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General Aptitude(10)Engineering Mathematics(10)Applied Mechanics and Structures(10)Fluid Mechanics and Marine Hydrodynamics(9)Naval Architecture and Ocean Engineering(16)Thermodynamics and Marine Engineering(10)

General Aptitude

10 Questions

GATE→2024→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

If '->' denotes increasing order of intensity, then the meaning of the words [dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\rightarrow$ fast $\rightarrow$ __]. Which one of the given options is appropriate to fill the blank?

(A)

starve

(B)

reject

(C)

feast

(D)

deny

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

If two variables x and y are such that $(x+y)$ is proportional to $\frac{x}{y}$, then

(A)

Option A

(B)

Option B

(C)

Option C

(D)

is a constant

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

(A)

13.5

(B)

14

(C)

11

(D)

18.7

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Total money in 25 coins is...

(A)

Option A

(B)

14 2/7 %

(C)

feasts

(D)

30%

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

For positive non-zero real variables p and q, if $$\log(p^{2}+q^{2})=\log p+\log q+2\log 3$$ then, the value of $\frac{p^{4}+q^{4}}{p^{2}q^{2}}$ is

(A)

79

(B)

81

(C)

9

(D)

83

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading to bat; (ii) batting, he could only do so with a cool head (iii) for, while he had a head (iv) his shoulders.

(A)

(i) on, (ii) down, (iii) for, (iv) on

(B)

(i) on, (ii) down, (iii) for, (iv) down

(C)

(i) down, (ii) out, (iii) for, (iv) on

(D)

(i) on, (ii) out, (iii) for, (iv) down

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

A rectangular paper sheet of dimensions $54\text{ cm} \times 4\text{ cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is

(A)

$1 / \pi$

(B)

$2 / \pi$

(C)

$3 / \pi$

(D)

$4 / \pi$

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%. Energy density: Fat types = $9\text{ kcal/g}$. The total fat (all three types), in grams, this person consumes is

(A)

44.4

(B)

77.8

(C)

100

(D)

3,600

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

A rectangular paper of $20\text{ cm} \times 8\text{ cm}$ is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

(A)

18

(B)

24

(C)

20

(D)

21

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

The least number of squares to be added in the figure to make AB a line of symmetry is...

(A)

Option A

(B)

4

(C)

5

(D)

7

Explanation

Engineering Mathematics

10 Questions

GATE→2024→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q11

MCQ[1 Mark]

The value of the contour integral $\oint \frac{dz}{2z - z^{2}}$ along the circle $|z|=1$, oriented in the counterclockwise sense is

(A)

$\pi i$

(B)

0

(C)

$2\pi i$

(D)

$4\pi i$

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q12

MCQ[1 Mark]

The tangent plane to the surface $x^{2}+y^{2}+z=9$ at the point $(1, 2, 4)$ is

(A)

$x+4y+z=14$

(B)

$4x+2y+z=12$

(C)

$x+4y+2z=17$

(D)

$4x+y+2z=14$

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q13

MCQ[1 Mark]

The value of the line integral $\oint x^{2}dx+2x\,dy$ along the ellipse $4x^{2}+y^{2}=4$ oriented in the counterclockwise sense is

(A)

$\pi$

(B)

$2\pi$

(C)

$4\pi$

(D)

$8\pi$

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q14

MCQ[1 Mark]

The system of linear equations: $x + 2y + 3z = 4$ $2x - y - 2z = a^2$ $-x - 7y - 11z = a$ is consistent for specific values of a.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

-3 and 4

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q15

NAT[1 Mark]

The arc length of the one arch of the cycloid given by $x=t-\sin t$ and $y=1-\cos t$ is

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q16

MCQ[2 Marks]

Consider the matrices $M = \begin{pmatrix} 2 & 1 \\ 0 & 2 \end{pmatrix}$ and $N = \begin{pmatrix} 1 & 0 & 0 \\ 1 & 2 & 0 \\ 1 & 1 & 0 \end{pmatrix}$. Which one of the following is true?

