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GATE2020-ME-2: 16
A closed vessel contains pure water, in thermal equilibrium with its vapour at $25^\circ C$(Stage$\#1$ ... Valve $A$ Nothing will happen - the vessel will continue to remain in equilibrium All the vapor inside the vessel will immediately condense
asked
in
Fluid Mechanics
Sep 18, 2020
gateme-2020-set2
fluid-mechanics
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 17
For an air-standard Diesel cycle, heat addition is at constant volume and heat rejection is at constant pressure heat addition is at constant pressure and heat rejection is at constant pressure heat addition is at constant pressure and heat rejection is at constant volume heat addition is at constant volume and heat rejection is at constant volume
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
diesel-and-dual-cycles
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 18
The values of enthalpies at the stator inlet and rotor outlet of a hydraulic turbomachine stage are $h_1$ and $h_3$ respectively. The enthalpy at the stator outlet (or, rotor inlet) is $h_2$. The condition $(h_2-h_1)=(h_3-h_2)$ indicates that the degree of reaction of this stage is $\text{zero}$ $50 \%$ $75 \%$ $100 \%$
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 19
Let $\textbf{I}$ be a $100$ dimensional identity matrix and $\textbf{E}$ be the set of its distinct (no value appears more than once in $\textbf{E})$ real eigen values. The number of elements in $\textbf{E}$ is _________
asked
in
Linear Algebra
Sep 18, 2020
gateme-2020-set2
numerical-answers
linear-algebra
eigen-values
0
answers
0
votes
GATE2020-ME-2: 20
A beam of negligible mass is hinged at support $P$ and has a roller support $Q$ as shown in the figure. A point load of $1200 \: N$ is applied at point $R$. The magnitude of the reaction force at support $Q$ is _________ $N$.
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 21
A machine member is subjected to fluctuating stress $\sigma = \sigma_0 \cos (8 \pi t)$. The endurance limit of the material is $350$ MPa. If the factor of safety used in the design is $3.5$ then the maximum allowable value of $\sigma_0$ is _______ MPa. (round off to $2$ decimal places)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 22
A bolt head has to be made at the end of a rod of diameter $d=12$ mm by localized forging (upsetting) operation. The length of the unsupported portion of the rod is $40$ mm. To avoid buckling of the rod, a closed forging operation has to be performed with a maximum die diameter of _______ mm.
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 23
Consider the following network of activities, with each activity named $\textbf{A – L}$, illustrated in the nodes of the network. The number of hours required for each activity is shown alongside the nodes. The slack on the activity $\textbf{L}$, is _______ hours.
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 24
In a furnace, the inner and outer sides of the brick wall $(k_1=2.5 \: \text{W/m.k})$ are maintained at $1100 ^\circ C$ and $700 ^\circ C$, respectively as shown in figure. The brick wall is covered by an insulating material of thermal conductivity $k_2$. The ... composite walls is $2500 \: W/m^2$. The value of $k_2$ is _______ $\text{W/m.K}$ (round off to one decimal place)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 25
If a reversed Carnot cycle operates between the temperature limits of $27^\circ C$ and $-3^\circ C$, then the ratio of the COP of a refrigerator to that of a heat pump (COP of refrigerator / COP of heat pump) based on the cycle is __________ (round off to $2$ decimal places).
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 26
The directional derivative of $f(x,y,z) = xyz$ at point $(-1,1,3)$ in the direction of vector $\hat{i} – 2 \hat{j} +2 \hat{k}$ is $3\hat{i} – 3 \hat{j} - \hat{k} \\$ $- \dfrac{7}{3} \\$ $\dfrac{7}{3} \\ $ $7$
asked
in
Calculus
Sep 18, 2020
gateme-2020-set2
calculus
vector-identities
directional-derivatives
0
answers
0
votes
GATE2020-ME-2: 27
The function $f(z)$ of complex variable $z=x+iy$, where $i=\sqrt{-1}$, is given as $f(z)=(x^3-3xy^2)+i \: v(x,y)$. For this function to be analytic, $v(x,y)$ should be $(3xy^2-y^3) +$ constant $(3x^2y^2-y^3) +$ constant $(x^3-3x^2 y) +$ constant $(3x^2y-y^3) +$ constant
asked
in
Calculus
Sep 18, 2020
gateme-2020-set2
calculus
complex-variables
analytic-functions
0
answers
0
votes
GATE2020-ME-2: 28
A cantilever of length $l$, and flexural rigidity $EI$, stiffened by a spring of stiffness $k$, is loaded by a transverse force $P$, as shown. The transverse deflection under the load is $\dfrac{Pl^3}{3EI} \begin{bmatrix} \dfrac{3EI}{3EI+2kl^3} \end{bmatrix}$ ... $\dfrac{Pl^3}{3EI} \begin{bmatrix} \dfrac{3EI}{3EI+kl^3} \end{bmatrix}$
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 29
The sun (S) and the Planet (P) of an epicyclic gear train shown in the figure have identical number of teeth. If the sun (S) and the outer ring (R) gears are rotated in the same direction with angular speed $\omega_S$ and $\omega_R$ ... $\dfrac{3}{4} \omega _R - \dfrac{1}{4} \omega _S $
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 30
