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GATE Mechanical 2022 Set 2 | Question: 9
Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components $A$ and $B$ is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, ... the solidification range is $400^{\circ}C$ $250^{\circ}C$ $800^{\circ}C$ $150^{\circ}C$

Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components $A$ and $B$ is shown in...

Arjun

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GATE2020-ME-2: 36
A fair coin is tossed $20$ times. The probability that ‘head’ will appear exactly $4$ times in the first ten tosses, and ‘tail’ will appear exactly $4$ times in the next ten tosses is _________ (round off to $3$ decimal places)

A fair coin is tossed $20$ times. The probability that ‘head’ will appear exactly $4$ times in the first ten tosses, and ‘tail’ will appear exactly $4$ times in t...

go_editor

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go_editor asked Sep 18, 2020

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GATE Mechanical 2021 Set 2 | GA Question: 4
If $\bigoplus \div \bigodot =2;\: \bigoplus \div\Delta =3;\:\bigodot +\Delta =5; \:\Delta \times \bigotimes =10$, Then, the value of $\left ( \bigotimes - \bigoplus \right )^{2}$, is : $0$ $1$ $4$ $16$

If $\bigoplus \div \bigodot =2;\: \bigoplus \div\Delta =3;\:\bigodot +\Delta =5; \:\Delta \times \bigotimes =10$,Then, the value of $\left ( \bigotimes - \bigoplus \right...

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GATE2019 ME-2: 32
A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in the figure. For the system to be critically damped, the ratio $c/\sqrt{km}$ should be $2$ $4$ $2 \sqrt{7}$ $4 \sqrt{7}$

A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in...

Arjun

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Arjun asked Feb 9, 2019

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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...

Arjun

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Arjun asked Feb 19, 2017

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GATE2016-2-43
Two cylindrical shafts $A$ and $B$ at the same initial temperature are simultaneously placed in a furnace. The surfaces of the shafts remain at the furnace gas temperature at all times after they are introduced into the furnace. The temperature variation in the axial ... required (in hours) for the centerline of the shaft B to attain the temperature of $400^ \circ C$ is _______ .

Two cylindrical shafts $A$ and $B$ at the same initial temperature are simultaneously placed in a furnace. The surfaces of the shafts remain at the furnace gas temperatur...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2021 Set 2 | Question: 42
A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the other end of the sine bar to measure an angle of $30^{\circ}$ is ______ $\text{mm} (\textit{round off to two decimal places}$).

A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the othe...

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GATE2020-ME-2: 1
The sum of two normally distributed random variables $X$ and $Y$ is always normally distributed normally distributed, only if $X$ and $Y$ are independent normally distributed, only if $X$ and $Y$ have the same standard deviation normally distributed, only if $X$ and $Y$ have the same mean

The sum of two normally distributed random variables $X$ and $Y$ isalways normally distributednormally distributed, only if $X$ and $Y$ are independentnormally distribute...

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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

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Arjun asked Feb 26, 2017

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GATE Mechanical 2023 | Question: 53
Consider a unidirectional fluid flow with the velocity field given by $ V(x, y, z, t)=u(x, t) \hat{\imath} $ where $u(0, t)=1$. If the spatially homogeneous density field varies with time $t$ as $ \rho(t)=1+0.2 e^{-t} $ the value of $u(2,1)$ is ______________. (Rounded off to two decimal places) Assume all quantities to be dimensionless.

Consider a unidirectional fluid flow with the velocity field given by$$V(x, y, z, t)=u(x, t) \hat{\imath}$$where $u(0, t)=1$. If the spatially homogeneous density field v...

admin

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admin asked May 21, 2023

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GATE Mechanical 2021 Set 1 | Question: 30
Consider a two degree of freedom system as shown in the figure, where $\text{PQ}$ is a rigid uniform rod of length, $\text{b}$ and mass, $\text{m}$. Assume that the spring deflects only horizontally and force $\text{F}$ is applied horizontally at $\text{Q}$. For ...

Consider a two degree of freedom system as shown in the figure, where $\text{PQ}$ is a rigid uniform rod of length, $\text{b}$ and mass, $\text{m}$.Assume that the spring...

gatecse

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gatecse asked Feb 22, 2021

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GATE Mechanical 2018 Set 2 | GA Question: 2
" The judge's standing in the legal; community, though shaken by false allegations of wrongdoing. remained ______ ." The word that best fills the blank in the above sentence is undiminished damaged illegal uncertain

" The judge's standing in the legal; community, though shaken by false allegations of wrongdoing. remained ______ ."The word that best fills the blank in the above senten...

Arjun

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Arjun asked Feb 17, 2018

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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

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Arjun asked Feb 26, 2017

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GATE2019 ME-2: 19
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____

If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____

Arjun

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Arjun asked Feb 9, 2019

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GATE Mechanical 2023 | Question: 54
The figure shows two fluids held by a hinged gate. The atmospheric pressure is $P_a=100 \mathrm{kPa}$. The moment per unit width about the base of the hinge is ____________ $\mathrm{kNm} / \mathrm{m}$. (Rounded off to one decimal place) Take the acceleration due to gravity to be $\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$.