(A)

M is not diagonalizable but N is diagonalizable

(B)

Both M and N are not diagonalizable

(C)

Both M and N are diagonalizable

(D)

M is diagonalizable but N is not diagonalizable

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q17

MSQ[2 Marks]

Consider the function $f(x,y) = x^{4} + y^{4} - 4xy + 1$. Which of the following is/are correct?

(A)

The minimum value of f occurs at (0,0)

(B)

The point (0,0) is a point of inflection

(C)

f has three critical points

(D)

The minimum value of f is -1

Explanation

GATE→2024→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q18

MSQ[2 Marks]

Consider the $2\pi$-periodic function defined by $f(x) = \begin{cases} -1 & \text{if } -\pi < x \le 0 \\ 1 & \text{if } 0 < x < \pi \end{cases}$ Which of the following is/are correct about its Fourier series expansion $\frac{a_0}{2} + \sum_{n=1}^\infty (a_n \cos nx + b_n \sin nx)$?

(A)

$a_n = \frac{1}{n} \forall n = 1, 2, \dots$

(B)

$a_0 = 0$

(C)

$b_n = \frac{4}{n\pi}$ if n is odd

(D)

$b_n = -\frac{4}{n\pi}$ if n is even

Explanation

GATE→2024→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q19

NAT[2 Marks]

If X is a Poisson random variable with mean $\mu = 1$ then the conditional probability of the event $\{X \ge 2\}$ given that the event $\{X \ge 4\}$ has occurred, is (rounded off to two decimal places).

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra & Calculus

Q20

NAT[2 Marks]

The value of the triple integral $\iint (xy^{2}+yz^{3})\,dx\,dy\,dz$ over the region given by $-1 \le x \le 1$, $3 \le y \le 4$, $0 \le z \le 2$, is

Explanation

Applied Mechanics and Structures

10 Questions

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q21

MCQ[1 Mark]

Consider an initially perfectly straight elastic column with pinned supports at both ends. If E is the Young's modulus of the material, L is the length of the column between the supports, and I is the least moment of inertia of the constant cross-sectional area of the column, then the Euler load is given by

(A)

$\frac{\pi^{2}EI}{L^{2}}$

(B)

$\frac{\pi^{2}EI}{4L^{2}}$

(C)

$\frac{\pi^{2}EI}{\sqrt{2}L^{2}}$

(D)

$\frac{2\pi^{2}EI}{L^{2}}$

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q22

MCQ[1 Mark]

For a plane stress condition in elasticity, normal stress $\sigma_z$ is zero, and...

(A)

Option A

(B)

normal strain $\epsilon_z$ is zero

(C)

Option C

(D)

Option D

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q23

MCQ[1 Mark]

How many independent material constants in solids are required to define isotropic materials?

(A)

2

(B)

3

(C)

9

(D)

21

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q24

MCQ[2 Marks]

A simply supported beam is subjected to a concentrated moment M at the mid span as shown in the figure. The magnitude of the bending moment at a distance of $L/4$ from the left support A is equal to

(A)

M

(B)

$\frac{ML}{4}$

(C)

$\frac{M}{4}$

(D)

$\frac{M}{2}$

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q25

MCQ[2 Marks]

A steel deck plate of a tanker is supported by two longitudinal stiffeners as shown in the figure. The width of the plate is a and its length is 5 times the width. Assume that the long edge is simply supported, and the short edge is free. The plate is loaded by a distributed pressure, $p = p_{0}\sin\left(\frac{\pi y}{a}\right)$ where $p_0$ is the pressure at $y=a/2$. The flexural rigidity of the plate is D. The plate equation is given by

(A)

$\frac{\partial^{4}w}{\partial y^{4}}=\frac{p_{0}}{D}\sin\left(\frac{\pi y}{a}\right)$

(B)

$\frac{\partial^{2}w}{\partial x^{2}}=\frac{p_{0}}{D}\sin\left(\frac{\pi y}{a}\right)$

(C)

$\frac{\partial^{2}w}{\partial y^{2}}=\frac{p_{0}}{D}\sin\left(\frac{\pi y}{a}\right)$

(D)

$\frac{\partial^{4}w}{\partial x^{4}}=\frac{p_{0}}{D}\sin\left(\frac{\pi y}{a}\right)$

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q26

MCQ[2 Marks]

In the solution of statically indeterminate problems, Castigliano's second theorem employs the

(A)

principle of virtual work

(B)

virtual displacement method

(C)

virtual force method

(D)

principle of least work

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q27

NAT[2 Marks]

Structural mechanics or thermodynamics calculation task.

