GATE MN format:nat PYQs & Answers — Page 14

Questions 131–140 of 300. Imported answers require independent review unless marked reviewed.

Topic practice 300 questionsPage 14 of 30

In a health centre, the probability of ‘full occupancy’ of COVID beds for a day is 0.8. Assuming Binomial probability distribution, the probability of full occupancy exactly for 5 days in a week, is ______. (round off to three decimal places)

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Following information is given for a drilling operation to be carried out for overburden removal in a surface mine.

Parameter	Value
Volume of rock blasted per round, m³	3,20,000
Number of blast holes	100
Drill hole diameter (D), mm	200
Length of subgrade drilling	8D
Stemming length	25D
Bench height, m	30
Powder factor, m³/kg	3.2

The amount of explosive per unit length of charge in kg/m, is ______. (round off to two decimal places)

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The shaft-top coordinates of two vertical shafts are given below. The depth of the shaft A and B are 200 m and 149 m, respectively.

Shaft	Latitude (m)	Departure (m)	Surface RL (m)
A	N70.0	W150.0	250
B	N170.0	E50.0	209

The downward gradient of the line joining the bottom of the two shafts in degrees, is ______. (round off to two decimal places)

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The oxygen-balanced equation for explosive ANFO is given below.

For 100 litre of fuel oil having density 850 kg/m³, the amount of ammonium nitrate to be mixed, in kg, is ______. (round off to two decimal places)

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Two weightless cables of equal length and cross sectional area are hanging from a ceiling as shown in the figure. They are connected by a horizontal bar of length 1.0 m and pulled by a force, F. The modulus of elasticity of Cable-1 and Cable-2 are 50 GPa and 200 GPa, respectively. If the deformation in both the cables is equal, the distance x, in m is ______. (round off to one decimal place)

Diagram for Mining Engineering question 48

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A circular tunnel of radius 3 m is constructed in a hydrostatic stress field of 15 MPa. The modulus of elasticity and Poisson’s ratio of the rock are 5 GPa and 0.25, respectively. A uniform support pressure

is applied at tunnel boundary to restrict the radial deformation at the tunnel boundary to 4 mm. The value of

in MPa is ______. (round off to two decimal places)

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The extraction ratio during development of a bord and pillar panel is 0.15 in a flat coal seam. The panel is further extracted by widening the galleries, and the extraction ratio changes to 0.25. The percentage change in pillar stress, considering tributary area method, is ______. (round off to two decimal places)

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In a small metal mine a battery powered locomotive hauls a train of mine tubs such that:

Parameter	Value
The weight of the train of mine tubs, tonne	3.0
The coefficient of friction between the wheels and the rails	0.06
The coefficient of adhesion between the loco wheels and the rails	0.2
Time required from the start to reach speed of 1.8 m/s through constant acceleration, min	3.0
Upward grade to be negotiated	1 in 20

The minimum weight of the locomotive in tonnes to meet these design requirements, is ______. (round off to one decimal place)

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A pump lifts mine water of density 1020 kg/m³, at 250 m³/hr from a depth of 150 m. The overall pump efficiency is 68%. Considering a head loss of 15 m due to pipe friction and shock, the motor input power, in kW is ______. (round off to two decimal places)

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In a surface mine bench, overburden is removed by the shovel-dumper combination. For the dumper:

Time required at the loading station: 3.0 min

Time required at the unloading station: 1.0 min

Distance between loading and unloading stations: 4.5 km

Average speed during loaded travel: 12.0 km/hr

Average speed during empty travel: 18.0 km/hr

Minimum number of dumpers required to avoid idle time of the shovel, is ______. (in integer)

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GATE MN format:nat PYQs

Question 44

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Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

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Question 53