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GATE2015-3-37
Refrigerant vapor enters into the compressor of a standard vapor compression cycle at −$10^\circ C \:(h = 402 \: kJ/kg)$ and leaves the compressor at $50^\circ C \: (h = 432 \: kJ/kg)$. It leaves the condenser at $30^\circ C \: (h = 237 \: kJ/kg)$. The COP of the cycle is ________

Refrigerant vapor enters into the compressor of a standard vapor compression cycle at −$10^\circ C \:(h = 402 \: kJ/kg)$ and leaves the compressor at $50^\circ C \: (h ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-15
If a foam insulation is added to a $4 \: cm$ outer diameter pipe as shown in the figure, the critical radius of insulation (in $cm$) is _____________

If a foam insulation is added to a $4 \: cm$ outer diameter pipe as shown in the figure, the critical radius of insulation (in $cm$) is _____________

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-7
A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ $MPa$, the change in the strain is $0.001$. If the Poisson’s ratio of the rod is $0.3$, the modulus of rigidity (in $GPa$) is ________________

A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ $MPa$, the change in the strain is $0.001$. If the Poisson’s ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-1-47
For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows: $u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $C_1$ and $C_2$ ... mean velocity of flow. The value of $T_m$ is $\dfrac{0.5C_2}{U_m} \\$ $0.5C_2 \\$ $0.6C_2 \\$ $\dfrac{0.6C_2}{U_m}$

For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows:$u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 7
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step ... sum of the yellow and blue lights The sum of the red and blue lights is equal to the sum of the green and yellow lights

Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on t...

Arjun

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Arjun 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...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 43
A horizontal beam of length $1200 \mathrm{~mm}$ is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is ________ $\text{N.m}$. (round off to $1$ decimal place)

A horizontal beam of length $1200 \mathrm{~mm}$ is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying distribut...

admin

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admin asked Feb 16

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GATE Mechanical 2021 Set 2 | Question: 47
Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below: Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of water at location $5$ is $\text{226.7 kJ/kg}$ and specific enthalpy ... then the mass flow rate of steam at location $2$ will be ________ $\text{kg/s}$ (round off to one decimal place).

Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below:Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of...

go_editor

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go_editor asked Mar 1, 2021

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GATE ME 2012 | Question: 1
In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate increases continuously decreases continuously decreases, becomes stable and then increases increases, becomes stable and then decreases

In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rateincreases continuouslydecreases continuouslydec...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE2016-3-1
A real square matrix $\textbf{A}$ is called skew-symmetric if $A^T=A$ $A^T=A^{-1}$ $A^T=-A$ $A^T=A+A^{-1}$

A real square matrix $\textbf{A}$ is called skew-symmetric if$A^T=A$$A^T=A^{-1}$$A^T=-A$$A^T=A+A^{-1}$

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-25
An air-standard Diesel cycle consists of the following processes: $1 - 2$: Air is compressed isentropically. $2 - 3$: Heat is added at constant pressure. $3 - 4$: Air expands isentropically to the original volume. $4 - 1$: Heat is rejected at constant volume. If $\gamma$ ... $1-\displaystyle{\frac{T_4-T_1}{(\gamma -1)(T_3-T_2)}}$

An air-standard Diesel cycle consists of the following processes:$1 – 2$: Air is compressed isentropically.$2 – 3$: Heat is added at constant pressure.$3 – 4$: Air ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-40
The head loss for a laminar incompressible flow through a horizontal circular pipe is $h_1$. Pipe length and fluid remaining the same, if the average flow velocity doubles and the pipe diameter reduces to half its previous value, the head loss is $h_2$. The ratio $h_2$/$h_1$ is $1$ $4$ $8$ $16$

The head loss for a laminar incompressible flow through a horizontal circular pipe is $h_1$. Pipe length and fluid remaining the same, if the average flow velocity double...

Arjun

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GATE2015-2-37
A hollow shaft of $1 \: m$ length is designed to transmit a power of $30\: kW$ at $700 \text{rpm}$. The maximum permissible angle of twist in the shaft is $1^{\circ}$. The inner diameter of the shaft is $0.7$ times the outer diameter. The modulus of rigidity is $80 \: GPa$. The outside diameter (in $mm$) of the shaft is__________

A hollow shaft of $1 \: m$ length is designed to transmit a power of $30\: kW$ at $700 \text{rpm}$. The maximum permissible angle of twist in the shaft is $1^{\circ}$. Th...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-1-16
Two identical trusses support a load of $100$ $N$ as shown in the figure. The length of each truss is $1.0$ $m$; cross-sectional area is $200$ $mm^2$; Young’s modulus $E$ = $200$ $GPa$. The force in the truss $AB$ (in $N$) is _________

Two identical trusses support a load of $100$ $N$ as shown in the figure. The length of each truss is $1.0$ $m$; cross-sectional area is $200$ $mm^2$; Young’s modulus $...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | Question: 16
A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained from the heat source is _______

A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained fro...

