GATE 2024 Question Paper for Mining Engineering (MN)

GATE
2024
Question Paper | Answer Key
Graduate Aptitude Test in Engineering
(GATE) is a prestigious national-level exam
that assesses candidates for
comprehensive understanding in various
undergraduate-level subjects in
Engineering, Technology, Science,
Architecture, and Humanities.

General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each

Q.1 If ‘→’ denotes increasing order of intensity, then the meaning of the words

[drizzle → rain → downpour] is analogous to [ ______ → quarrel → feud].

Which one of the given options is appropriate to fill the blank?

(A) bicker

(B) bog

(C) dither

(D) dodge

Page 1 of 32

Q.2 Statements:

1. All heroes are winners.
2. All winners are lucky people.

Inferences:

I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.

Which of the above inferences can be logically deduced from statements 1 and 2?

(A) Only I and II

(B) Only II and III

(C) Only I and III

(D) Only III

Page 2 of 32

Q.3 A student was supposed to multiply a positive real number 𝑝 with another positive
real number 𝑞. Instead, the student divided 𝑝 by 𝑞. If the percentage error in the
student’s answer is 80%, the value of 𝑞 is

(A) 5

(B) √2

(C) 2

(D) √5

Q.4 If the sum of the first 20 consecutive positive odd numbers is divided by 202 , the
result is

(A) 1

(B) 20

(C) 2

(D) 1/2

Page 3 of 32

Q.5 The ratio of the number of girls to boys in class VIII is the same as the ratio of the
number of boys to girls in class IX. The total number of students (boys and girls) in
classes VIII and IX is 450 and 360, respectively. If the number of girls in classes
VIII and IX is the same, then the number of girls in each class is

(A) 150

(B) 200

(C) 250

(D) 175

Page 4 of 32

Q.6 – Q.10 Carry TWO marks Each

Q.6 In the given text, the blanks are numbered (i)−(iv). Select the best match for
all the blanks.

(i) (ii)
Yoko Roi stands as an author for standing as an honorary
(iii) (iv)
fellow, after she stood her writings that stand the freedom of
speech.

(A) (i) out (ii) down (iii) in (iv) for

(B) (i) down (ii) out (iii) by (iv) in

(C) (i) down (ii) out (iii) for (iv) in

(D) (i) out (ii) down (iii) by (iv) for

Page 5 of 32

Q.7 Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container.
The figure below shows the arrangement of the chalk-sticks inside the cylinder.

The length of the container is equal to the length of the chalk-sticks. The ratio of
the occupied space to the empty space of the container is

(A) 5/2

(B) 7/2

(C) 9/2

(D) 3

Page 6 of 32

Q.8 The plot below shows the relationship between the mortality risk of cardiovascular
disease and the number of steps a person walks per day. Based on the data, which
one of the following options is true?

1
Mortality Risk of Cardiovascular Disease

0.8

0.6

0.4

0.2

0
0 5000 10000 15000 20000
Steps/Day

(A) The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk
reduction on increasing the steps/day from 10000 to 20000.

(B) The risk reduction on increasing the steps/day from 0 to 5000 is less than the risk
reduction on increasing the steps/day from 15000 to 20000.

(C) For any 5000 increment in steps/day the largest risk reduction occurs on going from
0 to 5000.

(D) For any 5000 increment in steps/day the largest risk reduction occurs on going from
15000 to 20000.

Page 7 of 32

Q.9 Five cubes of identical size and another smaller cube are assembled as shown in
Figure A. If viewed from direction X, the planar image of the assembly appears as
Figure B.

Figure A Figure B

If viewed from direction Y, the planar image of the assembly (Figure A) will
appear as

(A)

(B)

(C)

(D)

Page 8 of 32

Q.10 Visualize a cube that is held with one of the four body diagonals aligned to the
vertical axis. Rotate the cube about this axis such that its view remains unchanged.
The magnitude of the minimum angle of rotation is

(A) 120°

(B) 60°

(C) 90°

(D) 180°

Page 9 of 32

Q.11 – Q.35 Carry ONE mark Each

Q.11 Exposure to loud impulsive noise may lead to

(A) Nystagmus

(B) Siderosis

(C) Tinnitus

(D) Stannosis

Q.12 In a self-contained closed-circuit breathing apparatus,

(A) the exhaled air is released outside the apparatus.

