GATE 2015
MINING - MN
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Q. 1 – Q. 25 carry one mark each.
Q.1 Out of the support categories given for an underground coal mine, identify the 'active support'.
(A) wire mesh (B) shotcrete (C) fully grouted roof bolt (D) hydraulic prop
Q.2 Massive sandstone in immediate roof delays the local fall in goaf of a coal mine. Under this condition, crushing of the pillars at outbye side is called
(A) coal bump (B) overriding of pillars (C) stiffening of pillars (D) spalling of pillars
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Q.3 A back sight on a bench mark of RL 100.00 m on the floor of a tunnel is 3.25 m. The inverse staff reading on a roof station of the tunnel is 1.25 m. The RL of the roof station in m is ________.
Q.4 The angle in degrees at which a ridge line intersects contours is
(A) 0 (B) 30 (C) 45 (D) 90
Q.5 In a drum hoisting system through a vertical shaft, overwinding is prevented by
(A) Lilly controller (B) detaching hook (C) caliper brake (D) safety catch
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Q.6 The temperature of a parcel of air decreases from 30.2°C to 28.9°C as it rises from an altitude of 20 m to 120 m. The lapse rate for the atmosphere is
(A) subadiabatic (B) adiabatic (C) superadiabatic (D) transadiabatic
Q.7 The excess pore pressure in backfill material in a cut-and-fill stope leads to
(A) reduction in strength of the wall (B) enhancement of bearing strength of fill (C) loss of shear resistance of fill (D) prevention of progressive failure of crown pillar
Q.8 The primary purpose of cut holes for blasting in an underground drivage is to
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(A) provide additional free face (B) have smooth surface after blasting (C) prevent over-breakage (D) reduce noise
Q.9 In a triangle ABC, the bearings of the sides AB, BC, and CA are 60°, 130°, and 270° respectively. The interior angles A, B, and C in degrees respectively are
(A) 110, 40, 30 (B) 40, 110, 30 (C) 30, 40, 110 (D) 30,110, 40
Q.10 In a binomial distribution, the probability of success p? 0 and number of trials n ? 8 such that ? = np approaches to a finite value. The variance of the distribution is
(?) ? (?) ? (C) ? (D) ?
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GATE 2015
MINING - MN
Q.11 For a function f (x), it is given that f(0) = 2 and f'(0) = 4 . Ignoring all other higher order derivative terms, the value of f(0.5) is ________.
Q.12 The two sides of a parallelogram are given by the vectors A = 2i - 3j and B = 3i + 2j. The area of the parallelogram is
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(A) 13 (B) 12 (C) 10 (D) 5
Q.13 In a BOD test, 5 ml of wastewater is diluted with pure water to fill a 300 ml BOD bottle. The initial and final dissolved oxygen contents of the mix are 9.0 mg/l and 7.0 mg/l respectively. The BOD of the wastewater, in mg/l, is
(A) 2 (B) 10 (C) 120 (D) 600
Q.14 A force of 50 N is applied to a wrench as shown in the figure. The magnitude of the moment in N-mm of this force about the point P is ________.
Q.15 Dilatancy of rock is associated with
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(A) increase in surface area after fragmentation (B) decrease in volume due to compression of rock (C) increase in shear strain due to cracking of rock (D) increase in volume due to cracking of rock
Q.16 A bord and pillar panel having square pillars is designed for 30% extraction during development. If the gallery width is 5 m, the side of the pillar in m is ________.
