GATE MN topic:mining PYQs & Answers — Page 13

Questions 121–130 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 13 of 65

The directional derivative of a function

at the point P (3, 4, 5) in the direction vector

is___ (rounded off to 1 decimal place)

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Average noise level at a working place is 80 dB(A) for the first 10 minutes and 60 dB(A) for the next 30 minutes. The energy equivalent continuous noise level at the place for the entire period of 40 minutes, in dB(A), is_____ (rounded off to 2 decimal places)

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The area bounded by the curves,

, and

is ___ (rounded off to 3 decimal places)

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Data from a borehole log with collar elevation at 590 mRL are given below. Composite grade is calculated using cores of 5 m above and below the reference bench at 580 mRL. The composite grade, in %, is ___ (rounded off to 1 decimal place)

Sequence of cores (top to bottom)	Core length (m)	Grade (%)
1	3.0	40
2	3.0	42
3	2.0	41
4	3.0	43
5	2.0	42
6	3.0	41
7	3.0	44

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The information of a mining project for a life of three years is given below:

	Year 0	Year 1	Year 2	Year 3
Revenue (Crore Rupees)		200	300	400
Capital cost (Crore Rupees)	300
Operating cost (Crore Rupees)		30	40	35

Applicable tax rate = 30 %

Discount rate = 10 %

If straight line depreciation with zero salvage value is applicable, the NPV, in Crore Rupees, is ____ (rounded off to 2 decimal places)

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In a longwall panel, air flows at a velocity of 1.2 m/s through a 900 m long gate road of 2.5 m height and 3 m width. The coefficient of friction is 0.02 Ns²m⁻⁴. The frictional pressure drop, in Pa, between two ends of the gate road is ____ (rounded off to 3 decimal places)

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SO₂ is emitted at a rate of 20 kg/s from a 10 km × 10 km airshed in an industrial area. Wind blows at a speed of 4 m/s from one direction in that area. Radiation inversion restricts the mixing height to 1200 m. Neglect SO₂ concentration in the incoming air. Assuming emitted SO₂ to be conservative, the steady state SO₂ concentration in the airshed, in μg/m³, is____ (rounded off to 2 decimal places)

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Reciprocal levelling is performed for points P and Q by placing the same levelling instrument at A and B. The observations of staff readings are tabulated as below.

Instrument location	Station P (m)	Station Q (m)
A (near P)	1.512	2.100
B (near Q)	0.680	1.302

If the Reduced Level (RL) of P is 115.246 m, then the true RL of Q, in m, is ____ (rounded off to 3 decimal places)

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A wastewater sample has an ultimate BOD of 300 mg/L. BOD reaction rate constant is 0.22 per day at 20 °C. If the temperature coefficient is 1.05, the 5-day BOD at 25 °C, in mg/L, is ____ (rounded off to 2 decimal places)

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A double ended range drum (DERD) shearer uni-directionally cuts coal in a longwall panel having the following details

Shearer drum diameter = 1.4 m

Panel dimension = 1200 m × 200 m × 2.4 m

Web depth = 0.6 m

Average cutting speed = 5 m/minute

Average retreating speed = 10 m/minute

Average operational delay between cuts is 2 hour. There are two production shifts, each of 8 hour duration. The number of days required for complete extraction of the panel is ____ (in integer)

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GATE MN topic:mining PYQs

Question 56

Question 57

Question 58

Question 59

Question 60

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Question 63

Question 64

Question 65