(B) the exhaled air is wholly absorbed within the apparatus.

(C) CO2 is released outside the apparatus after separating from exhaled air.

(D) CO2 from exhaled air is absorbed with a chemical.

Q.13 A rectangular mine airway of 2.0 m width and 2.5 m height has a bend with
deflection of 𝜋/4 radian. If the radius of curvature of the bend is 4.0 m, the shock
factor of the bend is (round off to three decimals)

(A) 0.014

(B) 0.024

(C) 0.051

(D) 0.071

Page 10 of 32

Q.14 In an underground coal mine, two fatalities and three serious bodily injuries
occurred during the year 2022. The average daily employment is 1100 and annual
working days is 300. The severity index as per DGMS guideline for the mine is

(A) 12.32

(B) 25.58

(C) 31.21

(D) 34.63

Q.15 For a geared engine winding system, the man winding cage is placed at its normal
position at pit top of the shaft. As per CMR 2017, the minimum space, in m, between
the center of the hole of the detaching hook attached to the rope shackle and
detaching belt plate is

(A) 3.6

(B) 2.4

(C) 1.8

(D) 1.5

𝜋⁄
Q.16 The value of integral, 𝐼 = ∫0 4 𝑐𝑜𝑠𝑥 𝑠𝑖𝑛3 𝑥 𝑑𝑥 is

(A) 1
64

(B) 1
16

(C) 1
4

(D) 1

Page 11 of 32

Q.17 𝑛 𝑠𝑖𝑛5𝑥
The value of lim ( ) is
𝑥→0 𝑠𝑖𝑛3𝑥

(A) 2𝑛

(B) 3𝑛/5

(C) 6𝑛/5

(D) 5𝑛/3

Q.18 The spherical semivariogram model (  (h ) ) is represented by the following
expression, where h is the lag distance.

 C0 , for h = 0
  h h 
3

 (h) = C0 + (C − C0 ) 1.5 − 0.5  , for 0  h  a
  a  a  
 C , for h  a

The parameters 𝐶0 , 𝐶 and 𝑎 are respectively known as

(A) nugget, range and sill.

(B) sill, nugget and range.

(C) sill, range and nugget.

(D) nugget, sill and range.

Page 12 of 32

Q.19 In a M/M/1 system, the inter-arrival time of dumpers to a shovel follows exponential
distribution with a mean arrival rate of 9 dumpers per hour. The service time of the
shovel follows exponential distribution with a mean service rate of 12 dumpers per
hour. The probability that exactly one dumper is available to the shovel is

(A) 1/16

(B) 3/16

(C) 3/4

(D) 1/4

Q.20 A project network with the sequence of five activities is shown.

The crashing costs of activities are

Activity A B C D E
Duration (week) 5 6 8 3 4
Crashing cost per week (lakh INR) 4.0 2.5 2.0 3.0 4.0

If the project is crashed by one week, the increase in project cost, in lakh INR, is

(A) 2.0

(B) 2.5

(C) 3.0

(D) 4.0

Page 13 of 32

Q.21 Match the following features with the corresponding symbols

Feature in mine plan Symbol
P 1
Shaft

Q 2
Staple shaft

R 3
Abandoned shaft

S 4
Abandoned staple shaft

(A) P → 1; Q →3; R → 4; S → 2

(B) P → 4; Q → 2; R → 1; S → 3

(C) P → 2; Q → 4; R → 3; S → 1

(D) P → 4; Q → 1; R → 2; S → 3

Q.22 If the major (𝜎1 ) and minor (𝜎3 ) principal stresses for a rock element have a
1
relationship as 𝜎3 = − 2 𝜎1, the maximum shear stress is expressed by

(A) 4
𝜎
3 1

(B) 3
𝜎
4 1

(C) 1
𝜎
2 1

(D) 1
𝜎
4 1

Page 14 of 32

Q.23 The ore that is NOT used for commercial extraction of metal is

(A) Wolframite.

