Questions by Arjun / GO Mechanical

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GATE Mechanical 2014 Set 2 | Question: 25
With respect to metal working, match Group A with Group B: ... $P-III, Q-I, R-VI, S-V$ $P-III, Q-I, R-IV, S-VI$ $P-I, Q-II, R-V, S-VI$

With respect to metal working, match Group A with Group B:$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group A} && \textbf{Group B} \\ \hline P. & \text{Defect in extrusio...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 24
The relationship between true strain ($\epsilon _T$) and engineering strain ($\epsilon _E$) in a uniaxial tension test is given as $\epsilon _E=ln(1+\epsilon _T)$ $\epsilon _E=ln(1-\epsilon _T)$ $\epsilon _T=ln(1+\epsilon _E)$ $\epsilon _T=ln(1-\epsilon _E)$

The relationship between true strain ($\epsilon _T$) and engineering strain ($\epsilon _E$) in a uniaxial tension test is given as$\epsilon _E=ln(1+\epsilon _T)$$\epsilon...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 23
The following four unconventional machining processes are available in a shop floor. The most appropriate one to drill a hole of square cross section of $6$ $mm \times 6$ $mm$ and $25$ $mm$ deep is Abrasive Jet Machining Plasma Arc Machining Laser Beam Machining Electro Discharge Machining

The following four unconventional machining processes are available in a shop floor. The most appropriate one to drill a hole of square cross section of $6$ $mm \times 6$...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 22
Match the Machine Tools (Group A) with the probable Operations (Group B): ... $P-2, Q-1, R-4, S-3$ $P-3, Q-1, R-4, S-2$ $P-3, Q-4, R-2, S-1$

Match the Machine Tools (Group A) with the probable Operations (Group B):$$\begin{array}{|c|c|c|c|} \hline & \textbf{Group A} & & \textbf{Group B} \\ \hline P: & \text{Ce...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 21
A robot arm $PQ$ with end coordinates $P(0,0)$ and $Q(2,5)$ rotates counter clockwise about $P$ in the $XY$ plane by $90^\circ$. The new coordinate pair of the end point Q is $(−2,5)$ $(−5,2)$ $(−5, −2)$ $(2, −5)$

A robot arm $PQ$ with end coordinates $P(0,0)$ and $Q(2,5)$ rotates counter clockwise about $P$ in the $XY$ plane by $90^\circ$. The new coordinate pair of the end point ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 20
The flatness of a machine bed can be measured using Vernier calipers Auto collimator Height gauge Tool maker’s microscope

The flatness of a machine bed can be measured usingVernier calipersAuto collimatorHeight gaugeTool maker’s microscope

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 19
A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The most economical process for producing a batch of $100$ ... $I$ $II$ $III$ $IV$

A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The m...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 18
If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is $m + n$ $m + n + 1$ $m + n − 1$ $m$

If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is$m + n$$m + n + 1$$m + n − ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 17
The difference in pressure (in $N/m^2$) across an air bubble of diameter $0.001$ $m$ immersed in water (surface tension $= 0.072$ $N/m$) is _______

The difference in pressure (in $N/m^2$) across an air bubble of diameter $0.001$ $m$ immersed in water (surface tension $= 0.072$ $N/m$) is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 16
In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ is the temperature difference at the other end. This heat exchanger is a condenser an evaporator a counter flow heat exchanger a parallel flow heat exchanger

In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 15
A pure substance at $8$ $MPa$ and $400^0C$ is having a specific internal energy of $2864$ $kJ/kg$ and a specific volume of $0.03432$ $m^3$/$kg$. Its specific enthalpy (in $kJ/kg$) is _______

A pure substance at $8$ $MPa$ and $400^0C$ is having a specific internal energy of $2864$ $kJ/kg$ and a specific volume of $0.03432$ $m^3$/$kg$. Its specific enthalpy (in...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 14
For an incompressible flow field, $\overrightarrow{V}$, which one of the following conditions must be satisfied? $\bigtriangledown \cdot \overrightarrow{V}=0$ $\bigtriangledown \times \overrightarrow{V}=0$ ... $\frac{\partial \overrightarrow{V}}{\partial t}+(\overrightarrow{V} \cdot \bigtriangledown) \overrightarrow{V}=0$

