GATE MN branch:mn PYQs & Answers — Page 18

Questions 171–180 of 650. Imported answers require independent review unless marked reviewed.

In a closed traverse, ABC, the bearings of two lines AB and BC are given.

Line	Length (m)	Bearing
AB	100	90°
BC	120	150°

The length, in m and bearing of line CA, in degree, respectively, are

Your answerChoose one option.

190.7 and 303°

190.7 and 240°

160.3 and 240°

160.3 and 303°

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Match the method of mining with orebody geometry, orebody strength and type of supports.

Geometry	Strength	Support	Method
P. Tabular & Moderately Steep Q. Tabular & Flat R. Massive and Steep	L. Strong M. Moderate N. Weak	X. Unsupported Y. Artificially Supported Z. Self-supported	1. Cut and Fill 2. Block Caving 3. Room and Pillar

Your answerChoose one option.

P→L→Y→3; Q→N→Z→1; R→M→X→2

P→M→Y→2; Q→N→Z→1; R→L→X→3

P→L→Y→2; Q→M→Z→3; R→N→X→1

P→M→Y→1; Q→L→Z→3; R→N→X→2

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Vectors

and

represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both a and b respectively, are

Your answerChoose one option.

28.93 and 0.58i − 0.76j − 0.27k

28.93 and 17.0i − 22.0j − 8.0k

14.46 and 0.58i − 0.76j − 0.27k

14.46 and 17.0i − 22.0j − 8.0k

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Water is pumped from a mine sump at the rate of 300 m³/hr to an inverted conical water tank, as shown. The rate of rise in water level in m/min, at the instant water level reaches at 5 m height from bottom of the tank, is _____. (round off up to 2 decimals)

Diagram for Mining Engineering question 44

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A thermal power plant has an agreement with three mines M1, M2 and M3 to receive ‘Grade 1’ coal, in the proportion of 60%, 25% and 15%, respectively. The probabilities that a wagon supplied coal to the plant containing below ‘Grade 1’ from mines M1, M2 and M3 are 0.02, 0.03 and 0.04, respectively. On a random check, a sample wagon is found to carry below ‘Grade 1’ coal. The probability that the wagon belongs to mine M1, is _____. (round off up to 2 decimals)

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A transportation system for carrying ore from stock pile to railway siding through an ore bin is shown. The time between failure of each conveyor belt follows an exponential distribution with mean time between failure of 700 hours. The system is considered to be a ‘success’ if ore transports from stock pile to siding by any combination of belts. The reliability of the system for 350 hours of continuous successful operation is _____. (round off up to 2 decimals)

Diagram for Mining Engineering question 46

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Polluted air with particulate matters of diameter 50 μm enter with a horizontal velocity of 1.0 m/s at a height of 0.5 m from the bottom of a dry settling chamber. The density of the particle is 200 kg/m³ and dynamic viscosity of the air is 1.8 × 10⁻⁵ kg/m-s.

Assume streamline flow and the density of air is negligible as compared to particles and uniform horizontal velocity of 1.0 m/s of gas and particles within the chamber.

Considering particle setting follows Stoke’s law, the minimum length in m, of the chamber required for setting of the particle at its bottom is _____. (round off up to 2 decimals)

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In a tacheometry survey, the readings observed are given.

Instrument Station	Staff Station	Bearing of line of sight	Vertical angle	Staff readings (m)
P	A	145°	+8°	1.2, 1.7, 2.2
P	B	205°	+3°	0.8, 1.2, 1.6

The additive and multiplying constants of the instrument are 0 and 100, respectively. The length of the line AB in m, is _____. (round off up to 2 decimals)

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The data obtained from an air sample analysis of an old working in a coal mine are given.

O₂ 17.15%, CO₂ 3.40%, CH₄ 2.20%, and N₂ 77.25%.

Considering atmospheric air contains

O₂ 20.95%, CO₂ 0.03%, and N₂ 79.2%,

the percentage of blackdamp in the old working, is __. (round off up to 2 decimals)

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A rectangular face of 2.0 m × 2.5 m dimension is blasted with 20 kg explosive in a 1000 m long drive. One kilogram of explosive produces 2200 cm³ of nitrous fumes. The face is ventilated with a duct, located 10.0 m away from the face, to dilute the fumes. The quantity of air, in m³/s to be circulated for reducing the concentration of nitrous fumes to 5 ppm within a period of 5 minutes, is ____. (round off up to 2 decimals)

[Use the relation,

, where t = time,

= volume of the tunnel over which the mixing of the gases produced at the face and air delivered by the fan occurs, c = concentration at time t, V = volume of tunnel, Q = quantity of air flow, q = total volume of nitrous fumes produced]

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GATE MN branch:mn PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50