Mining Engineering
GATE MN topic:mining PYQs
Build your understanding with focused practice from past exam papers.
Questions 111–120 of 650. Imported answers require independent review unless marked reviewed.
Question 46
Open questionMNNAT2 marksNeeds review
In a surface mine, blasting is carried out using electronic detonator and cartridge emulsion explosive with following details:
Burden = 3.5 m
Spacing = 4.5 m
Bench height = 10.0 m
Subgrade drilling = 1.0 m
Stemming = 4.0 m
Linear charge concentration = 16 kg/m
Cost of one detonator = Rs. 800
Cost of explosive = Rs. 30/kg
The cost of blasting material per cubic meter of blasted rock, in Rs., is ______ (rounded off to 2 decimal places).
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A pit slope has the following information:
Number of benches = 5
Height of each bench = 8 m
Bench slope angle = 70 degree
If width of one bench is 24 m and that of other four benches is 10 m each, the overall pit slope angle, in degree, is ________ (rounded off to 2 decimal places).
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A direct rope haulage has the following details
Output = 24 tonne/hour
Length of trip = 610 m
Gradient = 1 in 12
Capacity of mine car = 1.0 tonne
Tare weight of mine car = 0.5 tonne
Average rope speed = 1.694 m/s
Change over time of cars = 3 minute
Acceleration due to gravity = 10.0 m/s^2
Neglecting all frictional resistance and mass of the rope, the minimum power required, in kW, to raise the loaded mine cars is ______ (rounded off to 3 decimal places).
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A mine void of dimension 100.0 m x 2.0 m x 1.2 m is to be filled in 3 hours by hydraulic stowing. The sand to slurry ratio is 0.4. If the hydraulic fill factor is 0.9, the hourly consumption of water for the operation, in m^3, is____ (rounded off to 2 decimal places).
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A 2.5 tonne diesel locomotive hauls 5 mine cars upslope having a gradient of 1 in 20. The constant tractive force of the locomotive is 1800 kN. The gross weight of a car is 3 tonne. Acceleration due to gravity is 10.0 m/s^2. If the acceleration of the system is 0.5 m/s^2, the rolling resistance in kN/tonne is______ (rounded off to 3 decimal places).
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A longwall panel is to be developed in a flat seam at a depth of H m. The surface subsidence profile (s) of the area with the horizontal distance x is estimated as
where, S_ is the maximum subsidence at the centre of the panel, x is measured from the inflection point. The value of x is negative towards the panel centre and positive towards the panel boundary.
The ratio between the critical width of the panel and the depth is_____ (rounded off to 2 decimal places).
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The percent Fe content of a random sample consisting of five observations is shown.
62 | 64 | 63 | 60 | 61
If mean grade of the stockpile is estimated using the above data, the standard error of mean grade, in %, is _____ (rounded off to 3 decimal places).
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In a bord and pillar panel, a square pillar of size 35 m × 35 m (centre to centre) is extracted to form four equal square-shaped stooks as shown. The width of each gallery and crosscut is 5 m. The height of the working seam is 3 m. The reduction in safety factor after pillar splitting by using Bieniawski’s pillar strength formula, in %, is____ (rounded off to 2 decimal places)
Bieniawski’s pillar strength formula,
; where,
= strength of 0.9 m^3 of coal block,
= pillar width and
= mining height

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A five-member truss system is shown in the figure. The maximum vertical force P in kN that can be applied so that loads on the member CD and BC do NOT exceed 50 kN and 30 kN, respectively is________ (rounded off to 2 decimal places).

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The characteristic polynomial of a third order matrix, A, is given by
If one of the eigen values of A is 1, then sum of the other two eigen values is ______ (in integer)
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