Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2014 Set-3 Questions with Answer
Ques 14 GATE 2014 SET-3
A source at a temperature of 500 K provides 1000 kJ of heat. The temperature of environment is 27°C. The maximum useful work (in kJ) that can be obtained from the heat source is ________.
Ques 15 GATE 2014 SET-3
A sample of moist air at a total pressure of 85 kPa has a dry bulb temperature of 30°C (saturation vapour pressure of water = 4.24 kPa). If the air sample has a relative humidity of 65%, the absolute humidity (in gram) of water vapour per kg of dry air is ________.
Ques 16 GATE 2014 SET-3
The process utilizing mainly thermal energy for removing material is
Ques 17 GATE 2014 SET-3
The actual sales of a product in different months of a particular year are given below:

Ques 18 GATE 2014 SET-3
A straight turning operation is carried out using a single point cutting tool on an AISI 1020 steel rod. The feed is 0.2 mm/rev and the depth of cut is 0.5 mm. The tool has a side cutting edge angle of 60°. The uncut chip thickness (in mm) is ________.
Ques 19 GATE 2014 SET-3
A minimal spanning tree in network flow models involves
Ques 20 GATE 2014 SET-3
Match the casting defects (Group A) with the probable causes (Group B):
Group A
P: Hot tears
Q: Shrinkage
R: Blow holes
S: Cold Shut
Group B
1: Improper fusion of two streams of liquid metal
2: Low permeability of the sand mould
3: Volumetric contraction both in liquid and solid stage
4: Differential cooling rate
Ques 21 GATE 2014 SET-3
Cutting tool is much harder than the workpiece. Yet the tool wears out during the tool-work interaction, because
Ques 22 GATE 2014 SET-3
The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table.

| Point on the graph | Description of the point |
|---|---|
| P | 1. Upper Yield Point |
| Q | 2. Ultimate Tensile Strength |
| R | 3. Proportionality Limit |
| S | 4. Elastic Limit |
| T | 5. Lower Yield Point |
| U | 6. Failure |
Ques 23 GATE 2014 SET-3
The hot tearing in a metal casting is due to
Ques 24 GATE 2014 SET-3
An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x,y) + iv(x,y), where i = √-1 . If u(x,y) = x2 - y2, then expression for v(x,y) in terms of x, y and a general constant c would be
Ques 25 GATE 2014 SET-3
Consider two solutions x(t) = x1(t) and x(t) = x2(t) of the differential equation

Ques 26 GATE 2014 SET-3
A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3 and 1/6, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are
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