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GATE Mechanical 2014 Set 4 | Question: 45
Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/m^2$, $k$=$0.625$ $W/m.K$, $P_r$ = $4.85$. Using $N_\mu =0.023R_e^{0.8}P_r^{0.4}$ , the convective heat transfer coefficient (in $W/m^2.K$) is _______

Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 3 | GA Question: 4
The next term in the series $81, 54, 36, 24,\ldots$ is ________

The next term in the series $81, 54, 36, 24,\ldots$ is ________

Arjun

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Arjun asked Feb 19, 2017

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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...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 6
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of $0.75$ $m$/$s$ with respect to the rod, as shown in the figure below. If $OA$ = $1$ $m$, the magnitude of the absolute acceleration of the block at location $A$ in $m$/$s^2$ is $3$ $4$ $5$ $6$

A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform vel...

piyag476

1.4k points

piyag476 asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 24
A set of jobs $\text{U, V, W, X, Y, Z}$ arrive at time $t=0$ to a production line consisting of two workstations in series. Each job must be processed by both workstations in sequence (i.e., the first followed by the second). The process times (in minutes) for each job on each ... $\text{W-X-V-Z-Y-U}$ $\text{W-U-Z-V-Y-X}$ $\text{U-Y-V-Z-X-W}$

A set of jobs $\text{U, V, W, X, Y, Z}$ arrive at time $t=0$ to a production line consisting of two workstations in series. Each job must be processed by b...

admin

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admin asked Feb 16

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GATE Mechanical 2024 | Question: 55
In a supplier-retailer supply chain, the demand of each retailer, the capacity of each supplier, and the unit cost in rupees of material supply from each supplier to each retailer are tabulated below. The supply chain manager wishes to ... \end{array} The optimal cost of satisfying the total demand from all retailers is __________ rupees (answer in integer).

In a supplier-retailer supply chain, the demand of each retailer, the capacity of each supplier, and the unit cost in rupees of material supply from each supplier to each...

admin

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admin asked Feb 16

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GATE2020-ME-1: 3
The Laplace transform of a function $f(t)$ is $L( f )=\dfrac{1}{(s^{2}+\omega ^{2})}.$ Then, $f(t)$ is $f\left ( t \right )=\dfrac{1}{\omega ^{2}}\left ( 1-\cos\:\omega t \right ) \\$ $f\left ( t \right )=\dfrac{1}{\omega}\cos\:\omega t \\$ $f\left ( t \right )=\dfrac{1}{\omega}\sin\:\omega t \\$ $f\left ( t \right )=\dfrac{1}{\omega^{2}}\left ( 1-\sin\:\omega t \right )$

The Laplace transform of a function $f(t)$ is $L( f )=\dfrac{1}{(s^{2}+\omega ^{2})}.$ Then, $f(t)$ is$f\left ( t \right )=\dfrac{1}{\omega ^{2}}\left ( 1-\cos\:\omega t ...

go_editor

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go_editor asked Feb 19, 2020

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ISRO2009-11
The transition Reynolds number for flow over a flat plate is $5\ast 10^5$. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of $1 \: \text{m/s}?\;($For water, the kinematic viscosity $v=0.86 \ast 10^{-6} \:\text{m}^2\text{/s})$ $0.43\;\text{m}$ $1\;\text{m}$ $43\;\text{m}$ $103\;\text{m}$

The transition Reynolds number for flow over a flat plate is $5\ast 10^5$. What is the distance from the leading edge at which transition will occur for flow of water wit...

m2n037

940 points

m2n037 asked Mar 6, 2018

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GATE2018-1-1
Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is $1/72$ $1/55$ $1/36$ $1/27$

Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probabil...

Arjun

28.7k points

Arjun asked Feb 17, 2018

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GATE2017 ME-2: 24
The standard deviation of linear dimensions $P$ and $Q$ are $3 \mu$ m and $4 \mu$ m, respectively. When assembled, the standard deviation (in $\mu$ m) of the resulting linear dimension $(P+Q)$ is _________.

The standard deviation of linear dimensions $P$ and $Q$ are $3 \mu$ m and $4 \mu$ m, respectively. When assembled, the standard deviation (in $\mu$ m) of the resulting li...

Arjun

28.7k points

Arjun asked Feb 26, 2017

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GATE Mechanical 2015 Set 3 | GA Question: 3
Choose the statement where underlined word is used correctly When the teacher eludes to different authors, he is being elusive. When the thief keeps eluding the police, he is being elusive. Matters that are difficult to understand, identify or remember are allusive. Mirages can be allusive, but a better way to express them is illusory.

