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GATE Mechanical 2014 Set 3 | Question: 55
For spot welding of two steel sheets (base metal) each of $3$ $mm$ thickness, welding current of $10000$ $A$ is applied for $0.2$ $s$. The heat dissipated to the base metal is $1000$ $J$ ... $J$ and interfacial contact resistance between sheets is $0.0002$ $Ω$, the volume (in $mm^3$) of weld nugget is _______

For spot welding of two steel sheets (base metal) each of $3$ $mm$ thickness, welding current of $10000$ $A$ is applied for $0.2$ $s$. The heat dissipated to the base met...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 3 | Question: 40
A mass-spring-dashpot system with mass $m = 10$ $kg$, spring constant $k = 6250$ $N/m$ is excited by a harmonic excitation of $10 cos(25t)$ $N$. At the steady state, the vibration amplitude of the mass is $40$ $mm$. The damping coefficient ($c$, in $N.s/m$) of the dashpot is _______

A mass-spring-dashpot system with mass $m = 10$ $kg$, spring constant $k = 6250$ $N/m$ is excited by a harmonic excitation of $10 cos(25t)$ $N$. At the steady state, the ...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 16
A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will be $10$ $20$ $24$ $40$

A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will ...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2012 | Question: 21
A circular solid disc of uniform thickness of $20$ mm, radius $200$ mm and mass $20$ kg, is used as a flywheel. If it rotates at $600$ rpm, the kinetic energy of the flywheel, in $\textit{Joules}$ is $395$ $790$ $1580$ $3160$

A circular solid disc of uniform thickness of $20$ mm, radius $200$ mm and mass $20$ kg, is used as a flywheel. If it rotates at $600$ rpm, the kinetic energy of the flyw...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE2015-3-6
In a machining operation, if the generatrix and directrix both are straight lines, the surface obtained is cylindrical helical helical surface of revolution

In a machining operation, if the generatrix and directrix both are straight lines, the surface obtained iscylindricalhelicalhelicalsurface of revolution

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-1-24
In a linear arc welding process, the heat input per unit length is inversely proportional to welding current welding voltage welding speed duty cycle of the power source

In a linear arc welding process, the heat input per unit length is inversely proportional towelding currentwelding voltagewelding speedduty cycle of the power source

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | GA Question: 8
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.

A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as torow downstream, then find the stream velocity in $km$ per hour.

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 51
Consider the following data with reference to elementary deterministic economic order quantity model: ... The total number of economic orders per year to meet the annual demand is _______

Consider the following data with reference to elementary deterministic economic order quantity model:$$\begin{array}{|l |l|} \hline \text{Annual demand of an item} & 1000...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 18
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is Normal Poisson Erlang Beta

The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval isNormalPoissonErlangB...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 27
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform of $f(t)$is given by $\dfrac{2}{s+1} \\$ $\dfrac{4}{s+1} \\$ $\dfrac{4}{s^2+1} \\$ $\dfrac{2}{s^4+1}$

The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform ...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 21
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is $0.5$ $1.0$ $2.0$ $4.0$

A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal...

piyag476

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piyag476 asked Feb 19, 2017

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GATE2019 ME-1: 44
A single block brake with a short shoe and torque capacity of $250 \: N \cdot m$ is shown. The cylindrical brake drum rotates anticlockwise at $100 \: rpm$ and the coefficient of friction is $0.25$. The value of $a$ in mm (round off to one decimal place), such that the minimum actuating force $P$ is $2000 \: N$, is ___________

A single block brake with a short shoe and torque capacity of $250 \: N \cdot m$ is shown. The cylindrical brake drum rotates anticlockwise at $100 \: rpm$ and the coeffi...

Arjun

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Arjun asked Feb 9, 2019

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GATE2018-2-34
Air flows at the rate of $1.5 \: m^3/s$ through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have diameters of the $400 \: mm$ and $200 \: mm$. Take the air density as $1.2 \: kg/m^3$ and assume inviscid ... change in pressure $(p_2-p_1)$ (in $kPa$) between sections $1$ and $2$ is $-1.28$ $2.56$ $- 2.13$ $1.28$

Air flows at the rate of $1.5 \: m^3/s$ through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have ...

Arjun

28.7k points

Arjun asked Feb 17, 2018

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GATE2017 ME-1: 44
A horizontal bar, fixed at one end $(x=0)$, has a length of $1$ m, and cross-sectional area of $100 mm^{2}$. Its elastic modulus varies along its length as given by $E(x)=100 e^{-x}$ GPa, where $x$ is the length coordinate (in m) along the axis of the bar. An axial tensile load of $10$ kN is applied at the free end $(x=1)$. The axial displacement of the free end is _________ mm

A horizontal bar, fixed at one end $(x=0)$, has a length of $1$ m, and cross-sectional area of $100 mm^{2}$. Its elastic modulus varies along its length as given by $E(x)...

Arjun

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Arjun asked Feb 26, 2017

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GATE2016-2-36
The rod $AB$, of length $1$ $m$, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along $QP$ and $QR$. If the velocity $VA$ of the slider at $A$ is $2$ $m/s$, the velocity of the midpoint of the rod at this instant is ___________ $m/s$.

