Questions by Arjun / GO Mechanical

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GATE2015-2-8
A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$) in the wall is $35$ $70$ $140$ $280$

A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$)...

asked Feb 24, 2017

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

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

asked Feb 24, 2017

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GATE2015-2-10
In a spring-mass system, the mass is m and the spring constant is $k$. The critical damping coefficient of the system is $0.1$ $kg/s$. In another spring-mass system, the mass is $2m$ and the spring constant is $8k$. The critical damping coefficient (in $kg/s$) of this system is ____________

In a spring-mass system, the mass is m and the spring constant is $k$. The critical damping coefficient of the system is $0.1$ $kg/s$. In another spring-mass system, the ...

asked Feb 24, 2017

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GATE2015-2-11
The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______

The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______

asked Feb 24, 2017

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GATE2015-2-12
If the fluid velocity for a potential flow is given by $V(x,y)=u(x,y)i+v(x,y)j$ with usual notations, then the slope of the potential line at $(x,y)$ is $\dfrac{v}{u} \\$ $-\dfrac{u}{v} \\$ $\dfrac{u^2}{v^2} \\$ $\dfrac{u}{v}$

If the fluid velocity for a potential flow is given by $V(x,y)=u(x,y)i+v(x,y)j$ with usual notations, then the slope of the potential line at $(x,y)$ is$\dfrac{v}{u} \\$$...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 1
Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence: Dhoni,as well as the other team members of Indian team,______present on the occasion were was has have

Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence:Dhoni,as well as the other team members of Indian team,______pr...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 2
Choose the word most similar in meaning to the given word Awkward Inept Graceful Suitable Dreadful

Choose the word most similar in meaning to the given wordAwkwardIneptGracefulSuitableDreadful

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 3
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous

What is the adverb for the given word below?MisogynousMisogynousnessMisogynityMisogynouslyMisogynous

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered.During a single day of operation,the bus travels on stretches M,N,O,and P, in that order.The cumulative ... $km$ is minimum is $M$ $N$ $O$ $P$

An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered.During a single day ...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department.The probability of Ram's selection is $1/6$ and of Ramesh is $1/8$.What is the pobabilty that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$

Ram and Ramesh appeared in an interview for two vacancies in the same department.The probability of Ram's selection is $1/6$ and of Ramesh is $1/8$.What is the pobabilty ...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 6
In the following sentence certain parts are underlined and marked P,Q and R.One of the parts may contain certain error or may not be acceptable in standard written communication.select the part containing an error.choose D as your answer if there is no error. ... $P$ $Q$ $R$ no error

In the following sentence certain parts are underlined and marked P,Q and R.One of the parts may contain certain error or may not be acceptable in standard written commun...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 7
Given below are two statements followed by two conclusions.Assuming these statements to be true,decide which one logically follows Statements: All film stars are playback singers. All film directors are film stars Conclusions: All film ... conclusion I follows Only conclusion II follows Neither conclusion I nor II follows both conclusion I nor II follows

Given below are two statements followed by two conclusions.Assuming these statements to be true,decide which one logically followsStatements:All film stars are playback s...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree.The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer covers $8$ meter and $5$ meter per leap respectively,what distance in meters will the tiger have to run before it catches the deer?

A tiger is $50$ leaps of its own behind a tree.The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer covers $8$ meter and $5$ meter per leap r...

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$

if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval$[1,2/3]$$[-1/2,1]$$[-1,1/2]$$[2,-4]$

asked Feb 24, 2017

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GATE Mechanical 2015 Set 1 | GA Question: 10
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's budget. ... these days (iii) and (iv) (i) and (ii) (i),(ii) and (iii) (i) and (ii)

Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to...

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 $...

asked Feb 24, 2017

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GATE2015-1-48
Match the following pairs: \begin{array}{|l|l|l|l|} \hline &\textbf{Equation} && \textbf{Physical Interpretation} \\ \hline P. & \nabla \times \overrightarrow{V}=0 & I. & \text{ Incompressible continuity equation} \\ \hline Q. & \nabla \bullet \overrightarrow{V}=0 & II. ... $P-IV, Q-III, R-I, S-II$ $P-III, Q-I, R-IV, S-II$ $P-III, Q-I, R-II, S-IV$

Match the following pairs:\begin{array}{|l|l|l|l|} \hline &\textbf{Equation} && \textbf{Physical Interpretation} \\ \hline P. & \nabla \times \overrightarrow{V}=0 & I. & ...

asked Feb 24, 2017

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GATE2015-1-49
The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b_2$ is ___________

The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b...

asked Feb 24, 2017

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GATE2015-1-50
A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coefficient at the insulation surface is $10$ $W/m^2-K$. Addition of ... heat loss continuously increase heat loss to a maximum and then decrease heat loss decrease heat loss to a minimum and then increase heat loss

A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coeffi...

asked Feb 24, 2017

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GATE2015-1-51
Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in the end open to atmosphere). The universal gas constant is $8314$ $J$/$kmol$-$K$, atmospheric ... $m$/$s^2$ and density of mercury is $13600$ $kg$/$m^3$. The mass of nitrogen (in $kg$) in the vessel is _____________

Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in ...

asked Feb 24, 2017

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GATE2015-1-52
Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of length $2.5$ $m$. If the average value of friction coefficient is $C_f=\dfrac{1.328}{\sqrt{Re_x}}$, the total drag force (in $N$) per unit width of the plate is _______

Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of lengt...

asked Feb 24, 2017

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GATE2015-1-53
Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measured to be $400 \: kPa$ and $130 \: kPa$ respectively. Assuming the venturimeter to be horizontal and neglecting friction, the inlet velocity (in $m/s$) is _______

Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measu...

asked Feb 24, 2017

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GATE2015-1-54
A well insulated rigid container of volume $1 \: m^3$ contains $1.0 \: kg$ of an ideal gas $[C_p = 1000 \: J/(kg\cdot K)$ and $C_v=800 J/(kg \cdot K)]$ at a pressure of $105 \: Pa$. A stirrer is rotated at constant rpm in the container for $1000$ rotations and the applied torque is $100 \: N-m$. The final temperature of the gas (in $K$) is $500.0$ $773.0$ $785.4$ $1285.4$

A well insulated rigid container of volume $1 \: m^3$ contains $1.0 \: kg$ of an ideal gas $[C_p = 1000 \: J/(kg\cdot K)$ and $C_v=800 J/(kg \cdot K)]$ at a pressure of ...

asked Feb 24, 2017

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GATE2015-1-55
Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $20$ percent of the mass is extracted for process heating and the remaining steam expands isentropically to $9 \: kPa$ ... If the flow rate of steam entering the turbine is $100$ $kg/s$, then the work output (in $MW$) is _________

Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $20$ percent of the mass is extracted for process heating and th...

asked Feb 24, 2017

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GATE2015-1-35
An orthogonal turning operation is carried out under the following conditions: rake angle = $5^{\circ}$; spindle rotational speed = $400 \text{ rpm}$; axial feed = $0.4 \text{ m/min}$ and radial depth of cut = $5 \text{ mm}$. The chip thickness, $t_c$, is found to be $3 \text{ mm}$. The shear angle (in degrees) in this turning process is_____

An orthogonal turning operation is carried out under the following conditions: rake angle = $5^{\circ}$; spindle rotational speed = $400 \text{ rpm}$; axial feed = $0.4 \...

asked Feb 24, 2017

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GATE2015-1-36
The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area losing heat. Two cubes of same material and size are cast using sand casting process. The top face of one of ... insulated to that of the other cube is $\dfrac{25}{36} \\$ $\dfrac{36}{25} \\$ $1 \\$ $\dfrac{6}{5}$

The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area...

asked Feb 24, 2017

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GATE2015-1-37
In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coefficient of friction between the roll and the sheet. If $\mu$ = $0.1$, the maximum angle subtended by the deformation zone at the centre of the roll (bite angle in degrees) is _______

In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coef...

asked Feb 24, 2017

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GATE2015-1-38
Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is $\sqrt{\dfrac{400}{1}} \\$ $\sqrt{\dfrac{400}{2}} \\$ $\sqrt{\dfrac{400}{3}} \\$ $\sqrt{\dfrac{400}{4}} $

Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is$\sqrt{\dfrac{400}{1}} \\$$\sqr...

asked Feb 24, 2017

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GATE2015-1-39
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively $122.47$ $kN$ and $50$ $kN$ $70.71$ $kN$ and $100$ $kN$ $70.71$ $kN$ and $50$ $kN$ $81.65$ $kN$ and $100$ $kN$

For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively$122.47$ $kN$ and $50$ $kN$$70.71$ $kN$ and $100$ $kN...

asked Feb 24, 2017

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GATE2015-1-40
A ball of mass $0.1 \text{ kg}$, initially at rest, is dropped from height of $1$m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by $20 \%$. The height (in $m$) to which the ball will rise is _______

A ball of mass $0.1 \text{ kg}$, initially at rest, is dropped from height of $1$m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velo...

asked Feb 24, 2017

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GATE2015-1-41
A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($F_1$ and $F_2$) of interaction. Which of the following ... $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1};$

A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body di...

asked Feb 24, 2017

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GATE2015-1-42
A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a ... RPM for which the mobile will get just lifted off the ground at the end $Q$ is approximately $3000$ $3500$ $4000$ $4500$

A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the ...

asked Feb 24, 2017

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

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

asked Feb 24, 2017

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GATE2015-1-44
A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______

A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______

asked Feb 24, 2017

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GATE2015-1-45
A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural ... $N/m$) of the required mounting pad is _____

A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration ampli...

asked Feb 24, 2017

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GATE2015-1-46
A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _______

A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _...

asked Feb 24, 2017

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GATE2015-1-23
Under certain cutting conditions, doubling the cutting speed reduces the tool life to $\left (\dfrac{1}{16} \right)^{th}$ of the original. Taylor’s tool life index ($n$) for this tool-workpiece combination will be _______

Under certain cutting conditions, doubling the cutting speed reduces the tool life to $\left (\dfrac{1}{16} \right)^{th}$ of the original. Taylor’s tool life index ($n$...

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

asked Feb 24, 2017

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GATE2015-1-25
The function of interpolator in a CNC machine controller is to control spindle speed coordinate feed rates of axes control tool rapid approach speed perform Miscellaneous (M) functions (tool change, coolant control etc.)

The function of interpolator in a CNC machine controller is tocontrol spindle speedcoordinate feed rates of axescontrol tool rapid approach speedperform Miscellaneous (M)...

asked Feb 24, 2017

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GATE2015-1-26
Consider a spatial curve in three-dimensional space given in parametric form by $x(t)= \cos t, \:y(t)=\sin t, z(t)=\dfrac{2}{\pi } t \: 0\leq t\leq \dfrac{\pi }{2}$ The length of the curve is _______

Consider a spatial curve in three-dimensional space given in parametric form by $$x(t)= \cos t, \:y(t)=\sin t, z(t)=\dfrac{2}{\pi } t \: 0\leq t\leq \dfrac{\pi }{2}$$ The...

asked Feb 24, 2017