Choose the statement where underlined word is used correctlyWhen the teacher eludes to different authors, he is being elusive.When the thief keeps eluding the police, he ...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2015 Set 2 | GA Question: 8
From a circular sheet of paper of radius $30$ $cm$, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of radius and height of cone is_____

From a circular sheet of paper of radius $30$ $cm$, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of radius ...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | Question: 38
A slider-crank mechanism with crank radius $60$ $mm$ and connecting rod length $240$ $mm$ is shown in figure. The crank is rotating with a uniform angular speed of $10$ $rad/s$, counter clockwise. For the given configuration, the speed (in $m/s$) of the slider is _______

A slider-crank mechanism with crank radius $60$ $mm$ and connecting rod length $240$ $mm$ is shown in figure. The crank is rotating with a uniform angular speed of $10$ $...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 31
A block R of mass $100$ kg is placed on a block S of mass $150$ kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ .If the coefficient of static friction for all surfaces is $0.4$, the minimum force F (in $kN$) needed to move the block S is . $0.69$ $0.88$ $0.98$ $1.37$

A block R of mass $100$ kg is placed on a block S of mass $150$ kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ .If the co...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 60
What will be the maximum sum of $44, 42, 40, \ldots \;?$ $502$ $504$ $506$ $500$

What will be the maximum sum of $44, 42, 40, \ldots \;?$$502$$504$$506$$500$

piyag476

1.4k points

piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 11
Match the CORRECT pairs: ... $P-4; Q-2; R-3; S-1$ $P-2; Q-3; R-4; S-1$ $P-2; Q-4; R-1; S-3$

Match the CORRECT pairs:$\begin{array}{llll} & \text{Process} & & \text{Characteristics/Applications} \\ P. & \text{Friction Welding} & 1. & \text{Non-consumable electrod...

piyag476

1.4k points

piyag476 asked Feb 19, 2017

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GATE Mechanical 2022 Set 1 | Question: 2
Solution of $\triangledown ^{2} T = 0$ in a square domain ($0 < x< 1$ and $0 < y< 1$) with boundary conditions: $T \left ( x,0 \right ) = x; T \left ( 0,y \right ) = y; T\left ( x,1 \right ) = 1 + x; T\left ( 1,y \right )= 1 +y$ ... $T \left ( x,y \right ) = -x + y$ $T \left ( x,y \right ) = x + xy + y$

Solution of $\triangledown ^{2} T = 0$ in a square domain ($0 < x< 1$ and $0 < y< 1$) with boundary conditions: $T \left ( x,0 \right ) = x; T \left ( 0,y \right ) = y; T...

Arjun

28.7k points

Arjun asked Feb 15, 2022

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GATE Mechanical 2022 Set 1 | Question: 45
A $1$ $\text{mm}$ thick cylindrical tube, $100$ $\text{mm}$ in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is $1$ ... of feed force towards power. The power required to carry out this operation is _______________ $kW$ (round off to one decimal place).

A $1$ $\text{mm}$ thick cylindrical tube, $100$ $\text{mm}$ in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. T...

Arjun

28.7k points

Arjun asked Feb 15, 2022

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GATE2020-ME-2: 25
If a reversed Carnot cycle operates between the temperature limits of $27^\circ C$ and $-3^\circ C$, then the ratio of the COP of a refrigerator to that of a heat pump (COP of refrigerator / COP of heat pump) based on the cycle is __________ (round off to $2$ decimal places).

If a reversed Carnot cycle operates between the temperature limits of $27^\circ C$ and $-3^\circ C$, then the ratio of the COP of a refrigerator to that of a heat pump (C...

go_editor

5.0k points

go_editor asked Sep 18, 2020

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GATE ME 2012 | Question: 23
For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is $1$ $2$ $4$ $8$

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is$1$$2$$4$$...

Andrijana3306

1.5k points

Andrijana3306 asked Mar 19, 2018

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GATE2017 ME-1: 45
In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at $100$ rpm. Let the number of teeth on the sun, planet and outer gears to be $50, 25$ and $100$, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is ________.

In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at $100$ rpm. Let the number of teeth on the su...

Arjun

28.7k points

Arjun asked Feb 26, 2017

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GATE2016-3-40
The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses and assume the water level in the tank to remain constant. The net horizontal force experienced by the wall is ___________ $kN$. Density of water is $1000 \: kg/m^3$. Acceleration due to gravity $g=10 \: m/s^2$.

The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses ...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE2016-3-2
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to $0 \\$ $\dfrac{1}{12} \\$ $\dfrac{4}{3} \\$ $1$

$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to$0 \\$$\dfrac{1}{12} \\$$\dfrac{4}{3} \\$$1$

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2016 Set 2 | GA Question: 7
A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state. Which of the following can be logically ... . $(i)$ and $(iv)$ only $(ii)$ and $(iii)$ only $(iv)$ only $(i)$ only

A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the ...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE2015-2-9
The number of degrees of freedom of the planetary gear train shown in the figure is $0$ $1$ $2$ $3$

The number of degrees of freedom of the planetary gear train shown in the figure is$0$$1$$2$$3$

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 4 | Question: 6
In a statically determinate plane truss, the number of joints $(j)$ and the number of members $(m)$ are related by $j = 2m – 3$ $m = 2j + 1$ $m = 2j – 3$ $m = 2j − 1$

In a statically determinate plane truss, the number of joints $(j)$ and the number of members $(m)$ are related by$j = 2m – 3$$m = 2j + 1$$m = 2j – 3$$m = 2j − 1$

Arjun

28.7k points

Arjun asked Feb 19, 2017

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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...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 7
A plane, solid slab of thickness $L$, shown in the figure, has thermal conductivity $k$ that varies with the spatial coordinate $x$ as $k=A+B x$, where $A$ and $B$ ... . Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?

