Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2014 Set-4 Questions with Answer
Ques 53 GATE 2014 Set-4
Consider a velocity field V⃗ = K(yî + xk̂), where K is a constant. The vorticity, Ωz, is
Ques 54 GATE 2014 Set-4
Water flows through a tube of diameter 25 mm at an average velocity of 1.0 m/s. The properties of water are ρ=1000 kg/m3, μ=7.25×10-4 N.s/m2, k=0.625 W/m.K, Pr=4.85. Using Nu=0.023 Re0.8Pr0.4, the convective heat transfer coefficient (in W/m2.K) is ________.
Ques 55 GATE 2014 Set-4
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 ________.
Ques 56 GATE 2014 Set-4
Steam with specific enthalpy (h) 3214 kJ/kg enters an adiabatic turbine operating at steady state with a flow rate of 10 kg/s. As it expands, at a point where h is 2920 kJ/kg, 1.5 kg/s is extracted for heating purposes. The remaining 8.5 kg/s further expands to the turbine exit, where h = 2374 kJ/kg. Neglecting changes in kinetic and potential energies, the net power output (in kW) of the turbine is ________.
Ques 57 GATE 2014 Set-4
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. The ratio of the net heat exchange between the plates with and without the shield is
Ques 58 GATE 2014 Set-4
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 ________.
Ques 59 GATE 2014 Set-4
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, respectively, are
| Activity | Predecessors | Duration (days) |
| a | - | 2 |
| b | - | 4 |
| c | a | 2 |
| d | b | 3 |
| e | c | 2 |
| f | c | 4 |
| g | d, e | 5 |
Ques 60 GATE 2014 Set-4
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 ________.
Ques 61 GATE 2014 Set-4
A GO-No GO plug gauge is to be designed for measuring a hole of nominal diameter 25 mm with a hole tolerance of ±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 the unilateral tolerance system is
Ques 62 GATE 2014 Set-4
A cylindrical riser of 6 cm diameter and 6 cm height has to be designed for a sand casting mould for producing a steel rectangular plate casting of 7 cm × 10 cm × 2 cm dimensions having the total solidification time of 1.36 minute. The total solidification time (in minute) of the riser is ________.
Ques 63 GATE 2014 Set-4
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 welding parameters caused an undercut of 3 mm depth along the weld. The maximum transverse tensile load (in kN) carrying capacity of the developed weld joint is ________.
Ques 64 GATE 2014 Set-4
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°. Number of cutting strokes per minute is 60. Using specific energy for cutting as 1.49 J/mm3, the average power consumption (in W) is ________.
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