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GATE Mining Engineering
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GATE Mining Engineering
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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
6.70
1.50
60.00
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-3, Q-4, R-2, S-1
P-3, Q-2, R-1, S-4
P-1, Q-4, R-3, S-2
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
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
Rill stoping method is a form of
underhand stoping
block caving
artificially supported stoping
overhand stoping
Identify the correct statement for a ‘normal distribution’
Mean is greater than mode and median
Mean is greater than mode but less than median
Mean, median and mode are equal
Mean is less than mode but greater than median
The boundary of a mine is plotted on a scale of 1:2000.
If a planimeter measures the plotted area as 58 cm2, the actual mine area in m2 is
11600
5800
29000
23200
The number of ways in which the letters in the word MINING can be arranged is
360
90
180
720
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
L/2
√3πL/(9 + √3π)
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 ____________
267 to 269
335 to 337
654 to 656
483 to 485
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
123 to 126
534 to 537
Under standard temperature and pressure conditions the theoretical maximum height in m to which water can be lifted using an air-lift pump is
10.33
6.05
7.45
9.61
For a 25 mm diameter spherical charge, the maximum allowable charge length in cm is
150.0
15.0
30.0
25.0
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
78.8
21.2
28.8
71.2
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 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
If the transpose of a matrix is equal to its inverse, then the matrix is
skew symmetric
orthogonal
symmetric
singular
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
75.6
50.8
30.2
In the Moh’s scale of hardness, the minerals in increasing sequence of hardness are
topaz, gypsum, calcite, diamond
calcite, gypsum, diamond, topaz
calcite, gypsum, topaz, diamond
gypsum, calcite, topaz, diamond
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
2/3
48/7
22/7
11/3
If the following linear system of equations has non-trivial solutionspx + y + z = 02x + y - 2z = 0x + 2y - 3z = 0the value of p is
-7
1
-1
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 _________
5.9 to 6
1.9 to 2
0.9 to 1
2.9 to 3
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)
132.3
157.9
137.9
117.9
Incubation period is NOT related to
explosibility of coal dust
seam thickness
panel size
crossing point temperature of coal
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
4.63
5.79
3.70
7.23
The following observations are taken during a closedtraverse.
The closing error of the traverse in mm is
0.205
20.5
205
2.05
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-2,Q-3,R-4,S-1
P-4,Q-2,R-3,S-1
P-3,Q-4,R-2,S-1
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
A sub-critical subsidence profile is shown in the figurebelow.
The points A, B, C, and D represent respectively the points of
zero vertical displacement, maximum tension, inflexion, maximum compression
inflexion, maximum tension, maximum compression, zero vertical displacement
maximum compression, maximum tension, inflexion, zero vertical displacement
maximum tension, inflexion, maximum compression, zero vertical displacement
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
9.65
1.09
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