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GATE Mechanical 2014 Set 3 | Question: 41
A certain amount of an ideal gas is initially at a pressure $p_1$ and temperature $T_1$. First, it undergoes a constant pressure process $1$-$2$ such that $T_2$ = $3T_1$/$4$. Then, it undergoes a constant volume process $2$-$3$ such that $T_3$ = $T_1$/$2$. The ratio of the final volume to the initial volume of the ideal gas is $0.25$ $0.75$ $1.0$ $1.5$
A certain amount of an ideal gas is initially at a pressure $p_1$ and temperature $T_1$. First, it undergoes a constant pressure process $1$-$2$ such that $T_2$ = $3T_1$/...
asked
Feb 19, 2017
Applications
gateme-2014-set3
fluid-mechanics-and-thermal-science
applications
power-engineering
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0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 42
An amount of $100 \: kW$ of heat is transferred through a wall in steady state. One side of the wall is maintained at $127^{\circ} \: C$ and the other side at $27^{\circ} \: C$. The entropy generated (in $W/K$) due to the heat transfer through the wall is _______
An amount of $100 \: kW$ of heat is transferred through a wall in steady state. One side of the wall is maintained at $127^{\circ} \: C$ and the other side at $27^{\circ}...
asked
Feb 19, 2017
Heat Transfer
gateme-2014-set3
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
heat-exchanger
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 43
A siphon is used to drain water from a large tank as shown in the figure below. Assume that the level of water is maintained constant. Ignore frictional effect due to viscosity and losses at entry,and exit. At the exit of the siphon, the velocity of water is $\sqrt{2g(Z_Q-Z_R)} \\$ $\sqrt{2g(Z_P-Z_R)} \\$ $\sqrt{2g(Z_O-Z_R)} \\$ $\sqrt{2gZ_Q}$
A siphon is used to drain water from a large tank as shown in the figure below. Assume that the level of water is maintained constant. Ignore frictional effect due to vis...
asked
Feb 19, 2017
Fluid Mechanics
gateme-2014-set3
fluid-mechanics-and-thermal-science
fluid-mechanics
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0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 44
Heat transfer through a composite wall is shown in figure. Both the sections of the wall have equal thickness $(l)$. The conductivity of one section is $k$ and that of the other is $2k$. The left face of the wall is at $600$ $K$ and the right face is at $300$ $K$. The interface temperature $T_i$ (in $K$) of the composite wall is _______
Heat transfer through a composite wall is shown in figure. Both the sections of the wall have equal thickness $(l)$. The conductivity of one section is $k$ and that of th...
asked
Feb 19, 2017
Heat Transfer
gateme-2014-set3
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 45
A fluid of dynamic viscosity $2 × 10^{−5}$ $kg/m.s$ and density $1$ $kg/m^3$ flows with an average velocity of $1$ $m/s$ through a long duct of rectangular ($25$ $mm$ × $15$ $mm$) cross-section. Assuming laminar flow, the pressure drop (in $Pa$) in the fully developed region per meter length of the duct is _______
A fluid of dynamic viscosity $2 × 10^{−5}$ $kg/m.s$ and density $1$ $kg/m^3$ flows with an average velocity of $1$ $m/s$ through a long duct of rectangular ($25$ $mm$ ...
asked
Feb 19, 2017
Fluid Mechanics
gateme-2014-set3
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 46
At the inlet of an axial impulse turbine rotor, the blade linear speed is $25 \: m/s$, the magnitude of absolute velocity is $100 \: m/s$ and the angle between them is $25^{\circ}$. The relative velocity and the axial component ... blade inlet and outlet velocity triangles are shown in the figure. Assuming no losses, the specific work (in $J/kg$) is _______
At the inlet of an axial impulse turbine rotor, the blade linear speed is $25 \: m/s$, the magnitude of absolute velocity is $100 \: m/s$ and the angle between them is $2...
