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GATE2017 ME-1: 37
Two black surfaces, AB and BC, of lengths $5$ m and $6$ m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor $F_{12}=0.5, T_{1}=800 K, T_{2}=600 K, T_{\text{surrounding}}=300 K$ and Stefan- ... $2$ to the surrounding environment is _______ kW.
Two black surfaces, AB and BC, of lengths $5$ m and $6$ m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view ...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Heat Transfer
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2017 ME-1: 36
Air contains $79\%$ $N_{2}$ and $21\%$ $O_{2}$ on a molar basis. Methane $(CH_{4})$ is burned with $50\%$ excess air than required stoichiometrically. Assuming complete combustion of methane, the molar percentage of $N_{2}$ in the products is _______.
Air contains $79\%$ $N_{2}$ and $21\%$ $O_{2}$ on a molar basis. Methane $(CH_{4})$ is burned with $50\%$ excess air than required stoichiometrically. Assuming complete c...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applications
gateme-2017-set1
numerical-answers
applications
fluid-mechanics-and-thermal-science
+
–
0
answers
0
votes
GATE2017 ME-1: 35
Moist air is treated as an ideal gas mixture of water vapour and dry air (molecular weight of air$= 28.84$ and molecular weight of water $=18$). At a location, the total pressure is $100$ kPa, the temperature is $30^{\circ}$ C and the relative humidity is ... saturation pressure of water at $30^{\circ} C$ is $4246$ Pa, the mass of water vapour per kg of dry air is _________ grams.
Moist air is treated as an ideal gas mixture of water vapour and dry air (molecular weight of air$= 28.84$ and molecular weight of water $=18$). At a location, the total ...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applications
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
+
–
0
answers
0
votes
GATE2017 ME-1: 34
The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet temperature to the turbine is $1200$ K and the isentropic efficiency is $0.9$, the gas temperature at turbine exit is ________ $K$
The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applications
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
turbomachinery
+
–
0
answers
0
votes
GATE2017 ME-1: 33
One kg of an ideal gas (gas constant, $R= 400 J/kg.K$; specific heat at constant volume, $c_{v}=1000 J/kg.K$) at $1$ bar, and $300$ K is contained in a sealed rigid cylinder. During an adiabatic process, $100$ kJ of work is done on the system by a stirrer. The increase in entropy of the system is _______ $J/K$.
One kg of an ideal gas (gas constant, $R= 400 J/kg.K$; specific heat at constant volume, $c_{v}=1000 J/kg.K$) at $1$ bar, and $300$ K is contained in a sealed rigid cylin...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applications
gateme-2017-set1
numerical-answers
applications
fluid-mechanics-and-thermal-science
+
–
0
answers
0
votes
GATE2017 ME-1: 32
For a steady flow, the velocity field is $\vec{V}=(-x^{2}+3y)\hat{i}+(2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1, -1)$ is $2$ $1$ $2\sqrt{5}$ $0$
For a steady flow, the velocity field is $\vec{V}=(-x^{2}+3y)\hat{i}+(2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1, -1)$ is$2$$1$$2\sqrt{5}$$0$
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2017 ME-1: 31
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, $f=K(Re)^{-n}$, where ... $\left ( \dfrac{d_{2}}{d_{1}} \right )^{(5+n)}$
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length an...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2017 ME-1: 30
The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, where $U_{\infty}$ is the free stream velocity and $\delta$ is the local boundary layer thickness. If $\delta^{*}$ is ... $\dfrac{2}{\Pi } \\$ $1-\dfrac{2}{\Pi } \\$ $1+\dfrac{2}{\Pi } \\$ $0$
The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, w...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
boundary-layer
fluid-mechanics
fluid-mechanics-and-thermal-science
+
–
0
answers
0
votes
GATE2017 ME-1: 29
