled water tank is moving at a constant horizontal acceleration a. The acceleration due to gravity is g. At steady state, the angle $\theta$ made by the free surface with the horizontal plane is

(A)

$\sin^{-1}(a/g)$

(B)

$\tan^{-1}(g/a)$

(C)

$\tan^{-1}(a/g)$

(D)

$\sin^{-1}(g/a)$

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q30

MCQ[1 Mark]

Which one of the following combinations of elementary flows will lead to an ideal flow past a deeply submerged circular cylinder with circulation?

(A)

Source, sink and uniform flow

(B)

Doublet, uniform flow and vortex

(C)

Doublet and vortex

(D)

Source and uniform flow

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q31

MSQ[1 Mark]

Which of the following flows are represented by the velocity field, $\vec{V}=(x^{2}-y^{2})\hat{i}-2xy\hat{j}$?

(A)

Incompressible flow

(B)

Compressible flow

(C)

Irrotational flow

(D)

Rotational flow

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q32

NAT[1 Mark]

The laminar and turbulent boundary layer thickness of a flat plate are given by $\frac{0.37x}{Re_{x}^{1/5}}$ and $\frac{3x}{Re_{x}^{1/2}}$ (or similar standard correlations), where x is the distance from the leading edge and $Re_{x}$ is the Reynolds number at x-location.\nThe kinematic viscosity of the fluid is $10^{-6}\text{ m}^2/\text{s}$. A 100 m long plate is moving at a speed of $10\text{ m}/\text{s}$. The boundary layer thickness at the rear end of the plate is m (rounded off to two decimal places).

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q33

MCQ[2 Marks]

In a potential flow field, if the stream function $\psi=xy^{2}$, then the velocity potential is

(A)

$\frac{x^{2}-y^{2}}{2}$

(B)

$\frac{x^{2}+y^{2}}{2}$

(C)

$y\left(x^{2}+\frac{y^{2}}{3}\right)$

(D)

$y\left(x^{2}-\frac{y^{2}}{3}\right)$

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q34

MSQ[2 Marks]

Which of the following statements are TRUE for a fluid flow over a deeply submerged body?

(A)

D'Alembert's paradox states that a deeply submerged body in a real fluid flow experiences no drag force

(B)

D'Alembert's paradox states that a deeply submerged body in an ideal fluid flow experiences no drag force

(C)

The wall shear stress at the point of flow separation on the body is zero

(D)

Dimples/dentures on a body surface facilitate earlier transition to turbulent flow which delays the boundary layer separation

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q35

NAT[2 Marks]

A horizontal cylinder of 1.0 m diameter is placed transversely at the aft of a ship and is completely immersed in water. The cylinder rotates at 100 RPM and inflow velocity is $10\text{ m/s}$. Water density is $1000\text{ kg/m}^3$. Assuming an ideal planar flow, the lift force/unit length acting on the cylinder is kN/m (rounded off to one decimal place).

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q36

NAT[2 Marks]

Consider a steady flow through a horizontal nozzle. The nozzle inlet area is $1\text{ m}^{2}$ and the outlet area is $0.05\text{ m}^{2}$. At the outlet, the flow discharges to atmosphere. Assuming the flow to be incompressible and frictionless, and the density of the fluid as $1\text{ kg/m}^{3}$, the gauge pressure required at the nozzle inlet to produce an outlet speed of $100\text{ m/s}$ is $N/m^{2}$ (rounded off to nearest integer).

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q37

NAT[2 Marks]

Consider a point source in a uniform flow of velocity $U=4\text{ m}/\text{s}$ along the positive x-axis as shown in the figure. Assume a two-dimensional steady potential flow. The potential due to the point source is given by $\log_{e}(r)$, where $r^{2}=x^{2}+y^{2}$.\nThen the magnitude of the distance d between the point source and the stagnation point is m (rounded off to two decimal places).

