GATE MN topic:mining PYQs & Answers — Page 43

Questions 421–430 of 650. Imported answers require independent review unless marked reviewed.

A shovel of bucket capacity 4.2 m³ makes 900 passes per day with a fill factor of 0.8. If the swell factor of the rock is 1.4, then in-situ volume handled by the shovel in a month of 24 working days in m³ is __________ (round off to 1 decimal place).

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A cylindrical sample of granular material has the following measurements:

Length: 10 cm

Diameter: 5 cm

Weight: 350 g

Assume the sample is completely dry with specific gravity of solid grains 2.8. The void ratio of the sample is __________ (round off to 3 decimal places).

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The following consecutive readings were taken at uniform intervals with a level and a levelling staff on continuously sloping ground.

0.405, 1.035, 1.654, 0.240, 0.615, 1.125, 0.800, 1.125

The number of change points is __________.

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The cost of a slurry pump is Rs. 50,000 and it has an estimated life of 7 years. If the salvage value is Rs. 8,000, the annual depreciation following straight-line depreciation method, in Rupees is __________ (round off to 1 decimal place).

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In a mine bench, the shovel loading time follows exponential distribution with a mean loading time of 5 min per dumper. The arrival rate of dumpers that are identical in capacity, follows Poisson distribution with a mean arrival rate of 8 per hour. The probability that the shovel remains idle is __________ (round off to 2 decimal places).

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For

, the value of

Your answerChoose one option.

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For the differential equation

, assuming the constant of integration to be

, the general solution is

Your answerChoose one option.

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A belt-drive used for power transmission between two parallel shafts has a belt of mass 1.2 kg/m, and the maximum allowable belt tension is 2250 N. If the centrifugal tension is one third of the maximum allowable belt tension, the speed at which maximum power is transmitted by the belt, in m/s, is

Your answerChoose one option.

46.48

38.73

25.00

35.36

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An air receiver of a compressor, having volume 0.5 m

, supplies air for charging ANFO in drill holes. During the charging process the absolute pressure of the air receiver falls from 900 kPa to 700 kPa. Assuming the entire process is isothermal, the volume of air supplied by the receiver at 100 kPa ambient pressure, in m

Your answerChoose one option.

1.00

0.39

0.64

4.48

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A conveyor belt consumes 60 kW power while running at a speed of 3.0 m/s. The angle of lap is 180° and the coefficient of friction between belt and pulley is 0.2. The maximum tension (kN) in the belt is

Your answerChoose one option.

21.7

61.7

82.9

42.9

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GATE MN topic:mining PYQs

Question 21

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Question 30