$P(0, 3), Q (0.5, 4)$ and $R(1, 5)$ are three points on the curve defined by $f(x)$. Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits $x=0$ and $x=1$ for the curve. The difference between the two results will be $0$ $0.25$ $0.5$ $1$
$P(0, 3), Q (0.5, 4)$ and $R(1, 5)$ are three points on the curve defined by $f(x)$. Numerical integration is carried out using both Trapezoidal rule and Simpson's rule w...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Numerical Methods
gateme-2017-set1
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE2017 ME-1: 28
A parametric curve defined by $x= \cos \left ( \dfrac{\Pi u}{2} \right ), y= \sin \left ( \dfrac{\Pi u}{2} \right )$ in the range $0 \leq u \leq 1$ is rotated about the $X$-axis by $360$ degrees. Area of the surface generated is $\dfrac{\Pi }{2} \\$ $\pi \\$ $2 \pi \\$ $4 \pi$
A parametric curve defined by $x= \cos \left ( \dfrac{\Pi u}{2} \right ), y= \sin \left ( \dfrac{\Pi u}{2} \right )$ in the range $0 \leq u \leq 1$ is rotated about the $...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Calculus
gateme-2017-set1
calculus
area-under-curve
+
–
0
answers
0
votes
GATE2017 ME-1: 27
For the vector $\vec{V}=2yz\hat{i}+3xz \hat{j}+4xy \hat{k}$, the value of $\bigtriangledown$. $(\bigtriangledown \times \vec{V})$ is ________.
For the vector $\vec{V}=2yz\hat{i}+3xz \hat{j}+4xy \hat{k}$, the value of $\bigtriangledown$. $(\bigtriangledown \times \vec{V})$ is ________.
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Calculus
gateme-2017-set1
numerical-answers
calculus
vector-identities
+
–
0
answers
0
votes
GATE2017 ME-1: 26
Consider the matrix $P=\begin{bmatrix} \dfrac{1}{\sqrt{2}} & 0 &\dfrac{1}{\sqrt{2}} \\ 0 & 1 & 0\\ -\dfrac{1}{\sqrt{2}} &0 & \dfrac{1}{\sqrt{2}} \end{bmatrix}$ Which one of the following statements about $P$ is INCORRECT ? Determinant of P is equal to $1$. $P$ is orthogonal. Inverse of $P$ is equal to its transpose. All eigenvalues of $P$ are real numbers.
Consider the matrix $P=\begin{bmatrix} \dfrac{1}{\sqrt{2}} & 0 &\dfrac{1}{\sqrt{2}} \\ 0 & 1 & 0\\ -\dfrac{1}{\sqrt{2}} &0 & \dfrac{1}{\sqrt{2}}\end{bmatrix}$ Which one ...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Linear Algebra
gateme-2017-set1
linear-algebra
matrices
eigen-values
+
–
1
answers
0
votes
GATE2017 ME-1: 25
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to Yield stress Proportional limit Maximum stress Fracture stress
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers toYield stressProportional limitMaximum stressFracture stress
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2017 ME-1: 24
Metric thread of $0.8$ mm pitch is to be cut on a lathe. Pitch of the lead screw is $1.5$ mm. If the spindle rotates at $1500$ rpm, the speed of rotation of the lead screw (rpm) will be ________.
Metric thread of $0.8$ mm pitch is to be cut on a lathe. Pitch of the lead screw is $1.5$ mm. If the spindle rotates at $1500$ rpm, the speed of rotation of the lead scre...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2017-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
+
–
0
answers
0
votes
GATE2017 ME-1: 23
In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross-sectional area of the weld bead will Increase by $25\%$ Increase by $50\%$ Reduce by $25\%$ Reduce by $50\%$
In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross-sectional area of the weld bead will Increase by $25\...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2017-set1
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
principles-of-welding
+
–
0
answers
0
votes
GATE2017 ME-1: 22
Match the processes with their characteristics: ... $P-3, Q-2, R-1, S-4$ $P-3, Q-2, R-4, S-1$ $P-2, Q-4, R-3, S-1$
Match the processes with their characteristics:$\begin{array}{|l|l|l|} \hline & \textbf{Process} & & \textbf{Characteristics} \\ \hline P. & \text{Electrical Discharge Ma...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2017-set1
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
+
–
0
answers
0
votes
GATE2017 ME-1: 21
In a metal forming operation when the material has just started yielding. the principal stresses are $\sigma_{1}=+180 MPa, \sigma_{2}=-100 MPa, \sigma_{3}=0$. Following von Mises' criterion, the yield stress is _________ MPa.