Explanation

GATE→2024→Applied Mechanics and Structures→Vibrations & Machine Design

Q28

NAT[2 Marks]

A single degree of freedom system has a mass, stiffness and damping of 200 kg, $20\text{ N/m}$ and $62\text{ N-s/m}$ respectively. For a forced oscillation system, if the excitation frequency is equal to the undamped natural frequency, then the dynamic magnification factor is (rounded off to three decimal places).

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q29

NAT[2 Marks]

Consider a thin-walled closed cylindrical steel vessel with an internal pressure of $2\text{ N/mm}^2$. The inner diameter is 1 m, and the thickness of the wall is 10 mm. The hoop stress is $N/mm^2$ (rounded off to one decimal place).

Explanation

GATE→2024→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q30

NAT[2 Marks]

Consider a rectangular plate with in-plane loads. The state of the stress at an arbitrary angle $\theta$ is defined by $\sigma_{x}$, $\sigma_{y}$ and $\tau_{xy}$ as shown in the figure. If the principal plane is at $\theta=45^{\circ}$ and the principal stresses are $\sigma_1 = 8\text{ N/mm}^2$ and $\sigma_2 = 3\text{ N/mm}^2$, then the corresponding $\tau_{xy} =$ N/mm².

Explanation

Fluid Mechanics and Marine Hydrodynamics

9 Questions

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q31

MCQ[1 Mark]

Which one of the following is the integral/differential mass conservation equation (continuity equation)?

(A)

Option A

(B)

Option B

(C)

$-\frac{\partial}{\partial t}\iint_{V}\rho dV=\iint_{S}\rho\vec{v}.\hat{n}\,ds$

(D)

Option D

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q32

MCQ[1 Mark]

Identify the type of flow from the time series plots of instantaneous fluid velocity (u) at a point (I, II, III, IV).

(A)

Option A

(B)

Option B

(C)

I - steady turbulent flow; II - unsteady turbulent flow; III - steady laminar flow; IV - unsteady laminar flow

(D)

Option D

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q33

NAT[1 Mark]

A 10 m long pipe with inlet and outlet diameters of 40 cm and 20 cm respectively, is carrying an incompressible fluid with a flow rate of $0.04\text{ m}^3/\text{s}$. The ratio of the velocity at the outlet to that at the inlet is (rounded off to one decimal place)

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q34

NAT[1 Mark]

Consider a fluid between two horizontal parallel flat plates 5 mm apart as shown in the figure. The top plate of dimensions $0.5\text{ m} \times 2\text{ m}$ is towed with an applied horizontal force F of 0.01 N, while the infinitely long bottom plate is kept fixed. The horizontal velocity profile between the plates is assumed to be linear. If the dynamic viscosity ($\mu$) of the fluid is $0.89 \times 10^{-3}\text{ N-s/m}^2$ then the towing velocity of the top plate is $m/s$ (rounded off to three decimal places).

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q35

MCQ[2 Marks]

Consider model testing where $\lambda$ is the prototype to model length scale ratio. Let $\nu_{p}$ and $\nu_{m}$ denote the corresponding fluid kinematic viscosities. If Froude and Reynolds similarities are maintained between the prototype and model, then which one of the following is correct?