Explanation

GATE→2022→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q38

NAT[2 Marks]

Consider a steady incompressible laminar flow between two parallel long plates separated by a distance $h=1\text{ m}$ as shown in the figure. The bottom plate is fixed, and the flow is driven by the motion of the upper plate alone. No externally imposed pressure exists.\nIf the upper plate has a velocity of $U=10\text{ m}/\text{s}$, the kinematic viscosity of the fluid is $10^{-6}\text{ m}^2/\text{s}$ and the density of the fluid is $10^{3}\text{ kg}/\text{m}^{3}$, then the shear stress at the bottom plate is $N/m^{2}$ (correct to two decimal places).

Explanation

Naval Architecture and Ocean Engineering

17 Questions

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q39

MCQ[1 Mark]

A 10000 tonne displacement container ship's main propulsion engine has a brake power equal to 46 MW and its service speed is 25 knots. Considering the engine brake power as double the effective power of the ship, then the ship resistance at the service speed lies in between kN.

(A)

3285 and 3315

(B)

6785 and 6815

(C)

885 and 915

(D)

1785 and 1815

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q40

MCQ[1 Mark]

The margin line used for the floodable length calculation of a ship is

(A)

76 mm above the ship's baseline

(B)

76 mm inside the zero-buttock line in the profile view of the ship's lines plan

(C)

a line drawn 76 mm parallel to and below the watertight main deck at side

(D)

a line drawn 76 mm parallel to and below the watertight main deck along the ship's centerline if the ship has camber

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q41

MCQ[1 Mark]

Consider a rectangular box barge of length 80 m, breadth 20 m and depth 15 m floating at an even draught of 10 m. Assume that the heave added mass of the vessel is equal to its mass displacement and the acceleration due to gravity is $9.81\text{ m/s}^2$.\nThe heave natural period of the vessel lies in between s.

(A)

1 and 5

(B)

6 and 10

(C)

11 and 15

(D)

16 and 20

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q42

MCQ[1 Mark]

A 1:20 scaled model of a surface ship is tested in a towing tank. The model is towed at $3\text{ m/s}$ and drag force measured is 10 N.\nThe velocity of the prototype and the drag force acting on the prototype, respectively, are m/s and kN.

(A)

60.4 and 80

(B)

13.4 and 80

(C)

13.4 and 4

(D)

60.4 and 4

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q43

MSQ[1 Mark]

If a ship enters shallow water from deep water, maintaining the same speed, then which of the following are TRUE?

(A)

Resistance increases

(B)

Trim changes

(C)

Resistance decreases

(D)

Draught increases

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q44

MSQ[1 Mark]

For a rigid vessel at sea, which of the following statements are TRUE?

(A)

Static and dynamic environmental loads are dependent on the structural strength of the vessel

(B)

Static and dynamic environmental loads are NOT dependent on the structural strength of the vessel

(C)

Static and dynamic environmental loads are dependent on the geometry of the vessel

(D)

Static and dynamic environmental loads are NOT dependent on the geometry of the vessel

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q45

NAT[1 Mark]

The diameter and rotating speed of a cargo ship propeller are 7.5 m and 120 RPM, respectively. An open water test is to be performed in a towing tank with a propeller model of 300 mm diameter. The corresponding propeller model speed is RPM.

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q46

NAT[1 Mark]

Assume that a ship has length $L=200\text{ m}$ and operates at a design speed $U=12\text{ m}/\text{s}$. If in a turning circle maneuver, the ship exhibits a steady turning diameter of 6L, then the yaw rate of the ship is rad/s (correct to two decimal places).

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q47

MCQ[2 Marks]

For a container ship, the propeller open water efficiency, thrust deduction fraction and wake fraction are 0.60, 0.19 and 0.25, respectively. If the relative rotative efficiency of the propeller is 1.0, then the hull efficiency and quasi-propulsive efficiency of the propeller, respectively, are

(A)

1.080 and 0.648

(B)

0.608 and 0.556

(C)

0.926 and 0.648

(D)

0.926 and 0.556

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q48

MCQ[2 Marks]

Consider the wave elevation spectrum $S_{\eta\eta}(\omega)$ as shown in the figure. Then, the significant wave height is m.

