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GATE2019 ME1: 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 ___________
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GATE2019 ME1: 45
Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, $2 \: m$ apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant ... fluid, $\mu_1$, then the velocity at the interface (round off to two decimal places) is _______ $m/s$.
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GATE2019 ME1: 46
A cube of side $100 \: mm$ is placed at the bottom of an empty container on one of its faces. The density of the material of the cube is $800 \: kg/m^3$. Liquid of density $1000 \: kg/m^3$ is now poured into the container. The minimum height to which the loquid needs to be poured into the container for the cube to just lift up is ____$mm$.
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GATE2019 ME1: 47
Three slabs are joined together as shown in the figure. There is no thermal contact resistance at the interfaces. The center slab experiences a nonuniform internal heat generation with an average value equal to $10000 \: Wm^{3}$, while the left and right slabs have no ... $T_1$ is measured to be $100^{\circ} C$, the right extreme face temperature $T_2$ is ______$^{\circ} C$.
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GATE2019 ME1: 48
If one mole of $H_2$ has occupies a rigid container with a capacity of $1000$ litres and the temperature is raised from $27^{\circ} C$ to $37^{\circ} C$, the change in pressure of the contained gas (round off to two decimal places), assuming ideal gas behaviour, is _______ Pa. $(R=8.314 \: J/mol \cdot K)$
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GATE2019 ME1: 49
A steam power cycle with regeneration as shown below on the $T$s diagram employs a single open feedwater heater for efficiency improvement. The fluid mix with each other in an open feedwater heater. The turbine is isentropic and the input (bleed) to the feedwater ... the turbine as a percentage of the total mass flow rate at the int=let to the turbine at state $1$ is _______
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GATE2019 ME1: 50
A gas turbine with air as the working fluid has an isentropic efficiency of $0.70$ when operating at a pressure ratio of $3$. Now, the pressure ratio of the turbine is increased to $5$, while maintaining the same inlet conditions. Assume air as a ... both the cases, the isentropic efficiency of the turbine at the pressure ratio of $5$ is _______ (round off to two decimal places)
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GATE2019 ME1: 51
The value of the following definite integral is ______ (round off to three decimal places) $\int_1^e (x \: \ln \: x) dx$
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GATE2019 ME1: 52
In ASA system, the side cutting and end cutting edge angles of a sharp turning tool are $45^{\circ}$ and $10^{\circ}$, respectively. The feed during cylindrical turning is $0.1 \: mm/rev$. The center line average surface roughness (in $\mu m$, round off to one decimal place) of the generated surface is ______
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GATE2019 ME1: 53
Taylorâ€™s tool life equation is given by $VT^n=C$, where $V$ is in $m/min$ and $T$ is in $min$. In a turning operation, two tools X and Y are used. For tool X, $n=0.3$ and $C=60$ and for tool Y, $n=0.6$ and $C=90$. Both the tools will have the same tool life for the cutting speed (in $m/min$, round off to one decimal place) of ________
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GATE2019 ME1: 54
Five jobs (J1, J2, J3, J4 and J5) need to be processes in a factory. Each job can be assigned to any of the five different machines (M1, M2, M3, M4 and M5). The time durations taken (in minutes) by the machines for each of the jobs, are given in the table. However, ...
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GATE2019 ME1: 55
A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below: ... amount of time, the maximum duration (in weeks) of the activity $S$ without delaying the completion of the project is ________
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GATE201265
Which of the following assertions are $\textbf{CORRECT}$? Adding $7$ to each entry in a list adds $7$ to the mean of the list. Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list. Doubling each entry in a list doubles the mean of the list. Doubling each entry in a list leaves the standard deviation of the list unchanged. $P,Q$ $Q,R$ $P,R$ $R,S$
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GATE201258
Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several ________ the mission succeeded in its attempt to resolve the conflict. attempts setbacks meetings delegations
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GATE201259
Which one of the following options is the closest in meaning to the word given below? Mitigate Diminish Divulge Dedicate Denote
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GATE201260
Choose the grammatically INCORRECT sentence: They gave us the money back less the service charges of Three Hundred rupees. This country's expenditure is not less than that of Bangladesh. The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum. This country's expenditure on educational reforms is very less.