The rod $AB$, of length $1$ $m$, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along $QP$ and $QR$. If the velocity $VA$...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE2016-2-19
Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is $6$ and the ratio of the specific heats of the working medium is $1.4$. The ratio of minimum to maximum ... $K$) in the regenerative cycle. The ratio of the thermal efficiency of the simple cycle to that of the regenerative cycle is _________

Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is $6$ and the ratio of the specif...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-27
Figure shows a wheel rotating about $O_2$. Two points $A$ and $B$ located along the radius of wheel have speeds of $80$ $m/s$ and $140$ $m/s$ respectively. The distance between the points $A$ and $B$ is $300$ $mm$. The diameter of the wheel (in $mm$) is ________

Figure shows a wheel rotating about $O_2$. Two points $A$ and $B$ located along the radius of wheel have speeds of $80$ $m/s$ and $140$ $m/s$ respectively. The distance b...

Arjun

28.7k points

Arjun asked Feb 24, 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$

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 7
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear stress $\tau _\omega$ are related by $\tau _\omega =\dfrac{\Delta pD}{4L} \\$ $\tau _\omega =\dfrac{\Delta pD^2}{4L^2} \\$ $\tau _\omega =\dfrac{\Delta pD}{2L} \\$ $\tau _\omega =\dfrac{4\Delta p L}{D}$

For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear st...

piyag476

1.4k points

piyag476 asked Feb 19, 2017

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GATE Mechanical 2023 | Question: 39
Consider the second-order linear ordinary differential equation $ x^2 \frac{d^2 y}{d x^2}+x \frac{d y}{d x}-y=0, \quad x \geq 1 $ with the initial conditions $ y(x=1)=6,\left.\quad \frac{d y}{d x}\right|_{x=1}=2 . $ The value of $y$ at $x=2$ equals __________. (Answer in integer)

Consider the second-order linear ordinary differential equation$$x^2 \frac{d^2 y}{d x^2}+x \frac{d y}{d x}-y=0, \quad x \geq 1$$with the initial conditions$$y(x=1)=6,\lef...

admin

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admin asked May 21, 2023

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ISRO2009-8
The pressure drop for a relatively low Reynolds number flow in a $600 \: \text{mm}, \: 30 \: \text{m}$ long pipeline is $70 \;\text{kPa}$. What is the wall shear stress? $0 \;\text{Pa}$ $1400 \;\text{Pa}$ $700 \;\text{Pa}$ $350 \;\text{Pa}$

The pressure drop for a relatively low Reynolds number flow in a $600 \: \text{mm}, \: 30 \: \text{m}$ long pipeline is $70 \;\text{kPa}$. What is the wall shear stress?$...

m2n037

940 points

m2n037 asked Mar 6, 2018

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ISRO2009-6
A necessary precaution in selection of pumps for parallel operations is that $\text{H-Q}$ characteristics of both should be identical Both pumps should be centrifugal type Both pumps should be identical There should not be change from positive to negative slope in H-Q curve

A necessary precaution in selection of pumps for parallel operations is that$\text{H-Q}$ characteristics of both should be identicalBoth pumps should be centrifugal typeB...

m2n037

940 points

m2n037 asked Mar 6, 2018

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GATE Mechanical 2014 Set 3 | GA Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on ... a profit of Rs. $10$ lakhs in $2012$, at what price (in $Rs$.) was each air purifier sold?

A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportati...

Arjun

28.7k points

Arjun 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...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 20
For machining a rectangular island represented by coordinates $P(0,0), Q(100,0), R(100,50)$ and $S(0,50)$ on a casting using CNC milling machine, an end mill with a diameter of $16$ $mm$ ... $(0,0), (100,0), (100,50), (50,0), (0,0)$

For machining a rectangular island represented by coordinates $P(0,0), Q(100,0), R(100,50)$ and $S(0,50)$ on a casting using CNC milling machine, an end mill with a diame...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | GA Question: 2
Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements? All women are doctors All doctors are entrepreneurs All entrepreneurs are women Some entrepreneurs are doctors

Read the statements: All women are entrepreneurs. Some women are doctors.Which of the following conclusions can be logically inferred from the above statements?Al...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 51
Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01$ $kg$/$s$ and a temperature of $20^0$ $C$.The pipe, of diameter $50$ $mm$ and length $3$ $m$, is subjected to a wall heat flux ${q_{w}}''$ in $W$/$m^2$: ... $ $W$/$m^2$K$, the temperature in $_{}^{0}\textrm{C}$ at the inner surface of the pipe at the outlet is $71$ $76$ $79$ $81$

Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01$ $kg$/$s$ and a temperature of $20^0$ $C$.Thepipe, of diameter $50$ $mm$ and length $3$ ...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 36
A linear programming problem is shown below. $\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{array}$ It has an unbounded objective function. exactly one optimal solution. exactly two optimal solutions. infinitely many optimal solutions.