A plane, solid slab of thickness $L$, shown in the figure, has thermal conductivity $k$ that varies with the spatial coordinate $x$ as $k=A+B x$, where $A$ an...

admin

4.4k points

admin asked Feb 16

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GATE Mechanical 2021 Set 1 | Question: 1
If $y(x)$ satisfies the differential equation $(\sin x) \dfrac{\mathrm{d}y }{\mathrm{d} x} + y \cos x = 1,$ subject to the condition $y(\pi/2) = \pi/2,$ then $y(\pi/6)$ is $0$ $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\frac{\pi}{2}$

If $y(x)$ satisfies the differential equation $(\sin x) \dfrac{\mathrm{d}y }{\mathrm{d} x} + y \cos x = 1,$subject to the condition $y(\pi/2) = \pi/2,$ then $y(\pi/6)$ is...

gatecse

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gatecse asked Feb 22, 2021

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GATE2018-1-53
The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at point X. A force $F=100$ N is applied at the free end of the lever as shown. Given that the ... the shoe and the drum is $0.3$, the braking torque in (Nm) applied on the drum is _____ (correct to two decimal places)

The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at poin...

Arjun

28.7k points

Arjun asked Feb 17, 2018

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GATE2017 ME-2: 25
It is desired to make a product having $T$-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product? Welding Casting Metal forming Machining

It is desired to make a product having $T$-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highes...

Arjun

28.7k points

Arjun asked Feb 26, 2017

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GATE2016-2-53
For the situation shown in the figure below the expression for $H$ in terms of $r$, $R$ and $D$ is $H=D+\sqrt{r^2+R^2}$ $H=(R+r)+(D+r)$ $H=(R+r)+\sqrt{D^2-R^2}$ $H=(R+r)+\sqrt{2D(R+r)-D^2}$

For the situation shown in the figure below the expression for $H$ in terms of $r$, $R$ and $D$ is $H=D+\sqrt{r^2+R^2}$$H=(R+r)+(D+r)$$H=(R+r)+\sqrt{D^2-R^2}$$H=(R+r)+\sq...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2016 Set 1 | GA Question: 1
Which of the following is CORRECT with respect to grammar and usage? Mount Everest is ____________. the highest peak in the world highest peak in the world one of highest peak in the world one of the highest peak in the world

Which of the following is CORRECT with respect to grammar and usage?Mount Everest is ____________.the highest peak in the worldhighest peak in the worldone of highest pea...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2015 Set 3 | GA Question: 4
Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true ,then the third statement is : True False Uncertain Data insufficient

Tanya is older than Eric.Cliff is older than Tanya.Eric is older than Cliff. If the first two statements are true ,then the third statement is :TrueFalseUncertainDa...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE2015-1-43
A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength of the material is $100$ $MPa$, the factor of safety as per Tresca’s maximum shear stress theory is $1.0$ $2.0$ $2.5$ $3.3$

A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | GA Question: 2
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized

The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupeehas ____________.depresseddepreciatedappreciatedstabilized

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 3 | Question: 49
A diesel engine has a compression ratio of $17$ and cut-off takes place at $10\%$ of the stroke.Assuming ratio of specific heats $(\gamma)$ as $1.4$, the air-standard efficiency (in percent) is _______

A diesel engine has a compression ratio of $17$ and cut-off takes place at $10\%$ of the stroke.Assuming ratio of specific heats $(\gamma)$ as $1.4$, the air-standard eff...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 9
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues ... among the following has generated the maximum revenue per $kg$? Item $2$ Item $3$ Item $6$ Item $5$

The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported a...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 31
A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not to exceed $±2%$, the mass moment of inertia of the flywheel in $kg$-$m^2$ is $25$ $50$ $100$ $125$

A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not ...

piyag476

1.4k points

piyag476 asked Feb 19, 2017

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GATE Mechanical 2022 Set 2 | Question: 40
A shaft of length $L$ is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner ... strain relations are linear. Then the ratio $\tau_{i}/ \tau_{o}$ is ______________ (round off to $2$ decimal places).

A shaft of length $L$ is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface)...

Arjun

28.7k points

Arjun asked Feb 15, 2022