Questions by Arjun / GO Mechanical

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GATE Mechanical 2014 Set 4 | Question: 52
A GO-No GO plug gauge is to be designed for measuring a hole of nominal diameter $25$ $mm$ with a hole tolerance of $\pm 0.015$ $mm$. Considering $10 \%$ of work tolerance to be the gauge tolerance and no wear condition, the dimension (in $mm$) of the GO plug gauge as per ... $25.015^{+0.000 \\ -0.006 }$ $24.985^{+0.03 \\ -0.03}$ $24.985^{+0.003 \\ -0.000}$

A GO-No GO plug gauge is to be designed for measuring a hole of nominal diameter $25$ $mm$ with a hole tolerance of $\pm 0.015$ $mm$. Considering $10 \%$ of work toleranc...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 53
A cylindrical riser of $6\text{ cm}$ diameter and $6 \text{ cm}$ height has to be designed for a sand casting mould for producing a steel rectangular plate casting of $7 \text{ cm} \times 10 \text{ cm} \times 2 \text{ cm}$ dimensions having the total solidification time of $1.36$ minute. The total solidification time (in minute) of the riser is _______

A cylindrical riser of $6\text{ cm}$ diameter and $6 \text{ cm}$ height has to be designed for a sand casting mould for producing a steel rectangular plate casting of $7 ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 54
A cast iron block of $200$ $mm$ length is being shaped in a shaping machine with a depth of cut of $4$ $mm$, feed of $0.25$ $mm$/stroke and the tool principal cutting edge angle of $30^{\circ}$. Number of cutting strokes per minute is $60$. Using specific energy for cutting as $1.49$ $J/mm^3$, the average power consumption (in watt) is _______

A cast iron block of $200$ $mm$ length is being shaped in a shaping machine with a depth of cut of $4$ $mm$, feed of $0.25$ $mm$/stroke and the tool principal cutting edg...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 55
A butt weld joint is developed on steel plates having yield and ultimate tensile strength of $500$ $MPa$ and $700$ $MPa$, respectively. The thickness of the plates is $8$ $mm$ and width is $20$ $mm$. Improper selection of ... $mm$ depth along the weld. The maximum transverse tensile load (in $kN$) carrying capacity of the developed weld joint is _______

A butt weld joint is developed on steel plates having yield and ultimate tensile strength of $500$ $MPa$ and $700$ $MPa$, respectively. The thickness of the plates is $8$...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 40
A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of the force $P$ (in newton) required to maintain equilibrium of the ladder is _______

A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 41
A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^{\circ}$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constant pressure is $16.2$ $MJ$. If the entropy of the saturated liquid is $0.88$ $kJ/kg.K$, the entropy (in $kJ/kg.K$) of saturated vapour is _______

A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^{\circ}$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constan...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 42
A plane wall has a thermal conductivity of $1.15$ $W/m.K$. If the inner surface is at $1100^{\circ} C$ and the outer surface is at $350^{\circ} C$, then the design thickness (in meter) of the wall to maintain a steady heat flux of $2500$ $W/m^2$ should be _______

A plane wall has a thermal conductivity of $1.15$ $W/m.K$. If the inner surface is at $1100^{\circ} C$ and the outer surface is at $350^{\circ} C$, then the design thickn...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 43
Consider the following statements regarding streamline(s): It is a continuous line such that the tangent at any point on it shows the velocity vector at that point There is no flow across streamlines $\dfrac{dx}{u}=\dfrac{dy}{v}=\dfrac{dz}{w}$ is the differential equation of a ... $(ii), (iii), (iv)$ $(i), (iii), (iv)$ $(i), (ii), (iii)$

Consider the following statements regarding streamline(s):It is a continuous line such that the tangent at any point on it shows the velocity vector at that pointThere is...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 44
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is $-K$ $K$ $-K/2$ $K/2$

Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is$-K$$K$$-K/2$$K/2$

asked Feb 19, 2017

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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/...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 46
Two identical metal blocks L and M (specific heat = $0.4$ $kJ/kg.K$), each having a mass of $5$ $kg$, are initially at $313$ $K$. A reversible refrigerator extracts heat from block L and rejects heat to block M until the temperature of block L reaches $293$ $K$. The final temperature (in $K$) of block M is _______

