Recent questions tagged gateme-2014-set2 / GO Mechanical

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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 − ...

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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...

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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...

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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...

Arjun

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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 $6$ $mm \times 6$...

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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...

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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 ...

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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

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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 _______

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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 $ΔT_2$ ...

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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...

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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 _______

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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\...

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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...

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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...

Arjun

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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...

Arjun

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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...

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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...

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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...

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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...

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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...

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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 _______

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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...

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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$

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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} \\...

Arjun

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Arjun asked Feb 19, 2017