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XE Engineering Science- 2013 GATE Paper (Practice Test) - GATE MCQ


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154 Questions MCQ Test - XE Engineering Science- 2013 GATE Paper (Practice Test)

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XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 1

if  v then which of the following options is TRUE?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 2

The Headmaster ___________ to speak to you.
Which of the following options is incorrect to complete the above sentence?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 3

Mahatama Gandhi was known for his humility as

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 4

Which of the above underlined parts of the sentence is not appropriate?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 5

Select the pair that best expresses a relationship similar to that expressed in the pair:
water: pipe::

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 6

Q. 6 to Q. 10 carry two marks each

Q.

Velocity of an object fired directly in upward direction is given by V = 80 − 32 t, where t (time)
is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 7

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents
respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a
randomly drawn autocomponent from the combined lot is found defective, what is the probability
that it was manufactured by M2?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 8

Following table gives data on tourists from different countries visiting India in the year 2011.

Which two countries contributed to the one third of the total number of tourists who visited India in
2011?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 9

If |−2x + 9| = 3 then the possible value of |−x| − x2 would be:

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 10

All professors are researchers
Some scientists are professors
Which of the given conclusions is logically valid and is inferred from the above arguments:

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 11

Q. 11 – Q. 17 carry one mark each.

Q.

 

The value of the integral 

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 12

Which one of the following partial differential equations CAN NOT be reduced to two
ordinary differential equations by the method of separation of variables?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 13

The Fourier series of the periodic function

is given by

Using the above, the sum of the infinite series  

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 14

Consider the function   the function f

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 15

The integral  along the contour C: |z − (1 + i)| = 2, oriented anticlockwise,
is equal to

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 16

The integral equals

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 17

If the mean and variance of a binomial distribution are 6 and 2 respectively, then the
probability of two failures is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 18

Q. 18 - Q. 21 carry two marks each.

Q

For the matrix   consider the following statements

(P) The characteristic equation of λ is λ3 − λ = 0.
(Q) M-1 does not exist.
(R) The matrix M is diagonalizable.
Which of the above statements are true?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 19

The work done by the force in moving a particle once
along the triangle with vertices (0,0), (1,0) and (0,1) in the anti-clockwise direction is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 20

The general solution of the differential equation

is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 21

Using Euler’s method to solve the differential equation

with step-size h = 0.25, the value of y(0.5) is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 22

Q. 22 – Q. 30 carry one mark each.

Q.

The gauge pressure inside a soap bubble of radius R, with σ denoting the surface tension between the soap solution and air, is.

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 23

Let M, B and G represent respectively the metacentre, centre of buoyancy and the centre of
mass of a floating buoy. Which of the following statements is correct?

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 24

A reservoir connected to a pipe line is being filled with water, as shown in the Figure. At
any time t, the free surface level in the reservoir is h. Find the time in seconds for the
reservoir to get filled up to a height of 1 m, if the initial level is 0.2 m. _________

(Important : you should answer only the numeric value)


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 25

Bernoulli’s equation is valid for the following type of flow:

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 26

If A is the area of a circle of radius r enclosing a plane forced vortex flow, with origin at
the centre of the vortex and if ω is the angular velocity, ζ is the vorticity, is the velocity
vector, then the circulation around the contour of the circle is given by

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 27

Flow past a circular cylinder can be produced by superposition of the following elementary
potential flows:

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 28

Let δ, δ1 and δ2 denote respectively the boundary-layer thickness, displacement thickness
and the momentum thickness for laminar boundary layer flow of an incompressible fluid
over a flat plate. The correct relation among these quantities is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 29

In the hydrodynamic entry region of a circular duct, the pressure forces balance the sum of

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 30

Bodies with various cross-sectional shapes subjected to cross-flow of air are shown in the
following figures. The characteristic dimension of all the shapes is the same. The crosssectional
shape with the largest coefficient of drag (i.e. sum of the pressure and skinfriction
drags), at any moderately large Reynolds number, is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 31

Q. 31 - Q. 44 carry two marks each.

Q.