Arjun

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Arjun 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...

Arjun

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Arjun asked Feb 19, 2017

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ISRO2017-1-1
A beam is fixed at one end and is vertically supported at the other end. What is the degree of statistical indeterminacy? $1$ $2$ $3$ $4$

A beam is fixed at one end and is vertically supported at the other end. What is the degree of statistical indeterminacy?$1$$2$$3$$4$

m2n037

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m2n037 asked Mar 4, 2018

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GATE2016-2-20
In a single-channel queuing model, the customer arrival rate is $12$ per hour and the serving rate is $24$ per hour. The expected time that a customer is in queue is _______ minutes.

In a single-channel queuing model, the customer arrival rate is $12$ per hour and the serving rate is $24$ per hour. The expected time that a customer is in queue is ____...

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-1-27
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________

If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | Question: 11
Gear $2$ rotates at $1200$ $rpm$ in counter clockwise direction and engages with Gear $3$. Gear $3$ and Gear $4$ are mounted on the same shaft. Gear $5$ engages with Gear $4$. The numbers of teeth on Gears $2$, $3$, $4$ ... angular speed of Gear $5$ is $300$ $rpm$ counterclockwise $300$ $rpm$ clockwise $4800$ $rpm$ counterclockwise $4800$ $rpm$ clockwise

Gear $2$ rotates at $1200$ $rpm$ in counter clockwise direction and engages with Gear $3$. Gear $3$ and Gear $4$ are mounted on the same shaft. Gear $5$ engages with Gear...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 2
Which of the options given below best completes the following sentence? She will feel much better if she ________________. will get some rest gets some rest will be getting some rest is getting some rest

Which of the options given below best completes the following sentence?She will feel much better if she ________________.will get some restgets some restwill be getting s...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 15
For a completely submerged body with Centre of gravity ‘G’ and Centre of buoyancy ‘B’, the condition of stability will be G is located below B G is located above B G and B are coincident independent of the locations of G and B

For a completely submerged body with Centre of gravity ‘G’ and Centre of buoyancy ‘B’, the condition of stability will beG is located below BG is located above BG...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 41
A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. Experiments show that the distance $L$ travelled by the liquid meniscus inside the capillary in time $t$ is given by \[ L=k \gamma^{a} R^{b} \ ... of the liquid. If $k$ is a dimensionless constant, then the exponent $a$ is ________ (rounded off to $1$ decimal place).

A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. Experiments show that the distance $L$ travelled by the liquid meniscus ...

admin

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admin asked Feb 16

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GATE Mechanical 2021 Set 1 | Question: 15
The relative humidity of ambient air at $\text{300 K}$ is $50\%$ with a partial pressure of water vapour equal to $p_{v}$. The saturation pressure of water at $\text{300 K}$ is $p_{sat}$. The correct relation for the air-water mixture is $p_{v}=0.5\:p_{sat}$ $p_{v}=p_{sat}$ $p_{v}=0.622\:p_{sat}$ $p_{v}=2\:p_{sat}$

The relative humidity of ambient air at $\text{300 K}$ is $50\%$ with a partial pressure of water vapour equal to $p_{v}$. The saturation pressure of...

gatecse

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gatecse asked Feb 22, 2021

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GATE2020-ME-1: 38
A cam with a translating flat-face follower is desired to have the follower motion $y\left ( \theta \right )=4\left [ 2\pi \theta -\theta ^{2} \right ],\:\:\:0\leq \theta \leq 2\pi .$ Contact stress considerations dictate that the radius ... should not be less than $40\:mm$ anywhere. The minimum permissible base circle radius is _________$mm$ (round off to one decimal place).

A cam with a translating flat-face follower is desired to have the follower motion$$y\left ( \theta \right )=4\left [ 2\pi \theta -\theta ^{2} \right ],\:\:\:0\leq \thet...

go_editor

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go_editor asked Feb 19, 2020

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GATE2016-3-3
Solutions of Laplace’s equation having continuous second-order partial derivatives are called biharmonic functions harmonic functions conjugate harmonic functions error functions

Solutions of Laplace’s equation having continuous second-order partial derivatives are calledbiharmonic functionsharmonic functionsconjugate harmonic functionserror fun...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-52
A single point cutting tool with $0^\circ $ rake angle is used in an orthogonal machining process. At a cutting speed of $180$ $m/min$, the thrust force is $490$ $N$. If the coefficient of friction between the tool and the chip is $0.7$, then the power consumption (in $kW$) for the machining operation is ________

A single point cutting tool with $0^\circ $ rake angle is used in an orthogonal machining process. At a cutting speed of $180$ $m/min$, the thrust force is $490$ $N$. If ...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 4
A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0.167; 2 \rightarrow 0.167; 3\rightarrow 0.152; 4 \rightarrow 0.166; 5\rightarrow 0.168; 6\rightarrow 0.180$. We call this die irregular biased Gaussian insufficient

A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0....