A thin-walled cylinder of radius $r$ and thickness $t$ is open at both ends, and fits snugly between two rigid walls under ambient conditions, as shown in the figure. The material of the cylinder has Young's modulus $E$, Poisson's ratio $v$, and coefficient of thermal expansion $\alpha$. What ... $\Delta T = \big( v + \dfrac{1}{2} \big) \dfrac{pr}{ \alpha t E} $
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 31
A helical spring has spring constant $k$. If the wire diameter, spring diameter and the number of coils are all doubled then the spring constant of the new spring becomes $k/2$ $k$ $8k$ $16k$
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 32
Two rollers of diameters $D_1$ (in mm) and $D_2$ (in mm) are used to measure the internal taper angle in the V-groove of a machined component. The heights $H_1$ (in mm) and $H_2$ (in mm) are measured by using a height gauge after inserting the rollers into the same V-groove as shown ... $\sin \alpha = \dfrac{(H_1-H_2) }{ (D_1 - D_2)} $
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 33
The forecast for the monthly demand of a product is given in the table below: ... by using the exponential smoothing method. The exponential smoothing coefficient used in forecasting the demand is $0.10$ $0.40$ $0.50$ $1.00$
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 34
One kg of air in a closed system undergoes an irreversible process from an initial state of $p_1=1$ bar (absolute) and $T_1=27^\circ C$, to a final state of $p_2=3$ bar (absolute) and $T_2=127 ^ \circ C$ ... (in $\text{J/kg.K}$) of the air in the process is $-26.3$ $28.4$ $172.0$ indeterminate, as the process is irreversible
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 35
For the integral $\displaystyle \int_0 ^{\pi/2} (8+4 \cos x) dx$, the absolute percentage error in numerical evaluation with the Trapezoidal rule, using only the end points, is ________ (round off to one decimal place).
asked
in
Numerical Methods
Sep 18, 2020
gateme-2020-set2
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
numerical-answers
1
answer
0
votes
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)
asked
in
Probability and Statistics
Sep 18, 2020
gateme-2020-set2
numerical-answers
probability-and-statistics
probability
0
answers
0
votes
GATE2020-ME-2: 37
A hollow spherical ball of radius $20$ cm floats in still water, with half of its volume submerged. Taking the density of water as $1000 \: kg/m^3$, and the acceleration due to gravity as $10 \: m/s^2$, the natural frequency of small oscillations of the ball, normal to the water surface is __________ radians/s (round off to $2$ decimal places)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 38
Uniaxial compression test data for a solid metal bar of length $1$ m is shown in the figure. The bar material has a linear elastic response from $O$ to $P$ followed by a nonlinear response. The point $P$ represents the yield point of the material. ... bar so that it does not buckle under axial loading before reaching the yield point is _______ mm ( round off to one decimal place)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 39
The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure. The mean turning moment is $2000$ Nm. The average engine speed is $1000$ rpm. For fluctuation in the speed to be within $\pm 2\%$ of the average speed, the mass moment of inertia of the flywheel is ________ $kg \cdot m^2$
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 40
A rigid block of mass $m_1=10$ kg having velocity $v_0=2 \: m/s$ strikes a stationary block of mass $m_2=30$ kg after traveling $1$ m along a frictionless horizontal surface shown in the figure. The two masses stick together and jointly move by a distance of ... spring constant $k=10^5 \: N/m$. The maximum deflection of the spring is _________ cm (round off to $2$ decimal places)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 41
A steel spur pinion has a module $(m)$ of $1.25$ mm, $20$ teeth and $20^\circ$ pressure angle. The pinion rotates at $1200$ rpm and transmits power to a $60$ teeth gear. The face width $(F)$ is $50$ mm, Lewis form factor $Y=0.322$ and a ... round off to one decimal place). Lewis formula: $\sigma = \dfrac{K_vW^t}{FmY}$, where $W^t$ is the tangential load acting on the pinion.
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 42
A mould cavity of $1200 \: cm^3$ volume has to be filled through a sprue of $10$ cm length feeding a horizontal runner. Cross-sectional area at the base of the sprue is $2 \: cm^2$ ... frictional losses due to molten metal flow, the time taken to fill the mould cavity is ________ seconds (round off to $2$ decimal places)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 43
A cylindrical bar with $200$ mm diameter is being turned with a tool having geometry $0 ^\circ - 9 ^\circ -7^ \circ - 8^ \circ - 15^ \circ - 30^ \circ - 0.05$ inch (coordinate system, ASA) resulting in a cutting force $F_{c1}$. If the tool geometry is ... .e. $\displaystyle \bigg( \frac{F_{c2} - F_{c1}}{F_{c1}} \bigg) \times 100$, is ________ (round off to one decimal place)
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 44
There are two identical shaping machines $S_1$ and $S_2$. In machine $S_2$, the width of the workpiece is increased by $10\%$ and the feed is decreased by $10\%$, with respect to that of $S_1$. If all other conditions remain the same then the ratio of total time per pass in $S_1$ and $S_2$ will be _____ (round off to one decimal place).