(B) Dolomite.

(C) Cassiterite.

(D) Uraninite.

Q.24 The function of District Mineral Foundation established by state governments in
India, is to

(A) look after safety aspects of mining operations.

(B) approve mining plan.

(C) act as an environmental regulatory body.

(D) monitor welfare of mining affected people.

Page 15 of 32

Q.25 The percentage Fe and corresponding net value for an iron ore mine is given below

Fe (%) Net value (INR per tonne)
58 4000
62 4500

Assuming net value versus grade curve to be a straight line, and mining cost of
waste is INR 1000 /m3; the correct representation of stripping ratio, SR (m3/tonne)
versus Fe (%) grade curve is

(A) 𝑆𝑅 = −3.250 + 0.125 × 𝐹𝑒

(B) 𝑆𝑅 = 3.250 + 0.125 × 𝐹𝑒

(C) 𝑆𝑅 = 3250 + 125 × 𝐹𝑒

(D) 𝑆𝑅 = −3250 + 125 × 𝐹𝑒

Q.26 The magnitude of the curl of the vector 𝐅 = 2𝑥𝐢 + 3𝑦𝐣 + 4𝑧𝐤, is

(A) 0

(B) 4

(C) 9

(D) 25

Q.27 An explosive with a density of 1.2 g/cm3 has a heat of explosion equal to 900 cal/g.
If the heat of explosion of ANFO with density of 0.8 g/cm3 is 950 cal/g, the bulk
strength of the explosive relative to ANFO is _____. (round off up to 2 decimals)

Page 16 of 32

Q.28 A typical 24-hour activity of a mobile crusher plant is shown. The utilization, in %,
of the plant, is______. (round off up to 2 decimals)

Q.29 A coal washery discharges 300 m3/day of contaminated water in a stream having a
flow rate of 0.04 m3/s. The DO level of the stream and the contaminated water are
8.5 mg/L and 4 mg/L, respectively. Neglecting the impact of temperature, the
resultant DO, in mg/L, of the stream just after mixing is_______. (round off up to 2
decimals)

Q.30 The combined sound pressure level measured at a point in a production bench due
to one dumper and one shovel is 95 dB(A). If the sound pressure level of shovel
alone is 90 dB(A), the sound pressure level of the dumper alone, in dB(A), at the
same point is________, (round off up to 2 decimals)

Q.31 The void ratio of an unconsolidated soil heap of volume 1000 m3 is 1.0. If the soil
heap is consolidated to a volume of 800 m3, the corresponding void ratio
is________. (round off up to 2 decimals)

Q.32 For a circular path of radius 300 m, the super elevation is restricted to 0.1 m for a
width of 1.6 m. The maximum speed, in m/s, of vehicle to avoid overturn is ____.
(round off up to 2 decimals)

Page 17 of 32

Q.33 A scanline survey between points A and B of a rock mass is shown. Consider

𝑅𝑄𝐷 = 100 × (0.1𝜆 + 1) × exp(−0.1𝜆),

where, 𝜆 is the frequency of discontinuity per m. The RQD of the rock mass
is________. (round off up to 2 decimals)

Q.34 In a VCR stope, blast holes of 165 mm diameter are drilled. For the blast hole to
behave as a spherical charge, the maximum charge length, in m, is_____. (round off
up to 2 decimals)

Q.35 A rectangular development heading of dimension 3 m × 2.8 m is to be blasted with
holes of 2.4 m in length. If the pull factor is 0.95 and swell factor is 1.20, the volume
of blasted rock per round, in m3, is______. (round off up to 2 decimals)

Page 18 of 32

Q.36 – Q.65 Carry TWO marks Each

Q.36 Data from two production faces of an open pit iron ore mine are given.