In a metal forming operation when the material has just started yielding. the principal stresses are $\sigma_{1}=+180 MPa, \sigma_{2}=-100 MPa, \sigma_{3}=0$. Following v...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2017 ME-1: 20
Cylindrical pins of diameter $15^{\pm0.020}$ mm are being produced on a machine. Statistical quality control tests show a mean of $14.995$ mm and standard deviation of $0.004$ mm. The process capability index $Cp$ is $0.833$ $1.667$ $3.333$ $3.750$
Cylindrical pins of diameter $15^{\pm0.020}$ mm are being produced on a machine. Statistical quality control tests show a mean of $14.995$ mm and standard deviation of $0...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Machine Design
gateme-2017-set1
machine-design
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–
0
answers
0
votes
GATE2017 ME-1: 19
Consider the schematic of a riveted lap joint subjected to tensile load $F$, as shown below. Let $d$ be the diameter of the rivets, and $S_{f}$ be the maximum permissible tensile stress in the plates. What should be the minimum value for the thickness of the plates to guard against tensile failure of ... $\dfrac{F}{S_{f}W} \\$ $\dfrac{F}{S_{f}(W-d)} \\$ $\dfrac{2F}{S_{f}W}$
Consider the schematic of a riveted lap joint subjected to tensile load $F$, as shown below. Let $d$ be the diameter of the rivets, and $S_{f}$ be the maximum permissible...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
machine-design
riveted-and-welded-joints
+
–
0
answers
0
votes
GATE2017 ME-1: 18
The damping ratio for a viscously damped spring-mass system, governed by the relationship $m \dfrac{d^{2}x}{dt^{2}}+c\dfrac{dx}{dt}+kx=F(t)$, is given by $\sqrt{\dfrac{c}{mk}} \\$ $\dfrac{c}{2\sqrt{km}} \\$ $\dfrac{c}{\sqrt{km}} \\$ $\sqrt{\dfrac{c}{2mk}}$
The damping ratio for a viscously damped spring-mass system, governed by the relationship $m \dfrac{d^{2}x}{dt^{2}}+c\dfrac{dx}{dt}+kx=F(t)$, is given by$\sqrt{\dfrac{c}{...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
machine-design
springs
+
–
0
answers
0
votes
GATE2017 ME-1: 17
The following figure shows the velocity-time plot for a particle travelling along a straight line. The distance covered by the particle from $t=0$ to $t=5$s is __________ m.
The following figure shows the velocity-time plot for a particle travelling along a straight line. The distance covered by the particle from $t=0$ to $t=5$s is __________...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2017 ME-1: 16
Consider a beam with circular cross-section of diameter $d$. The ratio of the second moment of area about the neutral axis to the section modulus of the area is $\dfrac{d}{2} \\$ $\dfrac{\pi d}{2} \\$ $d \\$ $\pi d$
Consider a beam with circular cross-section of diameter $d$. The ratio of the second moment of area about the neutral axis to the section modulus of the area is$\dfrac{d}...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE2017 ME-1: 15
A motor driving a solid circular steel shaft transmits $40$ kW of power at $500$ rpm. If the diameter of the shaft is $40$ mm, the maximum shear stress in the shaft is _____________MPa.