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 44
A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated ... steady state heat conduction for the configuration, the thermal conductivity ($k$, in $W/m.K$) of material $P$ is _______

A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 28
A company orders gears in conditions identical to those considered in the economic order quantity $\text{(EOQ)}$ model in inventory control. The annual demand is $8000$ gears, the cost per order is $300$ rupees, and the holding cost is $12$ ... cost of ordering and holding inventory from that associated with the optimal order quantity is $2.5$ $5$ $0$ $12.5$

A company orders gears in conditions identical to those considered in the economic order quantity $\text{(EOQ)}$ model in inventory control. The annual demand...

admin

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admin asked Feb 16

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GATE Mechanical 2021 Set 2 | Question: 41
The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thickness by $10\%$ and increases the width by $3\%$. The length of the rolled slab is ________ $\text{mm} \:(\textit{round off to one decimal place}$).

The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thick...

go_editor

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go_editor asked Mar 1, 2021

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GATE Mechanical 2021 Set 1 | Question: 44
A solid sphere of radius $\text{10 mm}$ is placed at the centroid of a hollow cubical enclosure of side length $\text{30 mm}$. The outer surface of the sphere is denoted by $1$ and the inner surface of the cube is denoted by $2$. The view factor $F_{22}$ for radiation heat transfer is ______ ($\textit{rounded off to two decimal places}$).

A solid sphere of radius $\text{10 mm}$ is placed at the centroid of a hollow cubical enclosure of side length $\text{30 mm}$. The outer surface of the sphere is denoted ...

gatecse

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gatecse asked Feb 22, 2021

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ISRO2009-5
Across a normal shock Static pressure and the static temperature rise entropy remains constant velocity and static pressure decrease density and temperature decrease

Across a normal shockStatic pressure and the static temperature riseentropy remains constantvelocity and static pressure decreasedensity and temperature decrease

m2n037

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m2n037 asked Mar 6, 2018

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GATE2017 ME-1: 16
Consider a beam with circular cross-section of diameter $d$. The ratio of the second moment of area about the neutral axis to the section modulus of the area is $\dfrac{d}{2} \\$ $\dfrac{\pi d}{2} \\$ $d \\$ $\pi d$

Consider a beam with circular cross-section of diameter $d$. The ratio of the second moment of area about the neutral axis to the section modulus of the area is$\dfrac{d}...

Arjun

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Arjun asked Feb 26, 2017

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GATE2016-3-46
In a $3$-stage air compressor, the inlet pressure is $p_1$, discharge pressure is $p_4$.and the intermediate pressures are $p_2$ and $p_3 ( p_2 < p_3)$. The total pressure ratio of the compressor is $10$ and the pressure ratios of the stages are equal. If $p_1 = 100$ $kPa$, the value of the pressure $p_3$ (in $kPa$) is __________

In a $3$-stage air compressor, the inlet pressure is $p_1$, discharge pressure is $p_4$.and the intermediate pressures are $p_2$ and $p_3 ( p_2 < p_3)$. The total pressur...

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-3-13
A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is $0.9$ $m^3/s$ and the velocity ... velocity in the sub-channel of width $300$ $mm$ is _____________ $m/s$. Assume both inlet and outlet to be at the same elevation.

A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of...

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-1-24
In an orthogonal cutting process the tool used has rake angle of zero degree. The measured cutting force and thrust force are $500 \: N$ and $250 \: N$, respectively. The coefficient of friction between the tool and the chip is _________

In an orthogonal cutting process the tool used has rake angle of zero degree. The measured cutting force and thrust force are $500 \: N$ and $250 \: N$, respectively. The...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-12
Saturated vapor is condensed to saturated liquid in a condenser. The heat capacity ratio is $C_r = \displaystyle{\frac{C_{\text{min}}}{C_{\text{max}}}}$. The effectiveness $(\varepsilon)$ of the condenser is $\displaystyle{\frac{1-\text{exp}[-NTU(1+C_r)]}{1+C_r}} \\$ ... $\displaystyle{\frac{NTU}{1+NTU}} \\$ $1 - \text{exp}(-NTU)$

Saturated vapor is condensed to saturated liquid in a condenser. The heat capacity ratio is $C_r = \displaystyle{\frac{C_{\text{min}}}{C_{\text{max}}}}$. The effectivenes...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-1
At least one eigenvalue of a singular matrix is positive zero negative imaginary

At least one eigenvalue of a singular matrix ispositivezeronegativeimaginary

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-1-13
A wheel of radius $r$ rolls without slipping on a horizontal surface shown below. If the velocity of point $P$ is $10$ $m/s$ in the horizontal direction, the magnitude of velocity of point $Q$ (in $m/s$) is ______

A wheel of radius $r$ rolls without slipping on a horizontal surface shown below. If the velocity of point $P$ is $10$ $m/s$ in the horizontal direction, the magnitude of...

Arjun

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Arjun asked Feb 24, 2017