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GATE201261
Given the sequence of terms, AD CG FK JP, the next terms is OV OW PV PW
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GATE201262
Wanted Temporary, Parttime persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: Highschool pass, must be available for the Day, Evening and Saturday work. ... best inference from the above advertisement? Genderdiscriminatory Xenophobic Not designed to make the post attractive Not genderdiscriminatory
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GATE201263
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is $8$ meters $10$ meters $12$ meters $14$ meters
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GATE201251
A refrigerator operates between 120 kPa and 800 kPa in an ideal vapor compression cycle with R134a as the refrigerant. The refrigerant renters the compressor as saturated vapor and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.2kg/s. Properties for R ... kJ/kg.K) 800 40 276.45 0.95 The power required for the compressor in kW is 5.94 1.83 7.9 39.5
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GATE201252
Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm$^2$. The specific heat of air $C_p$ is 1008 J/kg.K. The exit temperature of the air is 516 K 532 K 484 K 468 K
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GATE201253
Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm$^2$. The specific heat of air $C_p$ is 1008 J/kg.K. The exit area of the nozzle in $cm^4$ is 90.1 56.3 4.4 12.9
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GATE201254
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below. Activity Predecessors Duration(days) a  3 b a 4 c a 5 d a 4 e b 2 f d 9 g c,e 6 h f,g 2 The critical path for the project is abegh acgh adfh abcfh
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GATE201255
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below. Activity Predecessors Duration (days) a  3 b a 4 c a 5 d a 4 e b 2 f d 9 ... the total duration to complete the project remain the same critical path changes but the total duration to complete the project changes to 17 days
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GATE201256
Choose the most appropriate alternative from the options given below to complete the following sentence: Suresh's dog is the one ______ was hurt in stampede that which who whom
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GATE201257
The cost function for a product in a firm is given by $5q^2$ where $q$ is the amount of production. The film can sell the product at a market price of INR 50 per unit. The number of units to be produced by the firm such that the profit is maximized is 5 10 15 25
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GATE201244
A force of 400 N is applied to the brake drum of 0.5 m diameter in a bandbrake system as shown in the figure, where the wrapping angle is 180$^o$. If the coefficient of friction between the drum and the band is 0.25, the braking torque applied, in N.m is 100.6 54.4 22.1 15.7
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GATE201245
A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is 1/20 1/12 3/10 1/2
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GATE201246
Consider the differential equation $x^2 \frac{d^2y}{dx^2}+x\frac{dy}{dx}4y=0$ with the boundary conditions of $y(0)=0$ and $y(1)=1$. The complete solution of the differential equation is $x^2$ $\sin (\frac{\pi x}{2})$ $e^x \sin(\frac{\pi x}{2})$ $e^{x} \sin(\frac{\pi x}{2})$
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GATE201247
x+2y=4 2x+y+2z=5 xy+z=1 The system of algebraic equations given above has a unique solution of x=1, y=1 and z=1 only the two solutions of (x=1, y=1, z=1) and (x=2, y=1, z=0) infinite number of solutions no feasible solution
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GATE201248
Two steel truss members, AC and BC, each having cross sectional area of 100 $mm^2$, are subjected to a horizontal force F as shown in the figure. All the joints are hinged. If F=1 kN. the magnitude of the vertical reaction force developed at the point B in kN is 0.63 0.32 1.26 1.46
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GATE201249
Two steel truss members, AC and BC, each having cross sectional area of 100 $mm^2$, are subjected to a horizontal force F as shown in the figure. All the joints are hinged. The maximum force F in kN that can be applied at $C$ such that the axial stress in any of the truss members DOES NOT exceed 100 MPa is 8.17 11.15 14.14 22.30
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GATE201250
A refrigerator operates between 120 kPa and 800 kPa in an ideal vapor compression cycle with R134a as the refrigerant. The refrigerant renters the compressor as saturated vapor and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.2kg/s. Properties ... .95 The rate at which heat is extracted, in Kj/s from the refrigerated space is 28.3 42.9 34.4 14.6
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GATE201236
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as $\begin{pmatrix} \frac{1}{2} \\ \frac{\sqrt{3}}{2} \end{pmatrix}$ $\begin{pmatrix} \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix}$ ... $\begin{pmatrix} \frac{1}{\sqrt{5}} \\ \frac{2}{\sqrt{5}} \end{pmatrix}$
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GATE201237
Calculate the punch size in mm, for a circular blanking operation for which details are given below. Size of te blank 25 mm Thickness of the sheet 2 mm Radical clearance between punch and die 0.06 mm Die allowance 0.05 mm 24.83 24.89 25.01 25.17
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GATE201238
In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and thickness 8 mm undergoes 10% reduction of thickness. The angle of bite in radians is
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GATE201239
In a DC arc welding operation, the voltagearc length characteristic was obtained as $V_{arc} = 20+5l$ where the arc length $l$ was varied between 5 mm and 7 mm. Here $V_{arc}$ denotes the arc voltage in $volts$. The arc current was varied from 400 A and 500 A. ... voltage and the short circuit current for the welding operation are 45 V, 450 A 75 V, 750 A 95 V, 950 A 150 V, 1500 A
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GATE201240
A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ ...
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GATE201241
Water $(C_p=4.18 \: kJ/kg.K)$ at 80$^oC$ enters a counterflow heat exchanger with a mass flow rate of $0.5 \: kg/s$. Air ($C_p=1 \: kJ/kg.K$) enters at $30^oC$ with a mass flow rate of $2.09 \: kg/s$. If the effectiveness of heat exchanger is $0.8$, the LMTD (in $^oC$) is 40 20 10 5
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GATE201242
A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $\Delta T$. If the thermal coefficient of the material is $\alpha$, Young's modulus is $E$ and the Poisson's ratio is $\upsilon$ ... $\frac{\alpha (\Delta T) E}{3 (12 \upsilon)}$
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