For an incompressible flow field, $\overrightarrow{V}$, which one of the following conditions must be satisfied?$\bigtriangledown \cdot \overrightarrow{V}=0$$\bigtriangle...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 13
The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio $r_p$ and $\gamma (= c_p /c_v)$ is given by $1-\dfrac{1}{{r_p}^{\gamma -1}} \\$ $1-\dfrac{1}{{r_p}^{\gamma }} \\$ $1-\dfrac{1}{{r_p}^{1/\gamma }} \\$ $1-\dfrac{1}{{r_p}^{(\gamma -1)/\gamma }}$

The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio $r_p$ and $\gamma (= c_p /c_v)$ is given by$1-\dfrac{1}{{r_p}^{\gamma -1}} \\$$1-\dfrac...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 12
For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2$, the average heat transfer coefficient remains same decreases by a factor of $\sqrt{2}$ rises by a factor of $\sqrt{2}$ rises by a factor of $\sqrt{4}$

For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2$, the average heat transfer coefficientremains samedecreases by a...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 11
A thin plate of uniform thickness is subject to pressure as shown in the figure below Under the assumption of plane stress, which one of the following is correct? Normal stress is zero in the z-direction Normal stress is tensile in the z-direction Normal stress is compressive in the z-direction Normal stress varies in the z-direction

A thin plate of uniform thickness is subject to pressure as shown in the figure belowUnder the assumption of plane stress, which one of the following is correct?Normal st...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 10
In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are $200$ $MPa$ and $400$ $MPa$ respectively. The value of stress amplitude (in $MPa$) is _______

In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are $200$ $MPa$ and $400$ $MPa$ respectively. The value of stress ampli...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 9
In vibration isolation, which one of the following statements is NOT correct regarding Transmissibility (T)? T is nearly unity at small excitation frequencies T can be always reduced by using higher damping at any excitation frequency T is unity at the frequency ratio of $\sqrt{2}$ T is infinity at resonance for undamped systems

In vibration isolation, which one of the following statements is NOT correct regarding Transmissibility (T)?T is nearly unity at small excitation frequenciesT can be alwa...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 8
A $4$-bar mechanism with all revolute pairs has link lengths $l_f$ = $20$ $mm$, $l_{\text{in}} = 40$ $mm$, $l_{\text{co}} =50$ $mm$ and $l_{\text{out}} =60$ $mm$ ... motion Both links cannot execute full circular motion Only the output link cannot execute full circular motion Only the input link cannot execute full circular motion

A $4$-bar mechanism with all revolute pairs has link lengths $l_f$ = $20$ $mm$, $l_{\text{in}} = 40$ $mm$, $l_{\text{co}} =50$ $mm$ and $l_{\text{out}} =60$ $mm$. The suf...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 7
A two member truss ABC is shown in the figure. The force (in $kN$) transmitted in member AB is _______

A two member truss ABC is shown in the figure. The force (in $kN$) transmitted in member AB is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 6
A steel cube, with all faces free to deform, has Young's modulus, $E$, Poisson's ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, $\Delta T$, ... $-\dfrac{\alpha (\Delta T)E}{1-2V} \\$ $\dfrac{\alpha (\Delta T)E}{3(1-2V)}$

A steel cube, with all faces free to deform, has Young’s modulus, $E$, Poisson’s ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostati...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 5
The best approximation of the minimum value attained by $e^{-x}\sin(100x)$ for $x\geq 0$ is _______

The best approximation of the minimum value attained by $e^{-x}\sin(100x)$ for $x\geq 0$ is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 4
A box contains $25$ parts of which $10$ are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being good is $\dfrac{7}{20} \\$ $\dfrac{42}{125} \\$ $\dfrac{25}{29} \\$ $\dfrac{5}{9}$