Two identical metal blocks L and M (specific heat = $0.4$ $kJ/kg.K$), each having a mass of $5$ $kg$, are initially at $313$ $K$. A reversible refrigerator extracts heat ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 47
Steam with specific enthalpy $(h)$ $3214$ $kJ/kg$ enters an adiabatic turbine operating at steady state with a flow rate $10$ $kg/s$. As it expands, at a point where h is $2920$ $kJ/kg$, $1.5$ $kg/s$ is extracted for heating ... = $2374$ $kJ/kg$. Neglecting changes in kinetic and potential energies, the net power output (in $kW$) of the turbine is _______

Steam with specific enthalpy $(h)$ $3214$ $kJ/kg$ enters an adiabatic turbine operating at steady state with a flow rate $10$ $kg/s$. As it expands, at a point where h is...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 48
Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce heat exchange between the plates. Assume that the emissivities of plates and radiation shield are equal ... exchange between the plates with and without the shield is $1/2$ $1/3$ $1/4$ $1/8$

Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce he...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 49
In a compression ignition engine, the inlet air pressure is $1$ bar and the pressure at the end of isentropic compression is $32.42$ bar. The expansion ratio is $8$. Assuming ratio of specific heats $(γ)$ as $1.4$, the air standard efficiency (in percent) is _______

In a compression ignition engine, the inlet air pressure is $1$ bar and the pressure at the end of isentropic compression is $32.42$ bar. The expansion ratio is $8$. Assu...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 50
The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities $e$ and $f$ ... $0$ and $4$ $1$ and $4$ $2$ and $3$ $3$ and $1$

The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities $e$ and $f$ , respectiv...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 51
At a work station, $5$ jobs arrive every minute. The mean time spent on each job in the work station is $1/8$ minute. The mean steady state number of jobs in the system is _______

At a work station, $5$ jobs arrive every minute. The mean time spent on each job in the work station is $1/8$ minute. The mean steady state number of jobs in the system i...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 27
The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is $\dfrac{1}{2}(e-1) \\$ $\dfrac{1}{2}(e^2-1)^2 \\$ $\dfrac{1}{2}(e^2-e) \\$ $\dfrac{1}{2}(e-\frac{1}{e})^2$

The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is$\dfrac{1}{2}(e-1) \\$$\dfrac{1}{2}(e^2-1)^2 \\$$\dfrac{1}{2}(e^2-e) \\$$\dfrac{1}{2}(e-\frac{1}{e})^2$

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 28
The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $5.2$. The probability of occurrence of less than $2$ accidents in the plant during a randomly selected month is $0.029$ $0.034$ $0.039$ $0.044$

The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $5.2$. The probability of occurrence of less than $2$ accidents in the p...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 29
Consider an ordinary differential equation $\dfrac{dx}{dt}=4t+4$. If $x = x_0$ at $t = 0$, the increment in $x$ calculated using Runge-Kutta fourth order multi-step method with a step size of $\Delta t = 0.2$ is $0.22$ $0.44$ $0.66$ $0.88$

Consider an ordinary differential equation $\dfrac{dx}{dt}=4t+4$. If $x = x_0$ at $t = 0$, the increment in $x$ calculated using Runge-Kutta fourth order multi-step metho...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 30
A shaft is subjected to pure torsional moment. The maximum shear stress developed in the shaft is $100$ $MPa$. The yield and ultimate strengths of the shaft material in tension are $300$ $MPa$ and $450$ $MPa$, respectively. The factor of safety using maximum distortion energy (von-Mises) theory is _______

A shaft is subjected to pure torsional moment. The maximum shear stress developed in the shaft is $100$ $MPa$. The yield and ultimate strengths of the shaft material in t...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 31
A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ $MPa$. The minimum cylinder wall thickness (in $mm$) for safe design must be _______

A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 32
For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is $11.25$ tension $11.25$ compression $13.5$ tension $13.5$ compression

For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is$11.25$ tension$11.25$ compr...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 33
It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion increases decreases first increases and then decreases remains unchanged