(A)

$\nu_{m} = \lambda^{-3/2} \nu_{p}$

(B)

$\nu_{m} = \lambda^{3/2} \nu_{p}$

(C)

$\nu_{m} = \lambda^{2/3} \nu_{p}$

(D)

$\nu_{m} = \lambda^{-2/3} \nu_{p}$

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q36

MCQ[2 Marks]

A uniform flow, a point source of strength $+\sigma$ at $(a, 0)$ and a point sink of strength $-\sigma$ at $(-a, 0)$ are shown in the figure. The velocity potential $\phi$ resulting from the superposition of these flow fields is given by

(A)

$\phi=-U_{\infty}x+\frac{\sigma}{2\pi}\ln\sqrt{(x+a)^{2}+y^{2}}-\frac{\sigma}{2\pi}\ln\sqrt{(x-a)^{2}+y^{2}}$

(B)

$\phi=-U_{\infty}x+\frac{\sigma}{2\pi}\ln\sqrt{(x-a)^{2}+y^{2}}-\frac{\sigma}{2\pi}\ln\sqrt{(x+a)^{2}+y^{2}}$

(C)

$\phi=U_{\infty}x+\frac{\sigma}{2\pi}\ln\sqrt{(x-a)^{2}+y^{2}}-\frac{\sigma}{2\pi}\ln\sqrt{(x+a)^{2}+y^{2}}$

(D)

$\phi=U_{\infty}x+\frac{\sigma}{2\pi}\ln\sqrt{(x-a)^{2}+y^{2}}-\frac{\sigma}{2\pi}\ln\sqrt{(x-a)^{2}+y^{2}}$

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q37

MSQ[2 Marks]

Consider the following momentum equation vector form terms: $\rho \left[ \frac{\partial V}{\partial t} + \text{grad}\left(\frac{V^{2}}{2}\right) + (\text{curl}\,V)\times V \right] = -\text{grad}(P + \rho gz) + \mu\nabla^{2}V$ Let A, B and C denote the first, second and third term on the left-hand side respectively and, D and E denote the first and second term on the right-hand side respectively. Which of the following statement(s) is/are correct?

(A)

If terms A, C and E vanish, then the flow is irrotational.

(B)

If term A vanishes, then the flow is steady.

(C)

If term D vanishes, then it leads to the Euler's equation.

(D)

If terms A, B, C and E vanish, then it leads to the hydrostatic equation.

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q38

MSQ[2 Marks]

Consider the flow past a curved wall as shown in the figure. Which of the following statement(s) is/are correct?

(A)

P is the separation point.

(B)

Between T and U, the pressure gradient in the streamwise direction at the wall is positive.

(C)

U is the stagnation point.

(D)

Between T and U, the streamwise-velocity gradient in the normal direction at the wall is negative.

Explanation

GATE→2024→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q39

NAT[2 Marks]

A circular cylinder of diameter $0.5\text{ m}$ and length $2\text{ m}$, rotating in clockwise direction in a flow of velocity $2\text{ m/s}$. Assume the density of fluid is $1.225\text{ kg/m}^3$ and $\pi = 3.14$. By Kutta-Joukowski theorem, the lift force is N (rounded off to the nearest integer).

Explanation

Naval Architecture and Ocean Engineering

16 Questions

GATE→2024→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q40

MCQ[1 Mark]

A ship with a standard right-handed coordinate system has positive x, y and z axes respectively pointing towards bow, starboard and down as shown in the figure. If the ship takes a starboard turn, then the drift angle, sway velocity and the heel angle of the ship for a steady yaw rate respectively are

(A)

positive, negative and positive

(B)

negative, positive and positive

(C)

negative, positive and negative

(D)

positive, negative and negative

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q41

MCQ[1 Mark]

A ship with controls fixed, is modeled as a two degrees of freedom system. For the linear maneuvering equations of motion for coupled sway and yaw, if the derived eigenvalues are real and negative, then the ship must possess

(A)

positional motion stability

(B)

directional stability

(C)

straight line stability

(D)

both directional and positional motion stabilities

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q42

MCQ[1 Mark]

The GZ curve for a stable ship is shown in the figure, where P is a point of inflection on the curve. Match the labels in Column 1 with the corresponding descriptions in Column 2: Column 1: P, Q, R, ST Column 2: I: Angle of vanishing stability II: Maximum GZ III: Initial GM (slope at origin) IV: Deck edge immersion

(A)

P-I; Q-II; ST-III; R-IV

(B)

P-I; Q-II; ST-III; R-IV (variant)

(C)

ST-I; R-II; Q-III; P-IV

(D)

R-I; Q-II; P-III; ST-IV

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q43

MSQ[1 Mark]

Which of the following hull distortion(s) is/are resisted by a ship's transverse bulkhead?