(A)

2

(B)

4

(C)

6

(D)

8

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q49

MSQ[2 Marks]

An autonomous underwater vehicle is made of a long cylinder with a semi-ellipsoid at the forward end and a hemisphere at the aft end as shown in the figure. The origin of the reference frame is located at the centroid of the cylinder.\nThe positive x, y and z axes, respectively, are pointing towards forward, port and upward directions. The surge, sway and heave motions are represented by indices 1-2-3 and roll, pitch and yaw motions are represented by indices 4-5-6, respectively.\nIf $A=[A_{ij}]$ is the added mass matrix, then which of the following are NOT zero?

(A)

$A_{15}$

(B)

$A_{35}$

(C)

$A_{46}$

(D)

$A_{26}$

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q50

MSQ[2 Marks]

If a ship hull is subdivided into different watertight compartments, which of the following statements are TRUE?

(A)

It improves the ship stability in damaged conditions

(B)

It increases the ship hull strength

(C)

It reduces the ship intact stability

(D)

It provides more options to carry different types of cargo

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q51

MSQ[2 Marks]

Consider the midship section of a vessel with the centerline (CL) and neutral axis (NA) as shown in the figure. Assume that the cross-section is symmetric about the centerline, the plate thickness is uniform throughout the section and $h_{1}<h_{2}$.\nWhen the vessel is subjected to a vertical bending moment in its upright condition, which of the following statements are TRUE?

(A)

Magnitude of shear stress is maximum at points P and S

(B)

Magnitude of shear stress is minimum at points Q and U

(C)

Magnitude of bending stress is maximum at points S and T

(D)

Magnitude of bending stress is minimum at points Q and U

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q52

NAT[2 Marks]

A rectangular barge has length (L) of 100 m, breadth (B) of 18 m and depth (D) of 10 m. It is subdivided transversely into four equal compartments of equal length with the end compartments loaded fully with oil of density $=0.9\text{ tonne/m}^{3}$. The barge floats in water having a density of $1000\text{ kg/m}^{3}$. If the hull structural weight is ignored, then the transverse metacentric height of the barge is m (correct to two decimal places).

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q53

NAT[2 Marks]

A propeller rotating at a speed of 108 RPM behind the ship produces a thrust of 720 kN with a torque of 700 kNm, when it travels at a speed of 15 knots. In open water, this propeller rotating at the same speed, produces the same thrust at an advance speed of 12 knots, and develops the same torque at an advance speed of 12.3 knots. Then, the average of the wake fractions is (correct to two decimal places).

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q54

NAT[2 Marks]

Consider a ship with one half of its midship cross-section, as shown in the figure, with moulded breadth B of 30 m and moulded depth D of 9 m.\nAssume the following:\nThe deck, side shell and bottom plate have the same thickness\nThe yield stress of the material is 240 MPa\nThe section is subjected to a vertical bending moment of 712.8 MNm\nIgnore the self-moment of inertia of the deck and bottom plating in calculations.\nThe distance of the fiber farthest from the neutral axis can be considered excluding the plate thickness.\nIf the maximum bending stress is equal to the yield stress, then the plate thickness is mm (rounded off to one decimal place).

Explanation

GATE→2022→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q55

NAT[2 Marks]

Consider a ship with a forward speed U of $9.81\text{ m/s}$ moving in deep waters. A wave is incident at an angle $\beta=120^{\circ}$ to the longitudinal axis of the ship as shown in figure. Assume acceleration due to gravity $g=9.81\text{ m/s}^{2}$. If a person onboard the ship observes the encounter period of the incident wave to be 4.187 s, then the actual period of the wave is s (rounded off to one decimal place).

