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Mining Engineering Gate 2024 Questions with Answer
Ques 27 GATE 2024
A transportation system for carrying ore from stock pile to railway siding through an ore bin is shown. The time between failure of each conveyor belt follows an exponential distribution with mean time between failure of 700 hours. The system is considered to be a 'success' if ore transports from stock pile to siding by any combination of belts. The reliability of the system for 350 hours of continuous successful operation, is __________. (round off up to 2 decimals)

Ques 28 GATE 2024
Polluted air with particulate matters of diameter 50 μ m enter with a horizontal velocity of 1.0 m/s at a height of 0.5 m from the bottom of a dry settling chamber. The density of the particle is 2000 kg/m3 and dynamic viscosity of the air is 1.8×10-5kg/m-s.
Assume streamline flow and the density of air is negligible as compared to particles and uniform horizontal velocity of 1.0 m/s of gas and particles within the chamber.
Considering particle settling follows Stoke's law, the minimum length in m, of the chamber required for settling of the particle at its bottom, is (round off up to 2 decimals)
Ques 29 GATE 2024
In a tacheometry survey, the readings observed are given.

Ques 30 GATE 2024
The data obtained from an air sample analysis of an old working in a coal mine are given.
O2 17.15%, CO2 3.40%, CH4 2.20%, and N2 77.25%.
Considering atmospheric air contains
O2 20.95%, CO2 0.03%, and N2 79.02%,
the percentage of blackdamp in the old working, is ________. (round off up to 2 decimals)
Ques 31 GATE 2024
A rectangular face of 2.0 m×2.5 m dimension is blasted with 20 kg explosive in a 1000 m long drive. One kilogram of explosive produces 2200 cm3 of nitrous fumes. The face is ventilated with a duct, located 10.0 m away from the face, to dilute the fumes. The quantity of air, in m3/s to be circulated for reducing the concentration of nitrous fumes to 5 ppm within a period of 5 minutes, is (round off up to 2 decimals)
[Use the relation, t=2.303Vm/Qlogq/Vmc+V-Vm/Q where t=time, Vm= volume of the tunnel over which the mixing of the gases produced at the face, and air delivered by the fan occurs, c= concentration at time, t, V= volume of tunnel, Q= quantity of air flow, q= total volume of nitrous fumes produced ]
Ques 32 GATE 2024
Data for a centrifugal pump discharging water from a sump to the surface are given.

Ques 33 GATE 2024
A Bord and Pillar panel is developed at a depth of 250 m in a flat coal seam. The vertical stress gradient is 0.027 MPa/m. If the strength of a square pillar is 12.5 MPa, the extraction ratio of the pillar for a safety factor of 1.5, is ________.(round off up to 2 decimals)
Ques 34 GATE 2024
A Mohr-Coulomb envelop between shear stress, t and normal stress, σn of a sandstone rock is given as
τ=7.5+0.84 σn ( unit of stresses is MPa )
A sandstone sample is tested in triaxial mode with confining pressure of 5.0 MPa. The value of the shear stress, t in MPa at the failure, is (round off up to 2 decimals)
Ques 35 GATE 2024
A circular tunnel is constructed at a depth of 100 m. The average unit weight of overburden rock is 27.0 kN/m3. If the tangential stress measured at point A located at the horizontal boundary of the tunnel as shown, is 5.0 MPa, the tangential stress at point B in MPa, is __________.(round off up to 2 decimals)

Ques 36 GATE 2024
A mine worker weighing (W) 600 N lifts an object of 100 N as shown. The 50% body weight is applied downward through point A and a force FE is produced parallel to x axis by the contraction of erector spinae muscle during lifting. The lumber disc, L (shown by red box) acts as a smooth hinge and keeps the upper body in static equilibrium. Ignore all other forces in the body. The magnitude of the resultant of the reaction forces, in N at the lumber disc, is _________. (round off up to 2 decimals)

Ques 37 GATE 2024
In an open pit mine, the mineral inventory, prices, costs and capacities are given.

Ques 38 GATE 2024
A longitudinal section of a mined out stope block in a copper mine is shown by the shaded portion. For a uniform thickness of the stope block, the percentage of ore recovery, is _________. (round off up to 2 decimals)

Ques 39 GATE 2024
The real rate of return from a mining project is 14%. If the inflation rate over the entire life of the mine is 5.5%, then the nominal rate of return in %, is _________.(round off up to 2 decimals)
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