asked
Feb 19, 2017
Applications
gateme-2014-set3
numerical-answers
fluid-mechanics-and-thermal-science
applications
turbomachinery
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 47
A solid sphere of radius $r_1 = 20$ $mm$ is placed concentrically inside a hollow sphere of radius $r_2 = 30$ $mm$ as shown in the figure. The view factor $F_{21}$ for radiation heat transfer is $\dfrac{2}{3} \\$ $\dfrac{4}{9} \\$ $\dfrac{8}{27} \\$ $\dfrac{9}{4}$
A solid sphere of radius $r_1 = 20$ $mm$ is placed concentrically inside a hollow sphere of radius $r_2 = 30$ $mm$ as shown in the figure.The view factor $F_{21}$ for ra...
asked
Feb 19, 2017
Heat Transfer
gateme-2014-set3
fluid-mechanics-and-thermal-science
heat-transfer
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 20
A straight turning operation is carried out using a single point cutting tool on an AISI $1020$ steel rod. The feed is $0.2$ $mm/rev$ and the depth of cut is $0.5$ $mm$. The tool has a side cutting edge angle of $60^{\circ}$. The uncut chip thickness (in $mm$) is _______
A straight turning operation is carried out using a single point cutting tool on an AISI $1020$ steel rod. The feed is $0.2$ $mm/rev$ and the depth of cut is $0.5$ $mm$. ...
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2014-set3
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
tool-life-and-wear
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 21
A minimal spanning tree in network flow models involves all the nodes with cycle/loop allowed all the nodes with cycle/loop not allowed shortest path between start and end nodes all the nodes with directed arcs
A minimal spanning tree in network flow models involvesall the nodes with cycle/loop allowedall the nodes with cycle/loop not allowedshortest path between start and end n...
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Feb 19, 2017
Operations Research
gateme-2014-set3
network-flow-models
operations-research
materials-manufacturing-and-industrial-engineering
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0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 22
Match the casting defects (Group A) with the probable causes (Group B): ... $P-4, Q-3, R-2, S-1$ $P-3, Q-4, R-2, S-1$ $P-1, Q-2, R-4, S-3$
Match the casting defects (Group A) with the probable causes (Group B):$\begin{array}{|l|l|}\hline \textbf{Group A} & \textbf{Group B} \\ \hline \text{P: Hot tears} & ...
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2014-set3
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
different-types-of-casting
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 23
Cutting tool is much harder than the workpiece. Yet the tool wears out during the tool-work interaction, because extra hardness is imparted to the workpiece due to coolant used oxide layers on the workpiece surface impart extra hardness to it extra hardness is imparted to the workpiece due to severe rate of strain vibration is induced in the machine tool
Cutting tool is much harder than the workpiece. Yet the tool wears out during the tool-work interaction, becauseextra hardness is imparted to the workpiece due to coolant...
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2014-set3
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
tool-geometry-and-materials
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 24
The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table. ... $P-3, Q-4, R-1, S-5,T-2, U-6$ $P-4, Q-1, R-5, S-2,T-3, U-6$
The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table.$\begin{array}{|l|l|}\hline \textb...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
applied-mechanics-and-design
mechanics-of-materials
stress-strain
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 25
The hot tearing in a metal casting is due to high fluidity high melt temperature wide range of solidification temperature low coefficient of thermal expansion
The hot tearing in a metal casting is due tohigh fluidityhigh melt temperaturewide range of solidification temperaturelow coefficient of thermal expansion
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2014-set3
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
solidification-and-cooling
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0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 26
An analytic function of a complex variable $z = x + i y$ is expressed as $f (z) = u(x, y) + i v(x, y)$ , where $i=\sqrt{-1}$ . If $u(x, y) = x^2 − y^2$ , then expression for $v(x, y)$ in terms of $x$, $y$ and a general constant $c$ would be $xy + c \\$ $\dfrac{x^2+y^2}{2}+c \\$ $2xy+c \\$ $\dfrac{(x-y)^2}{2}+c$
An analytic function of a complex variable $z = x + i y$ is expressed as $f (z) = u(x, y) + i v(x, y)$ , where $i=\sqrt{-1}$ . If $u(x, y) = x^2 − y^2$ , then expressi...
