GATE MN year:2022 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

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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In a bord and pillar development panel, headings of 4.4 m × 2.5 m are advanced using solid blasting. The average pull per round of blast is 1.2 m. On an average 12 faces are blasted per day. Density of coal is 1500 kg/m³. The mine operates in three shifts. If the average daily employment is 330 persons, labour productivity (OMS) of the panel in tonne, is ______. (round off to two decimal places)

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In a longwall face, the full seam thickness of 3 m is cut by a shearer with a web of depth 0.7 m. The hauling speed of shearer during cutting is 12 m/min. The trough cross-section of AFC is 0.4 m² and the average loading coefficient is 0.7. In order to evacuate coal from the face without spillage, the speed of AFC, in m/s is ______. (round off to one decimal place)

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A city is spread over an area of 20 km × 40 km. Wind, at an average speed of 4 m/s, enters perpendicular to the 20 km long side. On a winter day the inversion layer exists over the city at a height of 100 m. PM₁ is emitted from the city at a rate of 1 kg/s. The steady state PM₁ concentration in the city air, in μg/m³, assuming Box model, is ______. (round off to one decimal place)

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The point ‘A’ as shown in the Coward flammability diagram represents the gas composition of a sealed-off area of a coal mine. The volume of the sealed-off area is 1000 m³. Inert gas is proposed to be injected into the sealed-off area so that the gas composition comes below the LEL (lower explosibility limit). The minimum volume of the inert gas required (at the same pressure as that of the sealed-off area), in m³ is ______. (round off to one decimal place)

Diagram for Mining Engineering question 57

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An underground workshop has dimensions of 8 m length, 6 m width and 4 m height. Four identical luminaires are placed at the four corners of the roof. Each luminaire is of 100 W capacity with luminous efficacy of 100 lumen/W. Light is transmitted spherical from luminaires and there are no reflections. The illumination on the horizontal plane at the centre of the floor, in lux is ______. (round off to two decimal places)

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An underground AC plant requires the delivery of 250 US gpm (15.85 US gpm = 1.0 lps) of chilled water. For this purpose, ice-pellets at 0 °C temperature (latent heat of melting, 334 kJ/kg) are mixed with water at 20 °C (specific heat 4.18 kJ/kg°C) on the surface. The mixture is adiabatically transported to the underground location such that the water at 7°C becomes available for the AC plant. The requirement of ice-pellets in tonne/hr to meet the design condition, is ______. (round off to two decimal places)

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An intake shaft has resistance of 0.05 Ns²/m⁸ up to a depth of 400 m. The airflow rate is 100 m³/s and the average density is 1.2 kg/m³. A barometer reads 99.375 kPa when placed on surface. Considering acceleration due to gravity is 9.81 m/s², the reading of the barometer at the depth of 400 m, in kPa is ______. (round off to two decimal places)

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GATE MN year:2022 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60