It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 34
A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of the angular acceleration (in $rad/s^2$) of the rod at the position shown is _______

A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 35
A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the threaded portion in grip is $30$ $mm$, while the length of ... Young's modulus of material is $200$ $GPa$. The effective stiffness (in $MN/m$) of the bolt in the clamped zone is_______

A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the thr...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 36
A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point $A$ due to the applied load $P$ is $\dfrac{1}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{2}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{PL^3}{EI} \\$ $\dfrac{4}{3}\dfrac{PL^3}{EI}$

A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 37
A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A force $P$ ... and the wardrobe, respectively? $490.5$ and $0.5$ $981$ and $0.5$ $1000.5$ and $0.15$ $1000.5$ and $0.25$

A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A forc...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 38
Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 39
A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequency of $1.5$ $rad/s$ is _______

A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequenc...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 14
A flow field which has only convective acceleration is a steady uniform flow an unsteady uniform flow a steady non-uniform flow an unsteady non-uniform flow

A flow field which has only convective acceleration isa steady uniform flowan unsteady uniform flowa steady non-uniform flowan unsteady non-uniform flow

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 15
Match Group A with Group B: ... $P-4, Q-3, R-1, S-2$ $P-3, Q-2, R-1, S-4$ $P-2, Q-1, R-3, S-4$

Match Group A with Group B:$\begin{array}{|l|l|} \hline \textbf{Group A} & \textbf{Group B} \\ \hline \text{P: Biot number} & \text{1: Ratio of buoyancy to viscous force}...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 16
Kaplan water turbine is commonly used when the flow through its runner is axial and the head available is more than $100$ $m$ axial and the head available is less than $10$ $m$ radial and the head available is more than $100$ $m$ mixed and the head available is about $50$ $m$

Kaplan water turbine is commonly used when the flow through its runner isaxial and the head available is more than $100$ $m$axial and the head available is less than $10$...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 17
Moist air at $35^{\circ} C$ and $100 \%$ relative humidity is entering a psychometric device and leaving at $25^{\circ} C$ and $100\%$ relative humidity. The name of the device is Humidifier Dehumidifier Sensible heater Sensible cooler

Moist air at $35^{\circ} C$ and $100 \%$ relative humidity is entering a psychometric device and leaving at $25^{\circ} C$ and $100\%$ relative humidity. The name of the ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 18
The total number of decision variables in the objective function of an assignment problem of size $n × n$ ($n$ jobs and $n$ machines) is $n^2$ $2n$ $2n-1$ $n$

The total number of decision variables in the objective function of an assignment problem of size $n × n$ ($n$ jobs and $n$ machines) is$n^2$$2n$$2n-1$$n$

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 19
Demand during lead time with associated probabilities is shown below: Expected demand during lead time is _______

Demand during lead time with associated probabilities is shown below:Expected demand during lead time is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 20
Within the Heat Affected Zone (HAZ) in a fusion welding process, the work material undergoes microstructural changes but does not melt neither melting nor microstructural changes both melting and microstructural changes after solidification melting and retains the original microstructure after solidification

Within the Heat Affected Zone (HAZ) in a fusion welding process, the work material undergoesmicrostructural changes but does not meltneither melting nor microstructural c...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 21
Two separate slab milling operations, $1$ and $2$, are performed with identical milling cutters. The depth of cut in operation $2$ is twice that in operation $1$. The other cutting parameters are identical. The ratio of maximum uncut chip thicknesses in operations $1$ and $2$ is _______

Two separate slab milling operations, $1$ and $2$, are performed with identical milling cutters. The depth of cut in operation $2$ is twice that in operation $1$. The oth...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 22
The principle of material removal in Electrochemical machining is Fick's law Faraday's laws Kirchhoff'’s laws Ohm’s law

The principle of material removal in Electrochemical machining isFick's lawFaraday's lawsKirchhoff'’s lawsOhm’s law

asked Feb 19, 2017

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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...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 24
Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel ... $P-III, Q-II, R-IV, S-I$ $P-II, Q-III, R-I, S-IV$

Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel$\begin{array}{|l|l|} \hline \textbf{Group A} & \t...

asked Feb 19, 2017