A box contains $25$ parts of which $10$ are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being g...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 3
Curl of vector $\overrightarrow{F}=x^2z^2\hat{i}-2xy^2z\hat{j}+2y^2z^3\hat{k}$ is $(4yz^3+2xy^2)\hat{i}+2x^2z\hat{j}-2y^2z\hat{k}$ $(4yz^3+2xy^2)\hat{i}-2x^2z\hat{j}-2y^2z\hat{k}$ $2xz^2\hat{i}-4xyz\hat{j}+6y^2z^2\hat{k}$ $2xz^2\hat{i}+4xyz\hat{j}+6y^2z^2\hat{k}$

Curl of vector $\overrightarrow{F}=x^2z^2\hat{i}-2xy^2z\hat{j}+2y^2z^3\hat{k}$ is$(4yz^3+2xy^2)\hat{i}+2x^2z\hat{j}-2y^2z\hat{k}$$(4yz^3+2xy^2)\hat{i}-2x^2z\hat{j}-2y^2z\...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 2
$ \displaystyle{}\lim_{x\rightarrow 0} \left( \dfrac{e^{2x}-1}{\sin(4x)} \right )$ is equal to $0$ $0.5$ $1$ $2$

$ \displaystyle{}\lim_{x\rightarrow 0} \left( \dfrac{e^{2x}-1}{\sin(4x)} \right )$ is equal to$0$$0.5$$1$$2$

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 1
One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is $\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$ $\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\$ $\begin{Bmatrix} 2\\ -1 \end{Bmatrix} \\$ $\begin{Bmatrix} 1\\ 1 \end{Bmatrix} \\$

One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is$\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$$\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 55
An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using sand core (density $1600$ $kg$/$m^3$). The net buoyancy force (in newton) acting on the core is _______

An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using san...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 54
If the Taylor’s tool life exponent $n$ is $0.2$, and the tool changing time is $1.5$ $min$, then the tool life (in $min$) for maximum production rate is _______

If the Taylor’s tool life exponent $n$ is $0.2$, and the tool changing time is $1.5$ $min$, then the tool life (in $min$) for maximum production rate is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 53
For the given assembly: $25 \: H7/g8$, match Group $A$ with Group $B$ ... $P-I, Q-IV, R-III, S-II$ $P-II, Q-III, R-IV, S-I$ $P-II, Q-IV, R-III, S-I$

For the given assembly: $25 \: H7/g8$, match Group $A$ with Group $B$$$\begin{array}{|c|l|c|l|} \hline & \textbf{Group A} & & \textbf{Group B} \\ \hline P. & \text{H} & I...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 52
During pure orthogonal turning operation of a hollow cylindrical pipe, it is found that the thickness of the chip produced is $0.5$ $mm$. The feed given to the zero degree rake angle tool is $0.2$ $mm/rev$. The shear strain produced during the operation is _______

During pure orthogonal turning operation of a hollow cylindrical pipe, it is found that the thickness of the chip produced is $0.5$ $mm$. The feed given to the zero degre...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 51
A metal rod of initial length $L_0$ is subjected to a drawing process. The length of the rod at any instant is given by the expression, $L(t)=L_0(1+t^2)$ , where $t$ is the time in minutes. The true strain rate (in $min^{−1}$) at the end of one minute is _______

A metal rod of initial length $L_0$ is subjected to a drawing process. The length of the rod at any instant is given by the expression, $L(t)=L_0(1+t^2)$ , where $t$ is t...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 50
Jobs arrive at a facility at an average rate of $5$ in an $8$ hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is $40$ minutes. The service time follows exponential distribution. Idle time (in hours) at the ... be $\dfrac{5}{7} \\$ $\dfrac{14}{3} \\$ $\dfrac{7}{5} \\$ $\dfrac{10}{3}$

Jobs arrive at a facility at an average rate of $5$ in an $8$ hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the f...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 49
An ideal reheat Rankine cycle operates between the pressure limits of $10 \: kPa$ and $8 \: MPa$, with reheat being done at $4 \: MPa$. The temperature of steam at the inlets of both turbines is $500^ \circ C$ and the enthalpy ... Disregarding the pump work, the cycle efficiency (in percentage) is _______