The figure shows two fluids held by a hinged gate. The atmospheric pressure is $P_a=100 \mathrm{kPa}$. The moment per unit width about the base of the hinge is __________...

admin

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admin asked May 21, 2023

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GATE2018-2-28
For a position vector $\overrightarrow{r} = x \hat{i}+y \hat{j} + z\hat{k}$ the norm of the vector can be defined as $\mid \overrightarrow{r} \mid = \sqrt{x^2+y^2+z^2}$. Given a function $\phi =\text{ln} \mid \overrightarrow{r} \mid$, its ... $\dfrac{\overrightarrow{r}}{\overrightarrow{r} \cdot \overrightarrow{r} } \\ $ $\dfrac{\overrightarrow{r}}{\mid \overrightarrow{r} \mid^3} $

For a position vector $\overrightarrow{r} = x \hat{i}+y \hat{j} + z\hat{k}$ the norm of the vector can be defined as $\mid \overrightarrow{r} \mid = \sqrt{x^2+y^2+z^2}$. ...

Arjun

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GATE Mechanical 2022 Set 1 | Question: 36
The system of linear equations in real $\left ( x,y \right )$ given by $\left ( x \: y \right )\begin{bmatrix} 2 &5 - 2 \alpha \\ \alpha & 1 \end{bmatrix} = \left ( 0\:0 \right )$ involves a real parameter $\alpha$ and has infinitely many non-trivial solutions for special ... $\alpha$? $x = 2, y = -2$ $x = -1, y = 4$ $x = 1, y = 1$ $x = 4, y = -2$

The system of linear equations in real $\left ( x,y \right )$ given by $$\left ( x \: y \right )\begin{bmatrix} 2 &5 - 2 \alpha \\ \alpha & 1 \end{bmatrix} = \left ( 0\:0...

Arjun

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Arjun asked Feb 15, 2022

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GATE Mechanical 2018 Set 2 | GA Question: 3
Find the missing group of letters in the following series: BC, FCH, LMNO, ______ UVWXY TUVWX STUVW RSTUV

Find the missing group of letters in the following series:BC, FCH, LMNO, ______UVWXYTUVWXSTUVWRSTUV

Arjun

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Arjun asked Feb 17, 2018

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GATE ME 2012 | Question: 40
A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ ...

A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ are negligible, the instantaneou...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 9
A house has a number which need to be identified. The following three statements are given that can help in identifying the house number? If the house number is a multiple of $3$, then it is a number from $50$ to $59$. If the house number is NOT a multiple of ... of $6$, then it is a number from $70$ to $79$. What is the house number? $54$ $65$ $66$ $76$

A house has a number which need to be identified. The following three statements are given that can help in identifying the house number?If the house number is a multiple...

Arjun

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Arjun asked Feb 17, 2018

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GATE Mechanical 2014 Set 3 | Question: 52
A cylindrical blind riser with diameter d and height h , is placed on the top of the mold cavity of a closed type san d mold as shown in the figure. If the riser is of constant volume, then the rate of solidification in the riser is the least when the ratio h:d is $1:2$ $2:1$ $1:4$ $4:1$

A cylindrical blind riser with diameter d and height h , is placed on the top of the mold cavity of a closed type san d mold as shown in the figure. If the riser is of co...

Arjun

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GATE Mechanical 2014 Set 1 | Question: 22
The major difficulty during welding of aluminum is due to its high tendency of oxidation high thermal conductivity low melting point low density

The major difficulty during welding of aluminum is due to itshigh tendency of oxidationhigh thermal conductivitylow melting pointlow density

Arjun

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GATE2019 ME-1: 20
A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear strain in the rod is $p \times 10^{-3}$, then $p$ is equal to ____ (round off to two decimal places).

A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear ...

Arjun

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Arjun asked Feb 9, 2019

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GATE2020-ME-1: 44
A steel part with surface area of $125\:cm^{2}$ is to be chrome coated through an electroplating process using chromium acid sulphate as an electrolyte. An increasing current is applied to the part according to the following current time relation: $I=12+0.2t$ ... $\mu m$ (round off to one decimal place).

A steel part with surface area of $125\:cm^{2}$ is to be chrome coated through an electroplating process using chromium acid sulphate as an electrolyte. An increasing cur...

go_editor

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go_editor asked Feb 19, 2020

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GATE ME 2012 | Question: 54
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below. ... critical path for the project is $a-b-e-g-h$ $a-c-g-h$ $a-d-f-h$ $a-b-c-f-h$

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.$\begi...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE Mechanical 2017 Set 1 | GA Question: 2
As the two speakers become increasingly agitated, the debate became _________. lukewarm poetic forgiving heated

As the two speakers become increasingly agitated, the debate became _________.lukewarmpoeticforgivingheated

Arjun

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Arjun asked Feb 26, 2017

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GATE2019 ME-1: 35
In orthogonal turning of a cylindrical tube of wall thickness $5 \: mm$, the axial and the tangential cutting forces were measured as $1259 \: N$ and $1601 \:N$, respectively. The measured chip thickness after machining was found to be $0.3 \: mm$. The rake angle was ... solution, the shear strength of the material is closest to $722 \: MPa$ $920 \: MPa$ $200 \: MPa$ $875 \: MPa$

In orthogonal turning of a cylindrical tube of wall thickness $5 \: mm$, the axial and the tangential cutting forces were measured as $1259 \: N$ and $1601 \:N$, respecti...