Explanation

Thermodynamics and Marine Engineering

10 Questions

GATE→2022→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q56

MCQ[1 Mark]

In a diesel engine, the ignition is initiated by the

(A)

spark

(B)

preheating of the fuel

(C)

heating due to the compression of intake air

(D)

preheating of the intake air

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q57

MCQ[1 Mark]

In an internal combustion engine, supercharging is the process of supplying intake air at a pressure

(A)

higher than that of the ambient

(B)

lower than that of the fuel

(C)

higher than that of the fuel

(D)

lower than that of the ambient

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Engine Dynamics & Marine Auxiliary Machinery & Systems

Q58

MCQ[1 Mark]

The most desirable property amongst the following for a lubricating oil is

(A)

high density

(B)

high dynamic viscosity

(C)

low density

(D)

low dynamic viscosity

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q59

MSQ[1 Mark]

Which of the following are TRUE for pressure, temperature and density of a thermodynamic system?

(A)

path functions

(B)

point functions

(C)

inexact differentials

(D)

exact differentials

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q60

MCQ[2 Marks]

If $\Delta h_{m}$ and $\Delta h_{f}$ are the enthalpy drops across the moving and fixed blades of a turbine stage, then the degree of reaction is

(A)

$\frac{\Delta h_{m}}{\Delta h_{f}}$

(B)

$\frac{\Delta h_{f}}{\Delta h_{m}}$

(C)

$\frac{\Delta h_{m}}{\Delta h_{m}+\Delta h_{f}}$

(D)

$\frac{\Delta h_{f}}{\Delta h_{m}+\Delta h_{f}}$

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q61

MSQ[2 Marks]

For a simple vapour compression refrigeration, which of the following thermodynamic cycles (1-2-3-4) are possible? Here, T, P, s and h indicate temperature, pressure, specific entropy and specific enthalpy, respectively.

(A)

Cycle A (T-s)

(B)

Cycle B (P-h)

(C)

Cycle C (P-h variant)

(D)

Cycle D (T-s variant)

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q62

MSQ[2 Marks]

An Otto cycle has states 1 and 2 at the beginning and the end of the compression stroke, respectively. The states 3 and 4 are at the beginning and the end of the expansion stroke, respectively.\nLet the compression ratio of the cycle be r, specific heat ratio of air be $\gamma$, specific heat of air at constant volume be $C_{v}$, and P, v, and T be pressure, specific volume and temperature of the air, respectively. Then, which of the following expressions represent the thermal efficiency of the cycle?

(A)

$1-\frac{1}{r^{\gamma-1}}$

(B)

$1-\frac{T_{3}-T_{4}}{T_{2}-T_{1}}$

(C)

$\frac{(P_{3}v_{3}-P_{4}v_{4})-(P_{2}v_{2}-P_{1}v_{1})}{C_{v}(T_{3}-T_{2})(\gamma-1)}$

(D)

$1-r^{\gamma-1}$

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q63

NAT[2 Marks]

An air standard Otto cycle has a compression ratio of 6 and a mean effective pressure of 1000 kPa. Assume that the specific heat ratio $\gamma$ as 1.4 and specific gas constant R as 0.287 kJ/kgK for the air. If the pressure and temperature at the beginning of the compression stroke are 100 kPa and 300 K, respectively, then the specific work output of the cycle is kJ/kg (rounded off to one decimal place).

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q64

NAT[2 Marks]

If methane ($\text{CH}_{4}$) gas reacts with air at a stoichiometric proportion, then the air-fuel ratio of the combustion process is (rounded off to one decimal place).

Explanation

GATE→2022→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q65

NAT[2 Marks]

In a vapour compression refrigeration cycle using R134 as the refrigerant, the enthalpies are (i) $240\text{ kJ}/\text{kg}$ at the beginning of the compression, (ii) $275\text{ kJ}/\text{kg}$ at the end of the compression and (iii) $96\text{ kJ}/\text{kg}$ at the beginning of the throttling.\nThen the coefficient of performance of the cycle is (rounded off to one decimal place).

Explanation