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 45
Bars of $250$ mm length and $25$ mm diameter are to be turned on a lathe with a feed of $0.2$ mm/rev. Each regrinding of the tool costs Rs. $20$. The time required for each tool change is $1$ ... tool life $T$ is in min). The optimum tool cost per piece for maximum production rate is Rs. _______ (round off to $2$ decimal places).
asked
in
Materials, Manufacturing and Industrial Engineering
Sep 18, 2020
gateme-2020-set2
numerical-answers
tool-life-and-wear
machining-and-machine-tool-operations
materials-manufacturing-and-industrial-engineering
0
answers
0
votes
GATE2020-ME-2: 46
A point $ P'$ on a CNC controlled $XY$-stage is moved to another point $ Q'$ using the coordinate system shown in the figure below and rapid positioning command $(G00)$ A pair of stepping motors with maximum speed of $800$ rpm, controlling both the $X$ ... The time needed to position the point $ P'$ to the point $ Q'$ is _________ minutes (round off to $2$ decimal places).
asked
in
Others
Sep 18, 2020
gateme-2020-set2
numerical-answers
0
answers
0
votes
GATE2020-ME-2: 47
For a single item inventory system, the demand is continuous, which is $10000$ per year. The replenishment is instantaneous and backorders ($S$ units) per cycle are allowed as shown in the figure. As soon as the quantity ($Q$ units) ordered ... . Based on the total cost minimization criteria, the maximum inventory reached in the system is ________ (round off to nearest integer).
asked
in
Inventory Control
Sep 18, 2020
gateme-2020-set2
numerical-answers
inventory-control
materials-manufacturing-and-industrial-engineering
0
answers
0
votes
GATE2020-ME-2: 48
Consider a flow through a nozzle, as shown in the figure below. The air flow is steady, incompressible and inviscid. The density of air is $1.23 \: kg/m^3$. The pressure difference, $(p_1-p_{\text{atm}})$ is _________ kPa (round off to $2$ decimal places)
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
numerical-answers
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 49
Water (density $1000 \: kg/m^3$) flows through an inclined pipe of uniform diameter. The velocity, pressure and elevation at section $\textbf{A}$ are $V_A=3.2 \: m/s, \: p_A=186 \text{kPa}$ and $z_A=24.5 \: m$ ... acceleration due to gravity is $10 \: m/s^2$ then the head lost due to friction is ________ $m$ (round off to one decimal place)
asked
in
Fluid Mechanics
Sep 18, 2020
gateme-2020-set2
numerical-answers
fluid-mechanics
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 50
The spectral distribution of radiation from a black body at $T_1=3000 \: K$ has a maximum at wavelength $\lambda_{\text{max}}$. The body cools down to a temperature $T_2$ ... the original wavelength $\lambda_{\text{max}}$, then the temperature $T_2$ is _________ $K$ (round off to nearest integer)
asked
in
Heat Transfer
Sep 18, 2020
gateme-2020-set2
numerical-answers
black-and-grey-surfaces
heat-transfer
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 51
Water flows through a tube of $3$ cm internal diameter and length $20$ m. The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are ... The inner surface temperature at the exit section of the tube is ___________ $^\circ C$ (round off to one decimal place
asked
in
Fluid Mechanics
Sep 18, 2020
gateme-2020-set2
numerical-answers
fluid-mechanics
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 52
Air is contained in a frictionless piston-cylinder arrangement as shown in the figure. The atmosphere pressure is $100$ kPa and the initial pressure of air in the cylinder is $105$ kPa. The area of piston is $300 \: cm^2$. Heat is now added and ... N/mm. Considering the air inside the cylinder as the system, the work interaction is _________ J (round off to the nearest integer)
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
numerical-answers
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 53
Moist air at $105$ kPa, $30^\circ C$ and $80\%$ relative humidity flows over a cooling coil in an insulated air-conditioning duct. Saturated air exits the duct at $100$ kPa and $15^\circ C$. The saturation pressures of water at $30^\circ C$ ... $28.94$ g/mol. The mass of water condensing out from the duct is ______ g/kg of dry air (round off to the nearest integer).
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
numerical-answers
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 54
In a steam power plant, superheated steam at $10$ MPa and $500^\circ C$, is expanded isentropically in a turbine until it becomes a saturated vapour. It is then reheated at constant pressure to $500 ^\circ C$. The steam is next expanded isentropically in another turbine until ...
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
numerical-answers
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 55
Keeping all other parameters identical, the Compression Ratio (CR) of an air standard diesel cycle is increased from $15$ to $21$. Take ratio of specific heats $=1.3$ and cut-off ratio of the cycle $r_c=2$. The difference between the new and the old efficiency values, in ... $\%$ (round off to one decimal place).
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
numerical-answers
applications
diesel-and-dual-cycles
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