An ideal reheat Rankine cycle operates between the pressure limits of $10 \: kPa$ and $8 \: MPa$, with reheat being done at $4 \: MPa$. The temperature of steam at the in...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 48
A reversible heat engine receives $2$ $kJ$ of heat from a reservoir at $1000$ $K$ and a certain amount of heat from a reservoir at $800$ $K$. It rejects $1$ $kJ$ of heat to a reservoir at $400$ $K$. The net work output (in $kJ$) of the cycle is $0.8$ $1.0$ $1.4$ $2.0$

A reversible heat engine receives $2$ $kJ$ of heat from a reservoir at $1000$ $K$ and a certain amount of heat from a reservoir at $800$ $K$. It rejects $1$ $kJ$ of heat ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 47
In an air-standard Otto cycle, air is supplied at $0.1$ $MPa$ and $308$ $K$. The ratio of the specific heats $(γ)$ and the specific gas constant $(R)$ of air are $1.4$ and $288.8$ $J/kg.K$, respectively. If the compression ratio is $8$ and the maximum temperature in the cycle is $2660$ $K$, the heat (in $kJ/kg$) supplied to the engine is _______

In an air-standard Otto cycle, air is supplied at $0.1$ $MPa$ and $308$ $K$. The ratio of the specific heats $(γ)$ and the specific gas constant $(R)$ of air are $1.4$ a...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 46
The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by $\dfrac{T_W-T}{T_W-T_\infty }=a+b\dfrac{y}{L}+c \left (\dfrac{y}{L} \right)^2$ , where $y$ is measured perpendicular to the plate, $L$ is the plate ... number $Nu=\dfrac{{q}''}{T_W-T_\infty }\dfrac{L}{k}$ is equal to $a$ $b$ $2c$ $(b+2c)$

The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by $\dfrac{T_W-T}{T_W-T_\infty }=a+b\dfrac{y}{L}+c \left (\dfr...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 45
In a simple concentric shaft-bearing arrangement, the lubricant flows in the $2$ $mm$ gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is $100$ $mm$ and ... $0.1$ $kg/m.s$. The frictional resisting force (in newton) per $100$ $mm$ length of the bearing is _______

In a simple concentric shaft-bearing arrangement, the lubricant flows in the $2$ $mm$ gap between the shaft and the bearing. The flow may be assumed to be a plane Couette...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 44
For a fully developed flow of water in a pipe having diameter $10$ $cm$, velocity $0.1$ $m/s$ and kinematic viscosity $10^{−5}$ $m^2$/$s$, the value of Darcy friction factor is _______

For a fully developed flow of water in a pipe having diameter $10$ $cm$, velocity $0.1$ $m/s$ and kinematic viscosity $10^{−5}$ $m^2$/$s$, the value of Darcy friction f...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 43
Water flows through a pipe having an inner radius of $10 mm$ at the rate of $36 \: kg/hr$ at $25^ \circ C$. The viscosity of water at $25^ \circ C$ is $0.001 \: kg/m.s$. The Reynolds number of the flow is _______

Water flows through a pipe having an inner radius of $10 mm$ at the rate of $36 \: kg/hr$ at $25^ \circ C$. The viscosity of water at $25^ \circ C$ is $0.001 \: kg/m.s$....

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 42
Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness $30$ $mm$ and thermal conductivity $15$ $W/m.K$. At $x$ = $0$, a constant heat flux, ${q}''$ = $1 105$ $W$/$m^2$ is applied. On ... $250$ $W$/$m^2.K$. The temperature (in $°C$), at $x$ = $0$ is _______

Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness $30$ $mm$ and thermal conductivity $15$ $W/m.K$. At $x$ = $0$,...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 41
$1.5$ kg of water is in saturated liquid state at $2$ bar $(vf = 0.001061 \: m^3/kg, uf = 504.0 \: kJ/kg,$ $hf = 505 kJ/kg$). Heat is added in a constant pressure process till the temperature of water reaches $400^ \circ C (v = 1.5493 \: m^3/kg, u = 2967.0 kJ/kg,$ $h = 3277.0 \: kJ/kg)$. The heat added (in $kJ$) in the process is _______

$1.5$ kg of water is in saturated liquid state at $2$ bar $(vf = 0.001061 \: m^3/kg, uf = 504.0 \: kJ/kg,$ $hf = 505 kJ/kg$). Heat is added in a constant pressure proces...

asked Feb 19, 2017