A U-tube of a very small bore, with its limbs in a vertical plane and filled with a liquid of
density ρ, up to a height of h, is rotated about a vertical axis, with an angular velocity of
ω, as shown in the Figure. The radius of each limb from the axis of rotation is R. Let pa be
the atmospheric pressure and g, the gravitational acceleration. The angular velocity at
which the pressure at the point O becomes half of the atmospheric pressure is given by

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 32

An incompressible fluid at a pressure of 150 kPa (absolute) flows steadily through a twodimensional
channel with a velocity of 5 m/s as shown in the Figure. The channel has a 90o
bend. The fluid leaves the channel with a pressure of 100 kPa (absolute) and linearlyvarying
velocity profile. vmax is four times vmin. The density of the fluid is 914.3 kg/m3. The
velocity vmin, in m/s, is.

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 33

The velocity vector corresponding to a flow field is given, with usual notation, by 

  The magnitude of rotation at the point (2,2) in rad/s is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 34

The stream function for a potential flow field is given by ψ = x2-y2. The corresponding
potential function, assuming zero potential at the origin, is

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 35

Fully developed flow of an oil takes place in a pipe of inner diameter 50 mm. The pressure
drop per metre length of the pipe is 2 kPa. Determine the shear stress, in Pa, at the pipe
wall. __________

 

(Important : you should answer only the numeric value)


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 36

The Darcy friction factor f for a smooth pipe is given by f = 64/Re for laminar flow and
by f = 0.3/Re0.25 for turbulent flow, where Re is the Reynolds number based on the
diameter. For fully developed flow of a fluid of density 1000 kg/m3 and dynamic viscosity
0.001 Pa.s through a smooth pipe of diameter 10 mm with a velocity of 1 m/s, determine
the Darcy friction factor. _________

(Important : you should answer only the numeric value)


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 37

Air flows steadily through a channel. The stagnation and static pressures at a point in the
flow are measured by a Pitot tube and a wall pressure tap, respectively. The pressure
difference is found to be 20 mm Hg. The densities of air, water and mercury, in kg/m3, are
1.18, 1000 and 13600, respectively. The gravitational acceleration is 9.81 m/s2. Determine
the air speed in m/s. _____________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 38

Common Data for Questions 38 and 39:

The velocity field within a laminar boundary layer is given by the expression

where B = 100 m1/2 and the free stream velocity u = 0.1 m/s.

Q.

 


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 39

Calculate the x-direction component of the acceleration in m/s2 at the point x = 0.5 m and
y = 50 mm. _________

(Important : you should answer only the numeric value)


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 40

The velocity field within a laminar boundary layer is given by the expression

where B = 100 m1/2 and the free stream velocity u = 0.1 m/s.

Q.

Find the slope of the streamline passing through the point x = 0.5 m and y = 50mm. ____


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 41

Common Data for Questions 41 and 42:

The wave and eddy resistance of a sea-going vessel, 96 m in length, driven at a velocity of 12 m/s,
is to be determined. For this purpose, a 1/16 th scale model is employed in fresh water and the
coefficient of resistance Cwe of the model is found to be 1.47×10-4. The quantity Cwe is defined as
Fwe/(ρV2L2/2), where Fwe is the wave and eddy resistance, ρ is the density, V is the velocity and
L is the characteristic length. The density of sea water is 1026 kg/m3.  

Q.

The velocity in m/s, at which the model is towed, is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 42

The wave and eddy resistance of a sea-going vessel, 96 m in length, driven at a velocity of 12 m/s,
is to be determined. For this purpose, a 1/16 th scale model is employed in fresh water and the
coefficient of resistance Cwe of the model is found to be 1.47×10-4. The quantity Cwe is defined as
Fwe/(ρV2L2/2), where Fwe is the wave and eddy resistance, ρ is the density, V is the velocity and
L is the characteristic length. The density of sea water is 1026 kg/m3.  