Item description Face 1 Face 2
Maximum production capacity (tonne/day) 1600 2000
Fe (%) 63 58
Production cost of ores (in INR/tonne) 1500 1200

Ores from two different faces are blended and supplied with Fe grade not less than
60 %. Based on the demand, the combined production is limited to a maximum of
2500 tonne/day. If the selling price of blended iron ores is INR 4500 /tonne, the
optimal production from two faces in tonne/day, for maximizing the profit,
respectively are

(A) 1000.0 and 1500.0

(B) 1333.3 and 1166.7

(C) 1600.0 and 900.0

(D) 500.0 and 2000.0

Q.37 Four identical districts of a mine are ventilated with a quantity of 3500 m3/min at a
fan drift pressure of 1.15 kPa. When one of the districts is sealed off, the change in
resultant resistance is 0.072 Ns2 m−8. If the fan is stopped, keeping a district sealed,
the quantity through the mine becomes 850 m3/min. The natural ventilation pressure
in Pa, is

(A) 72.12

(B) 82.28

(C) 105.56

(D) 144.56

Page 19 of 32

Q.38 1 4 3
Matrix A = 5 2 1 , and B = A − AT , then B is
6 4 3

(A) symmetric.

(B) skew symmetric.

(C) diagonal.

(D) scalar.

Q.39 The roof convergence data for 30 days at a monitoring station in a coal mine gallery
is given.

Day Convergence reading (mm)
0 0
5 4.7
10 11.3
16 19.6
22 28.8
30 34.8

The management decides on a Trigger Action Response Plan (TARP) if the
following two premises occur simultaneously.

Premise 1: Rate of convergence exceeds 1.5 mm/day between two consecutive
measurements.
Premise 2: Rate of cumulative increase in convergence exceeds 1.0 mm/day.

Identify the day on which TARP is enforced in that gallery.

(A) 10

(B) 16

(C) 22

(D) 30

Page 20 of 32

Q.40 Magnitude of error in the determination of the integral, I using Simpson’s 1/3 rule,
taking step length as 1.0 is

3
𝐼 = ∫ (𝑥 3 + 6)𝑑𝑥
1

(A) 0

(B) 1.0

(C) 1.5

(D) 2.0

Q.41 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

(A) 190.7 and 303°

(B) 190.7 and 240°

(C) 160.3 and 240°

(D) 160.3 and 303°

Page 21 of 32

Match the method of mining with orebody geometry, orebody strength and type of
Q.42 supports.

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

(A) P→L→Y→3; Q→N→Z→1; R→M→X→2

(B) P→M→Y→2; Q→N→Z→1; R→L→X→3

(C) P→L→Y→2; Q→M→Z→3; R→N→X→1

(D) P→M→Y→1; Q→L→Z→3; R→N→X→2

Q.43 Vectors a = 2i + 3j − 4k and b = 4i + 2 j + 3k 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

(A) 28.93 and 0.58𝐢 − 0.76𝐣 − 0.27𝐤

(B) 28.93 and 17.0𝐢 − 22.0𝐣 − 8.0𝐤

(C) 14.46 and 0.58𝐢 − 0.76𝐣 − 0.27𝐤

(D) 14.46 and 17.0𝐢 − 22.0𝐣 − 8.0𝐤

Page 22 of 32

Q.44 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)

Q.45 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)

Page 23 of 32

Q.46 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)

Polluted air with particulate matters of diameter 50 µm enter with a horizontal
Q.47
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 2000 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 settling follows Stoke’s law, the minimum length in m, of the
chamber required for settling of the particle at its bottom, is ______. (round off up
to 2 decimals)

Q.48 In a tacheometry survey, the readings observed are given.

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

Page 24 of 32

Q.49 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 79.02%,

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

Q.50 A rectangular face of 2.0 m x 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)
𝑉𝑚 𝑞 𝑉−𝑉𝑚
[Use the relation, 𝑡 = 2.303 log + , where t = time, 𝑉𝑚 = volume
𝑄 𝑉𝑚 𝑐 𝑄
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]

Page 25 of 32

Q.51 Data for a centrifugal pump discharging water from a sump to the surface are given.

