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GATE Mining Engineering
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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
336.44
332.40
634.80
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
21.2
71.2
78.8
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 linear relationship between the net value and grade, the break-even cut-off grade in % Fe is
52.2
58.0
54.7
62.2
A sub-critical subsidence profile is shown in the figurebelow.
The points A, B, C, and D represent respectively the points of
maximum tension, inflexion, maximum compression, zero vertical displacement
maximum compression, maximum tension, inflexion, zero vertical displacement
zero vertical displacement, maximum tension, inflexion, maximum compression
inflexion, maximum tension, maximum compression, zero vertical displacement
Given the following,Excavating/loading machine Transportation schemeP Bucket Wheel Excavator 1 Mine tubQ Continuous Miner 2 Armoured flexible chain conveyorR Shearer 3 Shiftable ConveyorS Load Haul Dumper 4 Shuttle carthe correct match is
P-3, Q-2, R-1, S-4
P-3, Q-4, R-2, S-1
P-1, Q-4, R-3, S-2
P-3, Q-2, R-4, S-1
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-3, Q-2, R-1, S-4
P-3, Q-2, R-4, S-1
P-1, Q-4, R-3, S-2
P-4, Q-1, R-2, S-3
A core sample of a rock, having diameter 54 mm and length 108 mm, is subjected to axial loading If the axial strain and Poisson’s ratio are 2000 * 10-6 and 0.28 respectively, the value of volumetric strain , represented in micro-strain is ___________
0.000875 to 0.000885
0.000855 to 0.000865
0.000865 to 0.000875
0.000835 to 0.000845
In an experiment to determine specific gravity of a soil sample, the following data is obtained:Mass of empty pycnometer 20.4 gMass of pycnometer with soil sample 51.6 gMass of pycnometer with soil sample filled with water 88.6 gMass of pycnometer filled with water 70.4 gThe specific gravity of the sample is __________
2.35 to 2.45
1.25 to 1.35
1.45 to 1.55
3.56 to 3.66
Identify the correct statement for a ‘normal distribution’
Mean, median and mode are equal
Mean is greater than mode but less than median
Mean is greater than mode and median
Mean is less than mode but greater than median
The pressure on a phreatic surface is
independent of atmospheric pressure
greater than atmospheric pressure
less than atmospheric pressure
equal to atmospheric pressure
Rill stoping method is a form of
underhand stoping
overhand stoping
artificially supported stoping
block caving
An open belt drive connects two pulleys on parallel shafts that are 3.6 m apart as shown in thefigure.
The diameters of the pulleys are 2.4 m and 1.6 m. The angle of contact on the smaller pulley in degrees is __________
166 to 169
276 to 279
534 to 537
123 to 126
The value of is
π/2 log2
-π/2 log2
-π/4 log2
π/4 log2
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 ________
1.3 to 1.367
4.5 to 4.518
4.2 to 4.215
6.3 to 6.344
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
9.65
1.09
1.23
A flat bauxite deposit has thickness of 10 m with an average density of 2200 kg/m3. The grade values and the sample coordinates are as shown in thetable.
To carry out reserve estimation using triangular method, the triangles are constructed as shown in thefigure.
The alumina content in million tonnes, in the region comprising the three triangles is _________
2.9 to 3
1.9 to 2
0.9 to 1
5.9 to 6
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 ____________
124 to 130
287 to 293
543 to 549
225 to 231
Given the following differential equation d2y/dx2 + 7 dy/dx + 12y = 0 the general solution is
y = Ae4x + Be-3x
y = Ae3x + Be-4x
y = Ae-4x + Be-3x
y = Ae4x + Be3x
Transit theodolite is a
theodolite with face left and face right reading facilities
theodolite with two vertical circles
micro-optic theodolite
theodolite with stadia hairs
An emulsion explosive of specific gravity 1.25 is used for blasting in an iron ore formation having P-wave velocity of 3000 m/s and specific gravity of 3.20. For an explosive impedance to rock impedance ratio of 0.5, the desired velocity of detonation of the explosive in m/s is
4200
3840
4000
7680
1
2
3
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