Q.

The resistance of the prototype, in kN, is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 43

Statement for Linked Answer Questions 43 and 44:

Water enters a symmetric forked pipe and discharges into atmosphere through the two branches as
shown in the Figure. The cross-sectional area of section-1 is 0.2 m2 and the velocity across
section-1 is 3 m/s. The density of water may be taken as 1000 kg/m3. The viscous effects and
elevation changes may be neglected.

Q.

The gauge pressure at section-1, in kPa, is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 44

Water enters a symmetric forked pipe and discharges into atmosphere through the two branches as
shown in the Figure. The cross-sectional area of section-1 is 0.2 m2 and the velocity across
section-1 is 3 m/s. The density of water may be taken as 1000 kg/m3. The viscous effects and
elevation changes may be neglected.

Q.

The magnitude of the force, in kN, required to hold the pipe in place, is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 45

Q. 45 – Q. 53 carry one mark each

Q.

As temperature increases, diffusivity of an atom in a solid material

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 46

Which of the following is NOT correct?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 47

At a constant atmospheric pressure, the number of phases, P which coexist in a chosen system at
equilibrium, is related to the number of components, C in the system and the degree of freedom, F
by

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 48

Which one of the following metals is commonly alloyed with iron to improve its corrosion
resistance?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 49

The number of slip systems in a metal with FCC crystal structureis

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 50

Upon recrystallization of a cold worked metal

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 51

In carbon fiber reinforced resin composites, for a given fiber volume content, Young’s modulus
depends on the orientation of the fiber with respect to the applied load. Which orientation of the
fibers will give the maximum value of Young’s modulus?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 52

Vulcanization is related to

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 53

Which one of the following oxides crystallizes into fluorite structure?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 54

Q. 54 - Q. 66 carry two marks each.

Q.

Match the conventional ceramic materials listed in Column I with their respective common
applications in Column II

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 55

Match the terminologies given in Column Iwith theirrelations listed in Column II

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 56

Match the microscopes listed in Column I with their principle of operation listed in Column II

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 57

X-rays of unknown wavelength are diffracted by an FCC metal with a lattice parameter of 0.352
nm. The measured ‘2θ’ angle for the {200} peak is 61.08o. Calculate the wavelength of the Xray
used, in nm. ___________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 58

A metal with HCP crystal structure has lattice constants a = 0.30 nm and c = 0.56 nm. Determine
the volume of the unit cell of this metal, in nm3. _________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 59

The band gap of a semiconducting material used to make an LED is 1.43 eV. What will be the
minimum wavelength ofthe radiation emitted by this LED, in μm? __________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 60

For automatic control of household electric water heater a relay switch is activated by thermal
expansion of a brass rod of length 50 cm as shown in the schematic below. The distance
between the rod and the lever, x, is adjusted by moving the base of the rod. As the water gets
heated the rod expands and as soon as the rod touches the lever, the circuit is broken
disconnecting the heater from the power supply. Find the distance, x, in mm, to be set at water
temperature of 20oC such that the circuit is broken at 70oC. The coefficient of linear thermal
expansion of brass is 20 x 10-6 oC-1 ______________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 61

Common Data for Questions 61 and 62:
 

From tensile test of a particular alloy the following values were obtained. The material exhibits linear work hardening as shown in the figure given below.

Q.

If the cylindrical specimen had a dimension of diameter 10 mm and length 50 mm, find the length
of the specimen at the yield point, in mm. ___________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 62

From tensile test of a particular alloy the following values were obtained. The material exhibits linear work hardening as shown in the figure given below.

Q.

Find the toughness of the material, in M J m-3. ____________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 63

Common Data for Questions 63 and 64:


An isomorphous alloy system contains 47 wt% of A and 53 wt % of B and is at 1300o C. Referring to the figure given below, answer the following:

Q.

What is the weight percentage of A in solid phase at this temperature? ___________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 64

An isomorphous alloy system contains 47 wt% of A and 53 wt % of B and is at 1300o C. Referring to the figure given below, answer the following:

Q.

