Mining Engineering Gate 2021 Questions with Answer

Ques 27 GATE 2021


In photogrammetry, the 'Tilt of a photograph' refers to the angle between the

A

lines joining the opposite fiducial marks of a photograph.

B

normal to the plane of photograph and optical axis.

C

vertical and the axis of the flight.

D

vertical and optical axis of the camera.


(d) is the correct answer.

Ques 28 GATE 2021


In the context of sound frequency analysis, the lower and upper frequencies of a 1/1 octave band are 710 Hz and 1420 Hz respectively. The corresponding centre frequency of the band in Hz, is __________.[round off to the nearest integer]


(999) is the correct answer.

Ques 29 GATE 2021


In Battle Environmental Evaluation System (BEES) of Environmental Impact Assessment (EIA), "air pollution" has a Parameter Importance Unit (PIU) value of 52. The Environmental Quality (EQ) score of a project with respect to air pollution was 0.8 before the project implementation and it becomes 0.6 after the project implementation. The difference in the "Environmental Impact Unit (EIU)" before and after the project implementation is _________. [round off to 2 decimal places]


(10.40) is the correct answer.

Ques 30 GATE 2021


A system consists of four components connected functionally in a parallel configuration. The reliability of the individual components is 0.40, 0.60, 0.50 and 0.40. The system reliability, is ________. [round off to 3 decimal places]


(0.918) is the correct answer.

Ques 31 GATE 2021


A vehicle is moving at a speed of 12 m/s on a level road. It applies emergency brakes and starts to skid without rolling in a straight path. The deceleration of the vehicle is constant after braking and it comes to rest at a distance of 15 m. Assuming, g=10 m/s2, the coefficient of kinetic friction between the tyres and road is ________. [round off to 2 decimal places]


(0.45) is the correct answer.

Ques 32 GATE 2021


In a bord and pillar panel six shuttle cars, each of 10 tonne capacity, are deployed to transport coal produced by two continuous miners to a belt conveyor. Each shuttle car on an average carries 80% of its rated capacity and makes 7 round trips in an hour. The belt conveyor has a capacity such that the effective material cross section area is of 0.09 m2 and runs at a speed 1.1 m/s. The broken coal has a bulk density of 1.2 tonne/m3. The ratio between the production and the capacity of the belt conveyor, in percent is

A

65.46

B

71.42

C

78.56

D

82.46


(c) is the correct answer.

Ques 33 GATE 2021


With reference to the figure related to rock cutting by point attack tool, match the angle with corresponding name.

A

P-2, Q-4, R-1, S-3.

B

P-4, Q-2, R-1, S-3.

C

P-2, Q-4, R-3, S-1.

D

P-4, Q-2, R-3, S-1.


(a) is the correct answer.

Ques 34 GATE 2021


The pit bottom in a correlation survey is shown in the figure. Points C and D represent two suspended wires. The bearing of line CD is 286°00'00" and its length is 4.64 m. The angle CED is measured as 00°00'40". The length of line DE is 5.46 m. Considering the Weisbach triangle method, the bearing of the line CE is

A

286°00'47"

B

285°59'12.9"

C

286°00'40"

D

285°00'47.1"


(b) is the correct answer.

Ques 35 GATE 2021


A dump truck moves up an incline of 5° with constant tractive force of 800 kN. The gross mass of the truck is 250 tonne and its rolling resistance is 545 kN. The acceleration due to gravity is 10 m2/s. The time required, in s, to reach a speed of 3.3 m/s from 1.0 m/s is

A

22.0

B

15.5

C

3.3

D

0.2


(b) is the correct answer.

Ques 36 GATE 2021


In a longwall panel, face is supported with shields of yield capacity 460 tonne per shield. The distance from the canopy tip to coal face is 0.15 m when the support is fully advanced. The depth of web is 0.60 m. The shields are set skin to skin at the face. Length of the canopy of the shield is 3.25 m and width 1.5 m. Setting capacity is 80% of the yield capacity. The setting resistance at the maximum and minimum span of the coal face, in tonne/m², respectively are

A

61.33 and 72.15.

B

63.72 and 75.48.

C

76.66 and 90.19.

D

91.99 and 108.22.


(a) is the correct answer.

Ques 37 GATE 2021


A 10 ml sample of wastewater is diluted with water having no BOD, to fill a 300 ml BOD bottle. The initial DO of the diluted waste water is 9.0 mg/L. If the BOD5 of the waste water sample is 60 mg/l, the final DO of the diluted waste water in mg/l, is

A

5.0

B

6.0

C

7.0

D

8.0


(c) is the correct answer.

Ques 38 GATE 2021


The Mohr circle of stress of a dry porous rock is shown in the figure. If the rock is fully saturated with a pore pressure p, then the Mohr circle takes the form of

A

B

C

D


(a) is the correct answer.

Ques 39 GATE 2021


The straight line shown depicts the failure criterion of a rock type. The values at A B of stress points and are as shown. The safety factor at the points A and B respectively are

A

1.175 and 0.755

B

1.324 and 0.851

C

0.851 and 1.324

D

0.755 and 1.175


(d) is the correct answer.

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