Mining Engineering Gate 2023 Questions with Answer

Ques 40 GATE 2023


In a panel with 50 workers, a miner typically consumes 2.5×10-3m3/min of oxygen. The percentage of oxygen in the intake air is 20.95%. To ensure minimum permissible oxygen in the return air as per CMR 2017 the quantity of ventilating air in m3/min to be supplied to the panel is __________. [rounded off to 2 decimal places]


(7372.88) is the correct answer.

Ques 41 GATE 2023


In a quality control process of coal supplied to a thermal plant, the 3-sigma control limits for fixed carbon (FC) are defined by 40%±15%. The process is termed "out of control" if:
Rule 1: 4 out of 5 successive values of FC are situated at the same side of the mean and at a distance more than 1 standard deviation.
Rule 2: Any one value crosses any of the 3-sigma control limits.
For the following continuous data of FC (%): 49, 51, 56, 20, 46, 48, 47, 49, 45, 41, 42, 40, the process is

A

out of control because of both rules 1 & 2.

B

out of control because of rule 1 only.

C

out of control because of rule 2 only.

D

not out of control.


(c) is the correct answer.

Ques 42 GATE 2023


A tunnel of diameter 8 m is to be driven in a rock mass having quality index, Q of 1.0. Assume the excavation support ratio (ESR) of the tunnel is 1.0. The support requirement of the tunnel wall using fibre reinforced shotcrete (based on the chart prepared by Grimstad and Barton, 1993) is

A

Shotcrete of thickness 9-12 cm, bolt length of 2.7-2.8 m

B

Shotcrete of thickness 9-12 cm, bolt length of 3.0-3.2 m

C

Shotcrete of thickness 5-9 cm, bolt length of 2.7-2.8 m

D

Shotcrete of thickness 5-9 cm, bolt length of 2.5-2.6 m


(a) is the correct answer.

Ques 43 GATE 2023


Match the following devices with their intended applications.

A

P→1; Q→2; R→3; S→4

B

P→4; Q→3 R→1; S→2

C

P→3; Q→4; R→2; S→1

D

P→4;Q→3;R→2;S→1


(b) is the correct answer.

Ques 44 GATE 2023


A duct of diameter 0.60 m with an exhausting fan has -97.5 mm wg static pressure behind the fan when the air flow rate is 4.0 m3/s. If an evasee with inlet to outlet area ratio of 1:4 and efficiency 60% is attached to the outlet of the fan, the static pressure of the fan in mm of wg becomes

A

-104.26

B

- 99.13

C

-90.73

D

-80.6


(c) is the correct answer.

Ques 45 GATE 2023


Coordinate of two points A and B are (E0 m, N 200 m) and (E 300 m, N 200 m), respectively. The bearing of two lines AO and BO are 67° and 35°, respectively. The easting of point O, in m, is _________.[rounded off to 2 decimal places]


(111.80) is the correct answer.

Ques 46 GATE 2023


Data related to a surface miner operation are given below -
Drum width (m)=3.0
Average cutting depth (cm)=20
Average cutting speed (m/min)=25
Length of pit (m)=500
Turning time (min)=2
Truck exchange time (s)=30
Truck capacity (m3)=15
Considering in situ volume, the production rate of the surface miner in m3/hr, is ____________. [rounded off to 1 decimal place]


(843.8) is the correct answer.

Ques 47 GATE 2023


A continuous miner served by two shuttle cars produces 240 tonne/hr. The capacity of each shuttle car is 10 tonne. When a single shuttle car operates, the cycle time becomes 4 min. In case one of the shuttle cars is under break-down, the reduction in hourly production from that of two cars in percent is ________. [rounded off to 1 decimal place]


(16.7) is the correct answer.

Ques 48 GATE 2023


A circular tunnel is developed in a biaxial in situ stress field as shown in the figure. If the ratio between tangential stress at the boundary point A and that at the boundary point B is 2.0, the value of k is ____________. [rounded off to 2 decimal places]


(0.33) is the correct answer.

Ques 49 GATE 2023


Strength of a rectangular coal pillar in MPa is given by

where w, l(≥ w) and h are width, length and height of the pillar, respectively. The parameter S1 is constant. A 30 m square pillar is split into two halves as shown in the figure. The height of the pillar is 3 m.
The ratio of safety factors between one half-pillar and the original square pillar is [rounded off to 2 decimal places]


(0.78) is the correct answer.

Ques 50 GATE 2023


A dozer pushes up a 100 kg spool of cable along a 20° incline road at a constant velocity as shown in the figure. The coefficient of static friction between the dozer bucket and the spool (Point B) is 0.45, and coefficient of kinetic friction between road and the spool (Point A) is 0.15. Consider the spool only slides up the incline. The maximum normal force in N acting at Point B, is _______. [rounded off to 1 decimal place]


(761.4) is the correct answer.

Ques 51 GATE 2023


Stress waves are sent from the transmitter A to the receiver B through an isotropic and elastic cylindrical rock specimen as shown in the figure. The length of the specimen is 100 mm. The travel time of longitudinal and shear waves are 0.025 ms and 0.04 ms, respectively. The Poisson's ratio of the rock specimen is _________. [rounded off to 2 decimal places]


(0.28) is the correct answer.

Ques 52 GATE 2023


A jointed rock sample is subjected to 20 MPa vertical stress as shown in the figure.
The modulus of elasticity of the rock is 10 GPa and the normal stiffness of the joint surface is 5 GPa/m. Assuming one-dimensional elastic behaviour of rock and joint, the displacement in mm of the loading surface AB is __________. [rounded off to 1 decimal place]


(2.2) is the correct answer.

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