What weight percentage of this alloy is liquid? __________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 65

Question not available


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 66

Question not available


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 67

Q. 67 – Q. 65 carry one mark each.

Q.

Question not available


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 68

A point in a body is subjected to a hydrostatic pressure of 100 MPa. Find the maximum shear
stress at this point in MPa. ___________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 69

A circular shaft of diameter 10 mm and length 3m is subjected to a torque of T = π N-m at a
location 2m away from the fixed end as shown in the Figure. Find out the angle of twist (in radians)
at the free end. Shear modulus of the material of the shaft is 10 GPa. ___________


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 70

A rigid massless rod ABC is hinged at A and carries a point mass M (in kg) at C. Point B is
connected to a linear spring with spring constant k (in N/m) as shown in the figure. The length AB
and AC area and L, respectively. Neglecting the effect of gravity, the natural frequency of this
spring-mass system in rad/s is

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 71

A two bar truss is shown in the Figure. The cross-sectional area and Young’s modulus of bar 1 are
0.02 m2 and 200GPa, respectively. The cross-sectional area and Young’s modulus of bar 2 are 0.01
mand 80GPa, respectively. The force F applied on the truss is 2 N. Find out the stress developed in
bar 2 in Pa. ___________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 72

A spring balance reads 10 kg in a lift when the lift is stationary. When the lift starts moving with a
constant acceleration, the new reading is 12.3 kg. If the upward acceleration is considered positive,
what is the acceleration of the lift? Acceleration due to gravity may be taken as 10
m/s2 downwards.______________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 73

A force F = 2 N is applied on a block of mass M = 0.5 kg as shown in the figure. The block is
constrained to move along the horizontal direction in a guideway. Find out the distance (in meters)
travelled by the block in 2 s starting from rest. Neglect any friction between the block and the
guideway. ____________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 74

A man of mass 50 kg is walking on a long wooden board of mass 200 kg (as shown in the Figure).
The wooden board is initially at rest on a frictionless ice surface. If the man walks with a velocityof
V =1 m/s in the positive x direction relative to the wooden board, find the velocity of the board in
m/s. Velocity is positive in the positive x direction. _____________


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 75

A rigid bar AB is hinged at B through a torsional spring with spring constant kt.. For small
rotations of the bar AB about B, the critical load Pcr is given by

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 76

Q. 76 - Q. 88 carry two marks each.

Q.

A disk of mass M= 14kg and radius 1 m is attached to a spring which has a stiffness k = 75 N/m and
an unstretched length of 1m. If the disk is released from rest in the position shown in the Figure and
the disk rolls without slipping, find its angular velocity (in rad/s) at the instant the center of mass is
displaced by 3 m. ______________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 77

A strain gauge is mounted on the outer surface of a thin cylindrical pressure vessel in the circumferential direction. The mean diameter and thickness of the cylinder are 4.0 m and 20 mm, respectively. Young’s modulus and Poisson’s ratio of the material of the cylinder are 200 GPa and 0.25, respectively. Find the pressure in MPa inside the cylindrical vessel when the strain gauge indicates a strain of 7.0x 10-4. ____________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 78

Question not available


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 79

A beam is fixed at the left end and supported by a spring at the other end. The length of the beam is
L and its flexural rigidity is EI. The spring constant of the spring is  k=3El/ L3. A vertical downward load P is applied at the right end. The deflection of the point under the load P is

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 80

Find the maximum bending moment (magnitude wise) in kN-m for the beam shown in the Figure.
______


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 81

A projectile is fired with a velocity V= 3√2 m/s from a point at height H = 0.8 m at an angle of 450
with respect to the horizontal direction as shown in the Figure. Find the horizontal distance S in
meters travelled by the projectile when it hits the ground. Take acceleration due to gravity as10 m/
s2. __________


*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 82

A particle P is moving on a circular path of radius r = 1m. The angular location θ of the particle is
measured as shown in the Figure. The motion of the particle is described by θ = 2 sin(t). Find the
magnitude of the total acceleration (in m/s2) of the particle at time t = π/3 seconds. _________


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 83

Common Data for Questions 83 and 84.