Q.17 Low shock and high gas pressure explosive is generally used for blasting of
(A) hard and brittle rock mass (B) soft and jointed rock mass (C) hard and massive intact rock mass (D) soft and massive intact rock mass
Q.18 The covariance of copper grade for a certain lag distance in an ore body is 6.0 (%)². If the sill is 10 (%)², the semivariogram for the same lag distance in (%)² is
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(A) 4.0 (B) 16.0 (C) 2.0 (D) 64.0
GATE 2015
MINING - MN
Q.19
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The matrix A= is(A) orthogonal (B) diagonal (C) skew-symmetric (D) symmetric
Q.20 A gas mixture contains CH4, C2H6 and H2 with respective concentrations of 75%, 15% and 10% by volume. The lower explosibility limit of CH4, C2H6 and H2 are 5.0%, 3.3% and 4.2% respectively. The lower explosibility limit of the gas mixture, in percentage, is ________.
Q.21 Intake air containing 0.2% methane enters a section of an underground mine where emission rate of methane is 0.05 m³/s. Assuming that the threshold limit value of methane is 1.25%, the minimum quantity of fresh air required in m³/s is ________.
Q.22 In a fully mechanised bord and pillar mining system, winning of coal and its transportation from the face is commonly carried out with the combination of
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(A) continuous miner, shuttle car, feeder breaker and belt conveyor (B) continuous miner, LHD, feeder breaker and chain conveyor (C) continuous miner, SDL, feeder breaker and belt conveyor (D) continuous miner, shuttle car, feeder breaker and chain conveyor
Q.23 An underground coal mine employing 1200 persons experiences 2 fatal injuries, 6 serious injuries and 8 reportable injuries during the year 2013. The total injury rate per 1000 persons employed for the year is ________.
Q.24 In self-contained chemical-oxygen self-rescuer, oxygen is produced by
(A) Hopcalite (B) potassium peroxide (C) sodium hydroxide (D) Protosorb
Q.25 The failure data of an equipment follows an exponential distribution. If the mean time between failures is 3000 hours, the reliability of the equipment for 750 hours is ________.
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Q. 26 – Q. 55 carry two marks each.
Q.26 In a 4.2 m wide and 3.0 m high gallery in a coal seam, twelve shot holes are blasted per round. The holes are charged with 2 explosive cartridges of 435 g each. If the powder factor of the blast is 2.2 tonne/kg and specific gravity of coal is 1.4, the pull per round of blast in m is
(A) 1.45 (B) 1.70 (C) 1.30 (D) 4.06
Q.27 The stadia readings with horizontal sight on a vertical staff held at 50 m from a tacheometer are 1.285 m and 1.780 m. The focal length of the object glass is 25 cm, and the distance between the object glass and the vertical axis of the tacheometer is 15 cm. The stadia interval in mm is ________.
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GATE 2015
MINING - MN
Q.28 In a shortwall panel, coal is extracted from the face by a continuous miner having rate of production 30 tonne/h. Coal having specific gravity of 1.4 is transported by shuttle cars of capacity 0.9 m³ each to a feeder breaker located at 60 m from the face. If the average speed of the LHD is 0.5 m/s, and total loading and unloading time of LHD is 40 s, the number of LHDs required to match the production of the continuous miner is
(A) 1 (B) 2 (C) 3 (D) 4
Q.29 Vertical photographs of an area lying 500 m above the mean sea level are to be taken at a scale of 1:20000 from an aircraft. If the camera has a focal length of 210 mm, the flying height of the aircraft above the mean sea level in m is ________.
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Q.30 Match the following locations with support types in coal mines.
| Location | Support type | |
| P. Roadway junctions | 1. Powered support | |
| Q. Between adjacent panels | 2. Chock and bolt | |
| R. Longwall face | 3. Back fill | |
| S. Goaf | 4. Barrier pillar |
(A) P-2,Q-3,R-1,S-4 (B) P-4,Q-3,R-1,S-2 (C) P-2,Q-4,R-1,S-3 (D) P-2,Q-3,R-4,S-1
Q.31 The value of ?v16-x² dx is ________.
(A) 12.57 (B) 50.24 (C) 25.13 (D) 3.14
Q.32 A rectangular field of area 20000 m² is to be divided into 6 different plots by fencing as shown in the figure. The value of L in m for which the total length of fencing becomes minimum is ________.
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