A motor driving a solid circular steel shaft transmits $40$ kW of power at $500$ rpm. If the diameter of the shaft is $40$ mm, the maximum shear stress in the shaft is __...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2017 ME-1: 14
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by $r(t)=t^{2}, \theta (t)=t$, where $t$ is time. The Kinetic energy of the particle at time $t=2$ is $4$ $12$ $16$ $24$
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by $r(t)=t^{2}, \theta (t)=t$, where $t$ is time. The Kinetic energy of the p...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
engineering-mechanics
+
–
1
answers
0
votes
GATE2017 ME-1: 13
The Poisson's ratio for a perfectly incompressible linear elastic material is $1$ $0.5$ $0$ Infinity
The Poisson's ratio for a perfectly incompressible linear elastic material is$1$$0.5$$0$Infinity
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
+
–
0
answers
0
votes
GATE2017 ME-1: 12
A heat pump absorbs $10$kW of heat from outside environment at $250$ K while absorbing $15$ kW of work. It delivers the heat to a room that must be kept warm at $300$ K. The Coefficient of Performance (COP) of the heat pump is ________.
A heat pump absorbs $10$kW of heat from outside environment at $250$ K while absorbing $15$ kW of work. It delivers the heat to a room that must be kept warm at $300$ K. ...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Heat Transfer
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2017 ME-1: 11
The molar specific heat at constant volume of an ideal gas is equal to $2.5$ times the universal gas constant ($8.314$ J/mol.K). When the temperature increases by $100$K, the change in molar specific enthalpy is __________ J/mol.
The molar specific heat at constant volume of an ideal gas is equal to $2.5$ times the universal gas constant ($8.314$ J/mol.K). When the temperature increases by $100$K,...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Heat Transfer
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2017 ME-1: 10
Saturated steam at $100^{\circ} C$ condenses on the outside of a tube. Cold fluid enters the tube at $20^{\circ} C$ and exits at $50^{\circ} C$. The value of the Log mean Temperature Difference (LMTD) is ________ $^{\circ}$ C.
Saturated steam at $100^{\circ} C$ condenses on the outside of a tube. Cold fluid enters the tube at $20^{\circ} C$ and exits at $50^{\circ} C$. The value of the Log mean...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Heat Transfer
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2017 ME-1: 9
Which one of the following is NOT a rotating machine? Centrifugal pump Gear pump Jet pump Vane pump
Which one of the following is NOT a rotating machine?Centrifugal pumpGear pumpJet pumpVane pump
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2017 ME-1: 8
Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the pipe is $100$ KPa, the minimum power required to pump the water across the pipe, in watts, is ______.
Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
+
–
0
answers
0
votes
GATE2017 ME-1: 7
Consider the two-dimensional velocity field given by $\overrightarrow{V}=(5+a_{1}x+b_{1}y)\hat{i}+(4+a_{2}x+b_{2}y)\hat{j}$, where $a_{1}, b_{1}, a_{2}$ and $b_{2}$ are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible? $a_{1}+b_{1}=0$ $a_{1}+b_{2}=0$ $a_{2}+b_{2}=0$ $a_{2}+b_{1}=0$
Consider the two-dimensional velocity field given by $\overrightarrow{V}=(5+a_{1}x+b_{1}y)\hat{i}+(4+a_{2}x+b_{2}y)\hat{j}$, where $a_{1}, b_{1}, a_{2}$ and $b_{2}$ are c...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2017 ME-1: 6
For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE? ... the flow is fully developed. It is constant but is always lower than the average velocity in the fully developed region.
For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one ...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Fluid Mechanics
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
+
–
0
answers
0
votes
GATE2017 ME-1: 5
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________.
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________.
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Probability and Statistics
gateme-2017-set1
numerical-answers
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2017 ME-1: 4
The differential equation $\dfrac{d^{2}y}{dx^{2}}+16y=0$ for $y(x)$ with the two boundary conditions $\dfrac{dy}{dx}\bigg \vert _{x=0}=1$ and $\dfrac{dy}{dx}\bigg \vert_{x=\displaystyle \frac{\pi}{2}}=-1$ has. No solution. Exactly two solutions. Exactly one solution. Infinitely many solutions.
