Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2015 Set-2 Questions with Answer
Ques 27 GATE 2015 SET-2
The total emissive power of a surface is 500 W/m2 at a temperature T1 and 1200 W/m2 at a temperature T2, where the temperatures are in Kelvin. Assuming the emissivity of the surface to be constant, the ratio of the temperatures T1/T2 is
Ques 28 GATE 2015 SET-2
A balanced counterflow heat exchanger has a surface area of 20 m2 and overall heat transfer coefficient of 20 W/m2-K. Air (Cp = 1000 J/kg-K) entering at 0.4 kg/s and 280 K is to be preheated by the air leaving the system at 0.4 kg/s and 300 K. The outlet temperature (in K) of the preheated air is
Ques 29 GATE 2015 SET-2
A cylindrical uranium fuel rod of radius 5 mm in a nuclear reactor is generating heat at the rate of 4x107 W/m3. The rod is cooled by a liquid (convective heat transfer coefficient 1000 W/m2-K) at 25°C. At steady state, the surface temperature (in K) of the rod is
Ques 30 GATE 2015 SET-2
If a foam insulation is added to a 4 cm outer diameter pipe as shown in the figure, the critical radius of insulation (in cm) is ________.
Ques 31 GATE 2015 SET-2
In the laminar flow of air (Pr = 0.7) over a heated plate, if δ and δT denote, respectively, the hydrodynamic and thermal boundary layer thicknesses, then
Ques 32 GATE 2015 SET-2
Annual demand of a product is 50000 units and the ordering cost is Rs. 7000 per order. Considering the basic economic order quantity model, the economic order quantity is 10000 units. When the annual inventory cost is minimized, the annual inventory holding cost (in Rs.) is ________.
Ques 33 GATE 2015 SET-2
Sales data of a product is given in the following table:
| Month | January | February | March | April | May |
| Number of units sold | 10 | 11 | 16 | 19 | 25 |
Ques 34 GATE 2015 SET-2
A project consists of 7 activities. The network along with the time durations (in days) for various activities is shown in the figure. The minimum time (in days) for completion of the project is ________.
Ques 35 GATE 2015 SET-2
A manufacturer has the following data regarding a product:
Fixed cost per month = Rs. 50000
Variable cost per unit = Rs. 200
Selling price per unit = Rs. 300
Production capacity = 1500 units per month
If the production is carried out at 80% of the rated capacity, then the monthly profit (in Rs.) is ________.
Ques 36 GATE 2015 SET-2
A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is 1°. The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is ________.
Ques 37 GATE 2015 SET-2
A hollow shaft (do = 2di where do and di are the outer and inner diameters respectively) needs to transmit 20 kW power at 3000 RPM. If the maximum permissible shear stress is 30 MPa, do is
Ques 38 GATE 2015 SET-2
The primary mechanism of material removal in electrochemical machining (ECM) is
Ques 39 GATE 2015 SET-2
During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process planning is known as
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