asked
Feb 19, 2017
Calculus
gateme-2014-set3
calculus
complex-variables
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0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 27
Consider two solutions $x(t)=x_1(t)$ and $x(t)=x_2(t)$ of the differential equation $\dfrac{d^2x(t)}{dt^2}+x(t)=0, \: t>0$ such that $x_1(0)=1, \dfrac{dx_1(t)}{dt} \bigg \vert_{t=0}=0$, $x_2(0)=0, \dfrac{dx_2(t)}{dt}\bigg \vert _{t=0}=1$. The ... $t=\pi /2$ is $1$ $-1$ $0$ $\pi /2$
Consider two solutions $x(t)=x_1(t)$ and $x(t)=x_2(t)$ of the differential equation $\dfrac{d^2x(t)}{dt^2}+x(t)=0, \: t>0$ such that $x_1(0)=1, \dfrac{dx_1(t)}{dt} \bigg ...
asked
Feb 19, 2017
Differential Equations
gateme-2014-set3
differential-equations
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 28
A machine produces $0$, $1$ or $2$ defective pieces in a day with associated probability of $1/6$, $2/3$ and $1/6$, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are $1$ and $1/3$ $1/3$ and $1$ $1$ and $4/3$ $1/3$ and $4/3$
A machine produces $0$, $1$ or $2$ defective pieces in a day with associated probability of $1/6$, $2/3$ and $1/6$, respectively. The mean value and the variance of the n...
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2014-set3
materials-manufacturing-and-industrial-engineering
production-planning-and-control
materials-requirement-planning
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 29
The real root of the equation $5x − 2 \cos x −1 = 0$ (up to two decimal accuracy) is _______
The real root of the equation $5x − 2 \cos x −1 = 0$ (up to two decimal accuracy) is _______
asked
Feb 19, 2017
Calculus
gateme-2014-set3
numerical-answers
calculus
functions
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 30
A drum brake is shown in the figure. The drum is rotating in anticlockwise direction. The coefficient of friction between drum and shoe is $0.2$. The dimensions shown in the figure are in $mm$. The braking torque (in $N.m$) for the brake shoe is _______
A drum brake is shown in the figure. The drum is rotating in anticlockwise direction. The coefficient of friction between drum and shoe is $0.2$. The dimensions shown in ...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
numerical-answers
applied-mechanics-and-design
machine-design
brakes
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 31
A body of mass (M) $10$ $kg$ is initially stationary on a $45^{\circ}$ inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is $0.5$. The body slides down the plane and attains a velocity of $20 m/s$. The distance traveled (in meter) by the body along the plane is _______
A body of mass (M) $10$ $kg$ is initially stationary on a $45^{\circ}$ inclined plane as shown in figure. The coefficient of dynamic friction between the body and the pla...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
numerical-answers
theory-of-mechanics
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 32
Consider a simply supported beam of length, $50h$, with a rectangular cross-section of depth, $h$, and width, $2h$. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is $0.02$ $0.10$ $0.05$ $0.01$
Consider a simply supported beam of length, $50h$, with a rectangular cross-section of depth, $h$, and width, $2h$. The beam carries a vertical point load, P, at its mid-...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 33
The damping ratio of a single degree of freedom spring-mass-damper system with mass of $1 kg$, stiffness $100 N/m$ and viscous damping coefficient of $25 N.s/m$ is _______
The damping ratio of a single degree of freedom spring-mass-damper system with mass of $1 kg$, stiffness $100 N/m$ and viscous damping coefficient of $25 N.s/m$ is ______...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
numerical-answers
applied-mechanics-and-design
machine-design
springs
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 6
A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is $100$ $MPa$. If the yield, ultimate and corrected endurance strength of the shaft material are $300$ $MPa$, $500$ $MPa$ and $200$ $MPa$, respectively, then the factor of safety for the shaft is _______
A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is $100$ $MPa$. If the yield, ultimat...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
torsion-of-circular-shafts
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 7
Two solid circular shafts of radii $R_1$ and $R_2$ are subjected to same torque. The maximum shear stresses developed in the two shafts are $\tau _1$ and $\tau _2$. If $R_1$/ $R_2$=$2$, then $\tau _2/\tau _1$ is _______
Two solid circular shafts of radii $R_1$ and $R_2$ are subjected to same torque. The maximum shearstresses developed in the two shafts are $\tau _1$ and $\tau _2$. If $R_...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
shear-stress
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 8
Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is $0$ $45$ $90$ $135$
Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to...