The differential equation $\dfrac{d^{2}y}{dx^{2}}+16y=0$ for $y(x)$ with the two boundary conditions $\dfrac{dy}{dx}\bigg \vert _{x=0}=1$ and $\dfrac{dy}{dx}\bigg \vert_{...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Differential Equations
gateme-2017-set1
differential-equations
initial-and-boundary-value-problems
+
–
0
answers
0
votes
GATE2017 ME-1: 3
Consider the following partial differential equation for $u(x, y)$, with the constant $c > 1$: $\dfrac{\partial u}{\partial y}+c\dfrac{\partial u}{\partial x}=0$ Solution of this equation is $u(x, y) = f (x+cy)$ $u(x, y) = f (x-cy)$ $u(x, y) = f (cx+y)$ $u(x, y) = f (cx-y)$
Consider the following partial differential equation for $u(x, y)$, with the constant $c 1$:$\dfrac{\partial u}{\partial y}+c\dfrac{\partial u}{\partial x}=0$Solution of...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Differential Equations
gateme-2017-set1
differential-equations
partial-differential-equation
+
–
0
answers
0
votes
GATE2017 ME-1: 2
The value of $\displaystyle{}\lim_{x \rightarrow 0}\dfrac{x^{3}-\sin(x)}{x}$ is $0$ $3$ $1$ $-1$
The value of $\displaystyle{}\lim_{x \rightarrow 0}\dfrac{x^{3}-\sin(x)}{x}$ is$0$$3$$1$$-1$
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Calculus
gateme-2017-set1
calculus
limits
+
–
0
answers
0
votes
GATE2017 ME-1: 1
The product of eigenvalues of the matrix $P$ is $P=\begin{bmatrix} 2 & 0 & 1\\ 4& -3 &3 \\ 0 & 2 & -1 \end{bmatrix}$ $-6$ $2$ $6$ $-2$
The product of eigenvalues of the matrix $P$ is$P=\begin{bmatrix}2 & 0 & 1\\ 4& -3 &3 \\ 0 & 2 & -1\end{bmatrix}$$-6$$2$$6$$-2$
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Linear Algebra
gateme-2017-set1
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 3 | GA Question: 10
A wire of length $340$ $mm$ is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. What is the length of the side of the square (in $mm$) such that the combined area of the square and the rectangle is a $\textbf{MINIMUM}$? $30$ $40$ $120$ $180$
A wire of length $340$ $mm$ is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set3
numerical-ability
geometry
area
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 3 | GA Question: 9
$\textbf{M}$ and $\textbf{N}$ starts from same location.$\textbf{M}$ travels $10$ $km$ East then $10$ $km$ North-East. $\textbf{N}$ travels $5$ $km$ South then $4$ $km$ South-East.What is the shortest distance (in $km$) between $\textbf{M}$ and $\textbf{N}$ at the end of their travel? $18.60$ $22.50$ $20.61$ $25.00$
$\textbf{M}$ and $\textbf{N}$ starts from same location.$\textbf{M}$ travels $10$ $km$ East then $10$ $km$ North-East. $\textbf{N}$ travels $5$ $km$ South then $4$ $km$ S...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Analytical Aptitude
gateme-2016-set3
analytical-aptitude
direction-sense
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 3 | GA Question: 8
Two and a quarter hours back,when seen in the mirror,the reflection of the wall clock without number marking seemed to show $1:30$.what is the actual current time shown by the clock? $8:15$ $11:15$ $12:15$ $12:45$
Two and a quarter hours back,when seen in the mirror,the reflection of the wall clock without number marking seemed to show $1:30$.what is the actual current time shown b...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set3
numerical-ability
clock-time
+
–
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