(A)

Racking

(B)

Torsion

(C)

Longitudinal bending

(D)

Horizontal bending

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q44

MSQ[1 Mark]

Which of the following statement(s) is/are correct about strip theory?

(A)

It can be used to calculate the surge added mass

(B)

It is a two-dimensional theory

(C)

It can be used to calculate the pitch added mass

(D)

It can be used to calculate the coupled sway, roll and yaw added mass

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q45

NAT[1 Mark]

An 80 m long barge with rectangular cross-section of 12 m beam and 4 m draft floats at even keel. The transverse metacenter (KM) above the keel is m.

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q46

NAT[1 Mark]

A 100 m long ship has a cruising speed of 25 knots. A geometrically similar model of 4 m length is used for resistance prediction in a towing tank. The corresponding speed of the model is knots.

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q47

NAT[1 Mark]

A cube-shaped pontoon with 200 tonnes of mass placed on it, floats with a freeboard of 1 m in fresh water. When the mass is removed, the pontoon floats with a freeboard of 3 m. The length of the pontoon is m (rounded off to two decimal places).

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q48

MCQ[2 Marks]

Consider a two-dimensional ship section as shown in the figure. About the point O, let the sway added mass components be $a_{22}$ and $a_{24}$ and roll added moment of inertia be $a_{44}$. The clockwise roll angle is considered positive. The roll added mass due to roll, about P which is at a distance $Z_P$ above O is given by

(A)

$a_{44} - a_{24} z_P$

(B)

$a_{44} - a_{22} z_P - a_{24} z_P$

(C)

$a_{44} - a_{22} z_P + a_{24} z_P$

(D)

$a_{22} + a_{24} + a_{44}$

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q49

MCQ[2 Marks]

A ship with a displacement of 10000 tonnes has the center of gravity at 4 m above the keel and 1.5 m forward of midship. If 2000 tonnes of cargo is placed at 10 m above the keel and 1.5 m aft of midship, then the new position of the center of gravity is

(A)

5 m above the keel and 1 m aft of midship

(B)

6 m above the keel and 1 m forward of midship

(C)

6 m above the keel and 1 m aft of midship

(D)

5 m above the keel and 1 m forward of midship

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q50

MCQ[2 Marks]

The waterplane area of a ship floating in sea water is $2000\text{ m}^2$. The density of seawater is $1025\text{ kg/m}^3$. If a mass of 246 tonnes is added to the ship, then the TPC (Tonnes Per Centimeter immersion) and increase in draft (in cm) respectively are

(A)

20.50 and 12

(B)

20 and 12.3

(C)

20.50 and 24

(D)

10.25 and 24.6

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q51

MCQ[2 Marks]

The open water characteristics of a propeller is shown in the figure. Match the labels in Column 1 with the corresponding descriptions in Column 2: Column 1: K_T, 10K_Q, \eta_0, etc. Column 2: I: Bollard pull condition ($J=0$) II: Feathering condition III: Wind milling condition IV: Efficiency curve

(A)

P-I; Q-II; Q-III; R-IV (matching option A)

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q52

NAT[2 Marks]

The wave spectrum and the ship heave Response Amplitude Operator (RAO) are shown in the figure. The variance of the heave motion is $m^2$ (rounded off to three decimal places).

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q53

NAT[2 Marks]

A propeller disc of diameter 2 m produces a thrust of 88 kN while advancing at a speed of $5\text{ m/s}$ in fresh water of density $1000\text{ kg/m}^3$. Based on the axial momentum theory, the propeller efficiency is % (rounded off to one decimal place).