A frame ABC is shown in the Figure. Members AB and BC both have a length of L, and Young’s modulus E. Members AB and BC both have a square cross-section of side a. A load P is applied at point C as shown in the figure.

Q.

Neglecting the axial compression of member AB, the deflection of point C in the direction of the
load is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 84

A frame ABC is shown in the Figure. Members AB and BC both have a length of L, and Young’s modulus E. Members AB and BC both have a square cross-section of side a. A load P is applied at point C as shown in the figure.

Q.

The maximum bending stress in the frame is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 85

Common Data for Questions 85 and 86.

At a point in an object subjected to plane stress conditions, the state of stress is as shown in the Figure

Q.

One of the principal stresses(in MPa) is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 86

At a point in an object subjected to plane stress conditions, the state of stress is as shown in the Figure.

Q.

The normal stress on the plane AB (in MPa) is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 87

Statement for linked answer questions 87 and 88

Two rods are joined together and the entire assembly is supported between two rigid walls, as shown in the Figure. The cross-sectional area and Young’s modulus for both the rods are 0.01 m2 and 10 GPa, respectively. The coefficients of thermal expansion for the two rods are α1= 4 × 10-6 /0C and α2 = 10-6 /0C, respectively. The entire assembly is heated by 1000 C. Neglect the effect of Poisson’s ratio.

Q.

The stress in rod 1 (in MPa) is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 88

Two rods are joined together and the entire assembly is supported between two rigid walls, as shown in the Figure. The cross-sectional area and Young’s modulus for both the rods are 0.01 m2 and 10 GPa, respectively. The coefficients of thermal expansion for the two rods are α1= 4 × 10-6 /0C and α2 = 10-6 /0C, respectively. The entire assembly is heated by 1000 C. Neglect the effect of Poisson’s ratio.

Q.

Considering the displacement to the right as positive, the displacement (in mm) of the interface
between the two rods is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 89

Notation used:
p-pressure, V- volume, T-temperature, S- entropy, H- enthalpy, U- internal energy G- Gibbs free energy.
Specific properties are designated by lower case symbols.

Useful data:
Universal gas constant (R)= 8.314 J/mol K
Acceleration due to gravity = 9.81 m/s2
Molecular masses in kg/kmol: Mair = 29, Mnitrogen=28, Mwater=18, Mhelium=4
Ratio of ideal gas specific heats :γai=1.4
cp for water = 4.186 kJ/kg K
Vapour pressure equation for water in the temperature range of 5 to100 oC , with p in kPa and T in K

Q. 89 – Q. 97carry one mark each.

Q.

The measured temperature of a system is 30oC.Its exact absolute temperature in K is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 90

The fuel air mixture in a pertrol engine is ignited with a spark plug at the end of compression
stroke. This process

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 91

In the van der Waals equation of state given below:

The constant a represents the effect of

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 92

For a reversible isothermal expansion of an ideal gas from a state 1 to a state 2,

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 93

For a pure substance the critical isotherm on the p-v plane exhibits

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 94

For an ideal gas as a working fluid for a given heat input Q, the process that gives the maximum
work among the following four processes is

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 95

An air standard Otto cycle has the following shape on a thermodynamic property plane.

The x and y coordinates, respectively, are

*Answer can only contain numeric values
XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 96

The specific volume of steam after expansion in a turbine is 12 m3/kg. At this pressure the saturated
liquid and saturated vapour specific volumes are 0.001 and 15.25 m3/kg respectively. What is the
dryness fraction to second decimal place accuracy? _________


XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 97

Which of the following processes, shown in the figure below, represents the throttling of an ideal
gas?

XE Engineering Science- 2013 GATE Paper (Practice Test) - Question 98