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GATE Mining Engineering
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Oscillations And Waves
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GATE Mining Engineering
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For a shrinkage stope the following data values are givenInsitu tonnage 9000 tonneInsitu grade 5.2 g/tonneAverage grade of waste 1.4 g/tonneLoss of ore in the stope 10%Dilution 20%The grade at the mill-head in g/tonne is ________
4.2 to 4.215
1.3 to 1.367
6.3 to 6.344
4.5 to 4.518
Long-hole drilling with crater blasting is used for the construction of
Decline
shaft
winze
raise
In the following figure, the coefficient of kinetic friction between the trolley and the surface is 0.04 When the block is released from rest, the acceleration of the trolley in m/s2 becomes
0.74
1.23
1.09
9.65
If the following linear system of equations has non-trivial solutionspx + y + z = 02x + y - 2z = 0x + 2y - 3z = 0the value of p is
-1
1
-7
A wire of length L is cut into two pieces to construct a circle and an equilateral triangle such that the combined area isminimum.
The length of the wire used to construct the circle is
9L/(9 + √3π)
L/2
18L/(9 - √3π)
√3πL/(9 + √3π)
The pressure on a phreatic surface is
independent of atmospheric pressure
less than atmospheric pressure
equal to atmospheric pressure
greater than atmospheric pressure
A cylindrical rock specimen of diameter 54 mm has Young’s modulus of 68.97 GPa and Poisson’s ratio of 0.35. The rock specimen fails in uniaxial compression at a lateral strain of 0.01%. The axial load at failure in kN is __________
34.6 to 35.3
54.7 to 55.3
44.8 to 45.5
12.6 to 13.3
In the Coward flammability diagram, the respective percentages of methane and oxygen at the nose limit are
5.8, 12.1
14.2, 0.0
14.1, 18.2
5.0, 19.2
Given the following,Mining method TechniqueP Thick seam extraction 1 Double unit faceQ Bord and pillar extraction 2 Jet cuttingR Longwall face development 3 Inclined slicingS Hydraulic mining 4 Half moon methodthe correct match is
P-3, Q-4, R-2, S-1
P-1, Q-4, R-2, S-3
P-3, Q-4, R-1, S-2
P-3, Q-2, R-1, S-4
A 4.6 m wide vein dipping at 800 is mined by horizontal cut-and-fill stopingmethod.
The fill is to be placed in the stope along the length of 46 m and to a height of 3.0 m. If the specific weight of the fill material is 15.86 kN/m3 and the porosity is 35%, under fully saturated conditionsthe mass of solids in saturated fill in tonnes is
788.80
820.00
804.10
799.30
A two tonne mine car is released from the top of an incline at a height of 3 m as shown in thefigure.
The mine car travels 45 m along the inclined track and another 85 m along the horizontal track before coming torest.
The specific rolling resistance of the car in N/tonne is ____________
543 to 549
287 to 293
225 to 231
124 to 130
Two meshing spur gear wheels of Module 6 have 24 and 42teeth.
The distance in mm between the centres of the gear wheels is
126
72
198
1000
Transit theodolite is a
micro-optic theodolite
theodolite with stadia hairs
theodolite with two vertical circles
theodolite with face left and face right reading facilities
The following observations are taken during a closedtraverse.
The closing error of the traverse in mm is
205
20.5
2.05
0.205
A mine worker inhales normal air; whereas, the exhaled air contains 16.65% O2 and 3.83% CO2 The respiratory quotient of breathing for the worker is
0.89
0.23
1.13
0.99
Given the following,Rescue apparatus CharacteristicP.
Draeger BG-4 1. Open circuit chemical oxygen self-rescuerQ.
MSA IW-65 2. Filter type self-rescuerR.
Draeger Pulmotor 3. Self-contained breathingapparatusS.
Oxyboks 4. Resuscitation apparatusthe correct match is
P-4, Q-1, R-2, S-3
P-3, Q-2, R-1, S-4
P-1, Q-4, R-3, S-2
P-3, Q-2, R-4, S-1
Under standard temperature and pressure conditions the theoretical maximum height in m to which water can be lifted using an air-lift pump is
6.05
10.33
9.61
7.45
Pressure characteristic of a mine fan is given by, P = -0.06 Q2 + 400, where P is the pressure in Pa and Q the quantity in m3/s. The resistance of the mine is 0.19 Ns2/m8.An identical fan is installed in the mine to operate in series with the existingfan.
The new mine quantity in m3/s is
56.7
30.2
50.8
75.6
A bucket wheel excavator with 20 buckets of capacity 0.5 m3 each, rotates at 5 rev/min.
The bucket fill factor is 80%. The excavator loads on to 1200 mm wide beltconveyor.
The cross-section area (m2) of the material on the belt is 0.1B2, where B is the belt width in m. The minimum speed of the belt in m/s to avoid spillage of material is
5.79
7.23
3.70
4.63
A surface miner with 2.0 m cutting drum width excavates coal in windrowing mode from a bench with effective face length 200 m. The cutting speed of the surface miner is 10 m/min and the cutting depth 25 cm. The density of coal is 1.4 tonne/m3. If the average turning time of the machine at the face end is 5 min, the rate of production in tonne/hour becomes ____________
483 to 485
267 to 269
335 to 337
654 to 656
All engineering students should learn mechanics, mathematics and how to docomputation.
I II III IV Which of the above underlined parts of the sentence is not appropriate
III
I
IV
II
For a 25 mm diameter spherical charge, the maximum allowable charge length in cm is
150.0
15.0
25.0
30.0
A 4.6 m wide vein dipping at 800 is mined by horizontal cut-and-fill stopingmethod.
The fill is to be placed in the stope along the length of 46 m and to a height of 3.0 m. If the specific weight of the fill material is 15.86 kN/m3 and the porosity is 35%, under fully saturated conditionsthe volume of water in the fill in m3 is
222.18
634.80
336.44
332.40
Block economic values in Lakhs of Rupees for a section of a block economic model are shownbelow.
At a permissible slope angle of 1:1, the optimum pit value of the section in Lakhs of Rupees is
3
1
2
In an experiment to study coal dust explosibility, it is found that at least 3.0 g of limestone dust should be added to a sample of 2.0 g of coal dust to ensure that propagation of flame does not takeplace.
The explosibility factor of coal dust is
20.00
1.50
60.00
6.70
A 20 m steel tape used in a mine survey is found to be 20 cm short when compared with a standardtape.
If the measured volume of a dump using the tape is 4000 m3, its actual volume in m3 is
3881
3902
4121
3920
In a belt conveyor system, function of the snub pulley is to
decrease the belt tension
increase the angle of contact of belt with drive drum
clean the outer surface of the belt
clean the inner surface of the belt
Incubation period is NOT related to
seam thickness
panel size
explosibility of coal dust
crossing point temperature of coal
Economic analysis of an iron ore deposit reveals that the net value of the ore is related to the grade mined as shown in thetable.
Assuming that the grade follows normal distribution with mean 62.7%, and standard deviation 10.0%
(A portion of the standard normal distribution table is given below),the percentage of waste in the deposit based on the break-even cut-off grade is
28.8
78.8
71.2
21.2
A simplex tableau shown below is generated during the maximization of a linear programming problem using simplex method After one iteration, the value of the objective function becomes
48/7
22/7
11/3
2/3
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