asked
Feb 19, 2017
Vibrations
gateme-2014-set3
effect-of-damping
vibrations
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 9
A mass $m_1$ of $100$ $kg$ traveling with a uniform velocity of $5$ $m/s$ along a line collides with a stationary mass $m_2$ of $1000$ $kg$. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is $0.6$ $0.1$ $0.01$ $0$
A mass $m_1$ of $100$ $kg$ traveling with a uniform velocity of $5$ $m/s$ along a line collides with a stationary mass $m_2$ of $1000$ $kg$. After the collision, both the...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
theory-of-mechanics
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 10
Which one of following is NOT correct? Intermediate principal stress is ignored when applying the maximum principal stress theory The maximum shear stress theory gives the most accurate results amongst all the failure theories As per ... the maximum distortion energy theory, failure occurs when the distortion energy per unit volume exceeds a critical value
Which one of following is NOT correct?Intermediate principal stress is ignored when applying the maximum principal stress theoryThe maximum shear stress theory gives the ...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
applied-mechanics-and-design
mechanics-of-materials
stress-strain
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 11
Gear $2$ rotates at $1200$ $rpm$ in counter clockwise direction and engages with Gear $3$. Gear $3$ and Gear $4$ are mounted on the same shaft. Gear $5$ engages with Gear $4$. The numbers of teeth on Gears $2$, $3$, $4$ ... angular speed of Gear $5$ is $300$ $rpm$ counterclockwise $300$ $rpm$ clockwise $4800$ $rpm$ counterclockwise $4800$ $rpm$ clockwise
Gear $2$ rotates at $1200$ $rpm$ in counter clockwise direction and engages with Gear $3$. Gear $3$ and Gear $4$ are mounted on the same shaft. Gear $5$ engages with Gear...
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set3
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 12
Consider a long cylindrical tube of inner and outer radii, $r_i$ and $r_o$ , respectively, length, $L$ and thermal conductivity, $k$. Its inner and outer surfaces are maintained at $T_i$ and $T_o$ , respectively ( $T_i > T_o$ ). Assuming one-dimensional steady ... $\dfrac{1}{4\pi kL}\ln \bigg (\dfrac{r_o}{r_i} \bigg )$
Consider a long cylindrical tube of inner and outer radii, $r_i$ and $r_o$ , respectively, length, $L$ and thermal conductivity, $k$. Its inner and outer surfaces are mai...
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set3
thin-cylinders
mechanics-of-materials
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 13
Which one of the following pairs of equations describes an irreversible heat engine? $\oint \delta Q> 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$ $\oint \delta Q< 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$ $\oint \delta Q> 0$ and $\oint \dfrac{\delta Q}{T} > 0 \\$ $\oint \delta Q< 0$ and $\oint \dfrac{\delta Q}{T} > 0$
Which one of the following pairs of equations describes an irreversible heat engine?$\oint \delta Q 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$$\oint \delta Q< 0$ and $\oin...
asked
Feb 19, 2017
Applications
gateme-2014-set3
fluid-mechanics-and-thermal-science
applications
i
c-engines
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 14
Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements. The fluid is well-mixed The fluid is unmixed $Re_D$ < $2300$ $Re_D$ > $2300$ $I, III$ $II, IV$ $II, III$ $I, IV$
Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements.The fluid is well-mixedThe fluid is unmixed$Re_D$ <...
asked
Feb 19, 2017
Applications
gateme-2014-set3
fluid-mechanics-and-thermal-science
applications
turbomachinery
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 15
For a gas turbine power plant, identify the correct pair of statements. P. Smaller in size compared to steam power plant for same power output Q. Starts quickly compared to steam power plant R. Works on the principle of Rankine cycle S. Good compatibility with solid fuel P, Q R, S Q, R P, S
For a gas turbine power plant, identify the correct pair of statements.P. Smaller in size compared to steam power plant for same power outputQ. Starts quickly compared to...