A linear programming problem is shown below.$\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 34
Two cutting tools are being compared for a machining operation. The tool life equations are: $\begin{array}{ll} \text{Carbide tool:} & VT^{1.6} = 3000 \\ \text{HSS tool:} & VT^{0.6} = 200 \end{array}$ where $V$ is the cutting speed in $m/min$ ... $m/min$ exceeds $15.0$ $39.4$ $49.3$ $60.0$

Two cutting tools are being compared for a machining operation. The tool life equations are:$\begin{array}{ll} \text{Carbide tool:} & VT^{1.6} = 3000 \\ \text{HSS tool:} ...

piyag476

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piyag476 asked Feb 19, 2017

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GATE Mechanical 2022 Set 2 | Question: 50
A rigid tank of volume of $8 \:m^{3}$ is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be completely evacuated. The air pressure and temperature ... temperature of the tank after the completion of the filling process is _______________ $K$ (round off to the nearest integer).

A rigid tank of volume of $8 \:m^{3}$ is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be c...

Arjun

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Arjun asked Feb 15, 2022

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Thermometer questions in thermodynamics
In a new temperature scale degree(symbol)P ,the boiling point of water is 100 degree(symbol)P and the freezing point of water is 300 degree(symbol)P .Find the reading corresponding to 0 degree(symbol)P in centrigrade scale . Solve the question and explain each step properly with detailed solutions

In a new temperature scale degree(symbol)P ,the boiling point of water is 100 degree(symbol)P and the freezing point of water is 300 degree(symbol)P .Find the reading cor...

Kumar Pranjal

120 points

Kumar Pranjal asked Apr 10, 2021

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GATE ME 2012 | Question: 19
An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the process is $Q$. The entropy change $\Delta S$ ... $mR \: \ln \bigg( \dfrac{P_2}{P_1} \bigg) - \dfrac{Q}{T_1} \\$ $\text{zero}$

An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the ...

Andrijana3306

1.5k points

Andrijana3306 asked Mar 19, 2018

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GATE2017 ME-1: 55
Two cutting tools with tool life equations given below are being compared: Tool $1$: $VT^{0.1}=150$ Tool $2$: $VT^{0.3}=300$ where $V$ is cutting speed in m/minute and $T$ is tool life in minutes. The breakeven cutting speed beyond which Tool $2$ will have a higher tool life is ________ m/minute.

Two cutting tools with tool life equations given below are being compared:Tool $1$: $VT^{0.1}=150$Tool $2$: $VT^{0.3}=300$where $V$ is cutting speed in m/minute and $T$ i...

Arjun

28.7k points

Arjun asked Feb 26, 2017

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GATE Mechanical 2016 Set 3 | GA Question: 5
S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have $6$ hour shifts in a day, whereas E and F have $12$ hours shifts. What is the ratio of contribution of M to contribution of E in the project? $1:1$ $1:2$ $1:4$ $2:1$

S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have $6$ hou...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2016 Set 1 | GA Question: 8
Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements ... the oldest of the three. Shiva is a better chess player than Pavithra. Pavithra is the youngest of the three.

Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithr...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE2016-1-21
Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that $T_{\text{welding}} > T_{\text{soldering}}> T_{\text{brazing}}$ ... $T_{\text{welding}} > T_{\text{brazing}} > T_{\text{soldering}}$

Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that$T_{\text{welding}} T_{...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE2015-2-33
A cantilever beam with square cross-section of $6 \: mm$ side is subjected to a load of $2 \: kN$ normal to the top surface as shown in the figure. The Young’s modulus of elasticity of the material of the beam is $210 \: GPa$. The magnitude of slope (in radian) at $Q$ ($20 \: mm$ from the fixed end) is ________

A cantilever beam with square cross-section of $6 \: mm$ side is subjected to a load of $2 \: kN$ normal to the top surface as shown in the figure. The Young’s modulus ...

Arjun

28.7k points

Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | Question: 39
Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints $x_1+x_2 \leq 8$ $x_1+2x_2 \leq 4$ $x_1 \geq 0$ , $x_2 \geq 0$ The maximum value of the objective function is _______

Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints$x_1+x_2 \leq 8$$x_1+2x_2 \leq 4$$x_1 \geq 0$ , $x_2 \geq 0$The maximum value of the objective...

Arjun

28.7k points

Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 48
A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details. width of the plate w = $200$ $mm$, thickness of the plate $t$ = $5$ $mm$, number of rivets $n$ = $3$, diameter of the rivet ... be designed to avoid crushing failure, the maximum permissible load $P$ in $kN$ is $7.50$ $15.00$ $22.50$ $30.00$

A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details.width of the plate w = $200$ $mm$, thickn...

piyag476

1.4k points

piyag476 asked Feb 19, 2017

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GATE Mechanical 2022 Set 1 | Question: 13
The Clausius inequality holds good for any process any cycle only reversible process only reversible cycle

The Clausius inequality holds good forany processany cycleonly reversible processonly reversible cycle

Arjun

28.7k points

Arjun asked Feb 15, 2022