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GATE Mining Engineering
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GATE Mining Engineering
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Transit theodolite is a
theodolite with stadia hairs
micro-optic theodolite
theodolite with two vertical circles
theodolite with face left and face right reading facilities
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
0.23
1.13
0.89
0.99
Long-hole drilling with crater blasting is used for the construction of
raise
Decline
winze
shaft
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
9.65
1.09
0.74
1.23
The number of ways in which the letters in the word MINING can be arranged is
360
180
720
90
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
2
3
1
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-4, S-1
P-1, Q-4, R-3, S-2
P-3, Q-4, R-2, S-1
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 volume of water in the fill in m3 is
222.18
634.80
332.40
336.44
In the Coward flammability diagram, the respective percentages of methane and oxygen at the nose limit are
14.2, 0.0
5.8, 12.1
5.0, 19.2
14.1, 18.2
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
3902
3920
4121
3881
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
7.23
5.79
4.63
3.70
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.The mine quantity in m3/s is
160.0
45.9
40.0
53.5
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
4000
4200
3840
7680
The uniaxial compressive strength of a limestone sample is 80MPa.
The sample is confined at a pressure of 20 MPa in a triaxial compressive strengthtest.
Based on Hoek-Brown failure criteria the maximum principal stress at failure in MPa is
(consider rock constants as m = 7.88, s = 1.0 and a = 0.5)
157.9
137.9
117.9
132.3
Among the following options, the specific energy for rock-drilling is lowest in
jet piercing
percussive drilling
rotary roller drilling
rotary diamond drilling
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
54.7
58.0
62.2
Incubation period is NOT related to
seam thickness
panel size
crossing point temperature of coal
explosibility of coal dust
Given the following,Machine ComponentP.
Dint header 1.CowlQ.
Coal plough 2. CuttingchainR.
Road header 3. LoadingapronS.
Shearer 4. Static set of bitsthe correct match is
P-2,Q-4,R-3,S-1
P-3,Q-4,R-2,S-1
P-2,Q-3,R-4,S-1
P-4,Q-2,R-3,S-1
Given the following differential equation d2y/dx2 + 7 dy/dx + 12y = 0 the general solution is
y = Ae3x + Be-4x
y = Ae4x + Be3x
y = Ae4x + Be-3x
y = Ae-4x + Be-3x
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 ________
4.5 to 4.518
1.3 to 1.367
6.3 to 6.344
4.2 to 4.215
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
50.8
75.6
30.2
56.7
Given the following,Equation/formula/law ApplicationP.
Bernoulli equation 1. Pressure loss in laminar flow offluidQ.
Poiseuille equation 2. Drag loss due to regular obstructions in fluidflowR.
Bromilow’s formula 3. Energy conservation in ideal fluidflowS.
Stokes law 4. Terminal settling velocity of fine particles in fluidthe correct match is
P-3, Q-1, R-4, S-2
P-3, Q-1, R-2, S-4
P-1, Q-3, R-2, S-4
P-2, Q-3, R-4, S-1
If the transpose of a matrix is equal to its inverse, then the matrix is
singular
symmetric
skew symmetric
orthogonal
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
799.30
788.80
804.10
820.00
Four psychrometric processes P, Q, R and S are shown in the psychrometric chartbelow.
These processes respectively represent
humidification, sensible heating, dehumidification, sensible cooling
sensible heating, humidification, dehumidification, sensible cooling
dehumidification, sensible heating, sensible cooling, humidification
dehumidification, humidification, sensible heating, sensible cooling
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-1, Q-4, R-3, S-2
P-3, Q-2, R-4, S-1
P-3, Q-2, R-1, S-4
P-4, Q-1, R-2, S-3
For a 25 mm diameter spherical charge, the maximum allowable charge length in cm is
15.0
30.0
25.0
150.0
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
√3πL/(9 + √3π)
L/2
18L/(9 - √3π)
9L/(9 + √3π)
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 ____________
335 to 337
267 to 269
483 to 485
654 to 656
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
6.70
20.00
1.50
60.00
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