asked
Feb 19, 2017
Applications
gateme-2014-set3
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 16
A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained from the heat source is _______
A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained fro...
asked
Feb 19, 2017
Heat Transfer
gateme-2014-set3
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 17
A sample of moist air at a total pressure of $85$ $kPa$ has a dry bulb temperature of $30^oC$ (saturation vapour pressure of water = $4.24$ $kPa$). If the air sample has a relative humidity of $65$%, the absolute humidity (in gram) of water vapour per $kg$ of dry air is _______
A sample of moist air at a total pressure of $85$ $kPa$ has a dry bulb temperature of $30^oC$ (saturation vapour pressure of water = $4.24$ $kPa$). If the air sample has ...
asked
Feb 19, 2017
Heat Transfer
gateme-2014-set3
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 18
The process utilizing mainly thermal energy for removing material is Ultrasonic Matching Electrochemical Matching Abrasive Jet Matching Laser Beam Matching
The process utilizing mainly thermal energy for removing material isUltrasonic MatchingElectrochemical Matching Abrasive Jet MatchingLaser Beam Matching
asked
Feb 19, 2017
Engineering Mechanics
gateme-2014-set3
engineering-mechanics
laser-beam-matching
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 19
The actual sales of a product in different months of a particular year are given below: ... $4$-month moving average method, for the month of February is _______
The actual sales of a product in different months of a particular year are given below:$$\begin{array}{|c|c|c|c|c|c|c|}\hline \text{September} & \text{October} & \text{...
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2014-set3
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
linear-programming
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 1
Consider a $3×3$ real symmetric matrix S such that two of its eigenvalues are $a\neq 0$, $b\neq 0$ with respective eigenvectors $\begin{bmatrix} x_1\\ x_2\\ x_3 \end{bmatrix}$, $\begin{bmatrix} y_1\\ y_2\\ y_3 \end{bmatrix}$ If $a\neq b$ then $x_1y_1+x_2y_2+x_3y_3$ equals $a$ $b$ $ab$ $0$
Consider a $3×3$ real symmetric matrix S such that two of its eigenvalues are $a\neq 0$, $b\neq 0$ with respective eigenvectors $\begin{bmatrix} x_1\\ x_2\\ x_3 \end{bma...
asked
Feb 19, 2017
Linear Algebra
gateme-2014-set3
linear-algebra
matrices
eigen-values
eigen-vectors
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 2
If a function is continuous at a point, the limit of the function may not exist at the point the function must be derivable at the point the limit of the function at the point tends to infinity the limit must exist at the point and the value of limit should be same as the value of the function at that point
If a function is continuous at a point,the limit of the function may not exist at the pointthe function must be derivable at the pointthe limit of the function at the poi...
asked
Feb 19, 2017
Calculus
gateme-2014-set3
calculus
limits
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 3
Divergence of the vector field $x_2z\hat{i}+xy\hat{j}-yz\hat{k}$ at $(1,-1,1)$ is $0$ $3$ $5$ $6$
Divergence of the vector field $x_2z\hat{i}+xy\hat{j}-yz\hat{k}$ at $(1,-1,1)$ is$0$$3$$5$$6$
asked
Feb 19, 2017
Calculus
gateme-2014-set3
calculus
vector-identities
divergence-and-curl
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 4
A group consists of equal number of men and women. Of this group $20$% of the men and $50$% of the women are unemployed. If a person is selected at random from this group, the probability of the selected person being employed is _______
A group consists of equal number of men and women. Of this group $20$% of the men and $50$% of the women are unemployed. If a person is selected at random from this group...
asked
Feb 19, 2017
Probability and Statistics
gateme-2014-set3
numerical-answers
probability-and-statistics
probability
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 5
The definite integral $\int_{1}^{3}\dfrac{1}{x}$ is evaluated using Trapezoidal rule with a step size of $1$. The correct answer is _______
The definite integral $\int_{1}^{3}\dfrac{1}{x}$ is evaluated using Trapezoidal rule with a step size of $1$. The correctanswer is _______
asked
Feb 19, 2017
Numerical Methods
gateme-2014-set3
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
engineering-mathematics
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