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q54

NAT[2 Marks]

A ship of 5000 tonnes displacement has a rectangular tank 6 m long and 10 m wide, half-filled with oil of relative density 0.8. The virtual reduction in the transverse metacentric height of the ship due to free surface effect of the oil in the tank is m.

Explanation

GATE→2024→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q55

NAT[2 Marks]

An ocean wave of period 8 s and height 2 m is propagating in the Indian Ocean from south to north. According to linear wave theory, for the wave to be considered as a deep-water wave, the minimum water depth should be m (rounded off to the nearest integer).

Explanation

Thermodynamics and Marine Engineering

10 Questions

GATE→2024→Thermodynamics and Marine Engineering→Engine Dynamics & Marine Auxiliary Machinery & Systems

Q56

MCQ[1 Mark]

Which one of the following is characteristic of marine diesel engines?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Engine Dynamics & Marine Auxiliary Machinery & Systems

Q57

MCQ[1 Mark]

Which one of the following reduces the ratio of vibratory response amplitude to the forcing amplitude, in large stationary engine shaft design?

(A)

Reduction in axial vibrations of the rotating shaft

(B)

Increase in the fundamental frequency of the rotating shaft

(C)

Decrease in the rotational speed of shaft

(D)

Operating the shaft at a speed exceeding the critical speed

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q58

MSQ[1 Mark]

Which of the following boiler/reactor types are utilized in marine propulsion plants?

(A)

Boiled water reactor boiler (Pressurized water reactor steam generator)

(B)

Water tube boiler

(C)

Fire tube boiler

(D)

Option D

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q59

MSQ[1 Mark]

Consider an ideal Rankine cycle as shown in the figure. The overall efficiency of the cycle can be improved by

(A)

increasing the pressure at which heat is added

(B)

decreasing the pressure at which heat is rejected

(C)

employing an intercooler

(D)

superheating the steam

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q60

MSQ[1 Mark]

Which of the following statement(s) is/are correct for a thermodynamic closed system?

(A)

The entropy change is positive for a reversible adiabatic process

(B)

The entropy change is positive for a reversible cycle

(C)

The entropy change is positive for a reversible isothermal heat addition process

(D)

The entropy change is negative for a reversible isothermal heat rejection process

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q61

MCQ[2 Marks]

Which one of the following p-h plots represents the ideal vapour compression cycle with intercooling? Here, p and h denote pressure and specific enthalpy respectively.

(A)

Plot A

(B)

Plot B

(C)

Plot C

(D)

Plot D

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q62

MCQ[2 Marks]

Which one of the following psychrometric processes is represented by the line 1-2 in the figure?

(A)

Cooling and humidification

(B)

Heating and humidification

(C)

Sensible cooling

(D)

Sensible heating

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q63

NAT[2 Marks]

A 4-cylinder, 4-stroke diesel engine operating at 3000 rpm has a compression ratio r of 12 and cut-off ratio $r_c$ of 2.5. The temperature rise during the heat addition process is 2400 K. Given mass flow rate or fuel parameters, $\gamma = 1.4$ and $C_p = 1.004\text{ kJ/kg-K}$. The power output of the engine is kW

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q64

NAT[2 Marks]

Consider a gas turbine combustor with air as the working fluid. The flow enters the device at 500 K and leaves at 1400 K with a mass flow rate of $0.1\text{ kg/s}$. Neglect changes in kinetic energy and potential energy. Given $C_{v} = 0.717\text{ kJ/kg-K}$ and $R = 0.287\text{ kJ/kg-K}$. The heat addition rate is kW (rounded off to the nearest integer).

Explanation

GATE→2024→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q65

NAT[2 Marks]

A new absolute temperature scale is proposed based on a Carnot engine operating between hot and cold reservoirs of temperatures $T_{L}$ and $T_{H}$ respectively. Let $Q_{L}$ and $Q_{H}$ be the respective heat transfers, with the relation given by $\frac{T_{L}}{T_{H}}=\frac{Q_{L}}{Q_{H}}$. On the new scale, the difference between the steam and ice points of water is 500 units and the efficiency of the engine is 0.268. The steam point of water on this scale is units (rounded off to the nearest integer).

Explanation