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The individual reliability values of four sub-systems are given in the figure below. The reliability of the system is<br><img src="/images/question-image/mining-engineering/mine-system-engineering/1682421261-M2-7-40-36.PNG" title="Mine System Engineering mcq question image" alt="Mine System Engineering mcq question image">
A
0.42
B
0.22
C
0.61
D
0.52
Correct Answer:
0.52
A pumping station in a mine has 4 pumps, P
1
, P
2
, P
3
and P
4
which are connected functionally in parallel configuration as shown in the figure. The individual reliability of the pumps P
1
, P
2
, P
3
and P
4
are 0.80, 0.90, 0.85 and 0.95 respectively. For an effective dewatering operation in the mine denoting system success, at least three pumps should be in operation. The reliability of the system is
A
0.19
B
0.93
C
0.99
D
0.58
A bunker-conveyor system as shown in the figure works under the following scheme:
i. Bunker and two conveyors running
ii. Bunker and either of the two conveyors running
If the bunker and the two conveyors have identical reliability of 0.9. the system reliability is
A
0.729
B
0.810
C
0.999
D
0.891
The figure of a solid marked 'X' is given below followed by four alternatives 1, 2, 3 and 4. If the solid is viewed in the direction of the arrow, which one of the four alternatives will represent the true view?
A
1
B
2
C
3
D
4
In an opencast mine shown in the figure below, the coal has a density of 1.4 t/m
3
. Assuming mining operation started from plane XY, the operating stripping ratio under the given conditions in m
3
/t is
A
2.32
B
2.47
C
2.56
D
2.64
The feasible region of an LP problem is shown as given below. The maximum value of the objective function Z = 1600X
1
+ 1200X
2
is
A
20400
B
20000
C
19200
D
16800
The force induced in the string BC due to the load 'W' as shown in the below figure is
A
W sinθ
B
W cosθ
C
W tanθ
D
W cotθ
Two blocks ‘A’ and ‘B’ of masses 150 kg and 50 kg respectively are connected by means of a string as shown in the below figure. The tension in all the three strings __________ be same.
A
Will
B
Will not
C
Either A or B
D
None of these
A block of mass m
1
, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m
2
, which moves vertically downwards as shown in the below figure. The tension in the string is
A
$$\frac{{{{\text{m}}_1}}}{{{{\text{m}}_2}}}$$
B
$${{\text{m}}_1}{\text{g}}\sin \alpha $$
C
$$\frac{{{{\text{m}}_1}{{\text{m}}_2}}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$
D
$$\frac{{{{\text{m}}_1}{{\text{m}}_2}{\text{g}}\left( {1 + \sin \alpha } \right)}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$
Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is
A
$$\frac{\pi }{{16}}\left( {{{\text{D}}^2} - {{\text{d}}^2}} \right)$$
B
$$\frac{\pi }{{16}}\left( {{{\text{D}}^3} - {{\text{d}}^3}} \right)$$
C
$$\frac{\pi }{{32}}\left( {{{\text{D}}^4} - {{\text{d}}^4}} \right)$$
D
$$\frac{\pi }{{64}}\left( {{{\text{D}}^4} - {{\text{d}}^4}} \right)$$
A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will ___________ with the increase in coefficient of friction.
A
Increase
B
Decrease
C
Not be effected
D
None of these