Arjun

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Arjun asked Feb 9, 2019

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GATE2019 ME-2: 41
A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The disc spins counter-clockwise about the axle with angular speed $\omega$, when viewed from the right-hand side bearing, ... $g=10 m/s^2$, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______

A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The disc spins counter-clockwise about...

Arjun

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Arjun asked Feb 9, 2019

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GATE2015-2-44
Work is done on an adiabatic system due to which its velocity changes from $10$ $m/s$ to $20$ $m/s$, elevation increases by $20$ $m$ and temperature increases by $1$ $K$. The mass of the system is $10$ $kg$, $C_v$ = $100$ $J/(kg.K)$ and ... $kJ$) on the system is _______

Work is done on an adiabatic system due to which its velocity changes from $10$ $m/s$ to $20$ $m/s$, elevation increases by $20$ $m$ and temperature increases by $1$ $K$....

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-2-37
The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. The spring constant $k$ is $1500$ $N/m$. If there is no slipping of the rope over the pulley, the natural frequency of the system is_____________ $rad/s$.

The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-3-33
A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Young’s modulus $E=200 \: GPa$ .The deformed shape is a square of dimension $L− 2\delta$. If $L = 2 \: m$ and $\delta=0.001 \: m$, the Poisson’s ratio of the plate material is __________

A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Y...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2022 Set 2 | Question: 11
Match the additive manufacturing technique in Column $\text{I}$ with its corresponding input material in Column $\text{II}$. Additive manufacturing technique (Column $\text{I}$) Input material (Column $\text{II}$) $P$ Fused deposition modelling $1$ Photo sensitive liquid resin $Q$ Laminated object ... $P -2, Q -3, R -1$ $P -4, Q -1, R -4$

Match the additive manufacturing technique in Column $\text{I}$ with its corresponding input material in Column $\text{II}$. Additive manufacturing technique (Column $\t...

Arjun

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GATE2019 ME-2: 5
A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves such that velocities of points P and R are $V_P$ and $V_R$, in the $x$ and $y$ directions, respectively. The magnitude of the angular velocity of the body is $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$

A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves ...

Arjun

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Arjun asked Feb 9, 2019

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GATE Mechanical 2014 Set 4 | Question: 23
Better surface finish is obtained with a large rake angle because the area of shear plane decreases resulting in the decrease in shear force and cutting force the tool becomes thinner and the cutting force is reduced less heat is accumulated in the cutting zone the friction between the chip and the tool is less

Better surface finish is obtained with a large rake angle becausethe area of shear plane decreases resulting in the decrease in shear force and cutting forcethe tool beco...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2021 Set 1 | Question: 19
Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown in the figure. This shear stress distribution represents direct shear stress in the coil wire cross-section torsional shear stress ... and torsional shear stress along with the effect of stress concentration at inside edge of the coil wire cross-section

Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown in the figure. This shear stress distribution representsdirect sh...

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gatecse asked Feb 22, 2021

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GATE2020-ME-1: 41
The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).

The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).

go_editor

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GATE Mechanical 2022 Set 2 | Question: 13
Which one of the following is an intensive property of a thermodynamic system? Mass Density Energy Volume

Which one of the following is an intensive property of a thermodynamic system?MassDensityEnergyVolume

Arjun

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Arjun asked Feb 15, 2022

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GATE Mechanical 2022 Set 1 | GA Question: 6
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets ... are more likely to be returned than wallets that are really lost Money is always more important than keys

Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to b...

Arjun

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GATE ME 2013 | Question: 18
In order to have maximum power from a Pelton turbine, the bucket speed must be equal to the jet speed. equal to half of the jet speed. equal to twice the jet speed. independent of the jet speed.

In order to have maximum power from a Pelton turbine, the bucket speed must beequal to the jet speed.equal to half of the jet speed.equal to twice the jet speed.independe...

piyag476

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piyag476 asked Feb 19, 2017

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GATE Mechanical 2022 Set 1 | Question: 6
A uniform light slender beam $\text{AB}$ of section modulus $\text{EI}$ is pinned by a frictionless joint $A$ to the ground and supported by a light inextensible cable $\text{CB}$ to hang a weight $W$ as shown. If the maximum value of $W$ ... $\beta$ is $0.0924\:m^{-2}$ $0.0713\:m^{-2}$ $0.1261\:m^{-2}$ $0.1417\:m^{-2}$

A uniform light slender beam $\text{AB}$ of section modulus $\text{EI}$ is pinned by a frictionless joint $A$ to the ground and supported by a light inextensible cable $\...

Arjun

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Arjun asked Feb 15, 2022