Head, m : 180

Discharge rate, m3/hr : 320

Operating hours per day for 270 days in a year : 14

Operating hours per day for remaining 95 days : 20

Overall efficiency of the pumping system : 0.70

Specific weight of mine water, kN/m3 : 10.20

The annual electrical power consumption in GWh, due to pumping operation, is
______. (round off up to 2 decimals)

The root of the function, 𝑓(𝑥) = 𝑥 3 − 2𝑥 2 + 3𝑥 − 1 in the interval [0, 1] using
Q.52 bisection method after two iterations, is ______. (round off up to 2 decimals)

A Bord and Pillar panel is developed at a depth of 250 m in a flat coal seam. The
Q.53 vertical stress gradient is 0.027 MPa/m. If the strength of a square pillar is 12.5 MPa,
the extraction ratio of the pillar for a safety factor of 1.5, is ______. (round off up
to 2 decimals)

A Mohr-Coulomb envelop between shear stress, τ and normal stress, 𝜎𝑛 of a
Q.54 sandstone rock is given as

𝜏 = 7.5 + 0.84 𝜎𝑛 (unit of stresses is MPa)

A sandstone sample is tested in triaxial mode with confining pressure of 5.0 MPa.
The value of the shear stress, 𝜏 in MPa at the failure, is______. (round off up to 2
decimals)

Page 26 of 32

A circular tunnel is constructed at a depth of 100 m. The average unit weight of
Q.55 overburden rock is 27.0 kN/m3. If the tangential stress measured at point A located
at the horizontal boundary of the tunnel as shown, is 5.0 MPa, the tangential stress
at point B in MPa, is______. (round off up to 2 decimals)

Page 27 of 32

A mine worker weighing (W) 600 N lifts an object of 100 N as shown. The 50%
Q.56 body weight is applied downward through point A and a force FE is produced
parallel to 𝑥 axis by the contraction of erector spinae muscle during lifting. The
lumber disc, L (shown by red box) acts as a smooth hinge and keeps the upper body
in static equilibrium. Ignore all other forces in the body. The magnitude of the
resultant of the reaction forces, in N at the lumber disc, is ______. (round off up to
2 decimals)

A solid ball of mass 10 kg is subjected to forces as shown. The magnitude of the
Q.57 acceleration in m/s2, is ______. (round off up to 2 decimals)

Page 28 of 32

In an open pit mine, the mineral inventory, prices, costs and capacities are given.
Q.58
Mineral inventory
Grade interval Tonnage (in million tonne)
0 < Cu% ≤ 0.3 0
0.3 < Cu% ≤ 0.4 5
0.4 < Cu% ≤ 0.5 5
0.5 < Cu% ≤ 0.6 5
0.6 < Cu% ≤ 0.7 5
0.7 < Cu% ≤ 0.8 5
0.8 < Cu% 0

Concentrating cost : INR 3,200/tonne of ore milled
Smelting & refinery cost : INR 10,000/tonne of copper metal
Selling price : INR 6,50,000/tonne of copper metal
Overall recovery : 100%
Maximum production capacity : 5 million tonne/annum

The mine is operating at 5 million tonne in a year. Considering mining capacity
being the only constraint, Lanes’ algorithm (based on profit maximization) is used
for determining mill cut-off grade. The total amount of copper produced in million
tonne, in the life of the pit, is ______. (round off up to 2 decimals)

A longitudinal section of a mined out stope block in a copper mine is shown by the
Q.59 shaded portion. For a uniform thickness of the stope block, the percentage of ore
recovery, is ______. (round off up to 2 decimals)

___

Page 29 of 32

The real rate of return from a mining project is 14%. If the inflation rate over the
Q.60 entire life of the mine is 5.5 %, then the nominal rate of return in %, is ______.
(round off up to 2 decimals)

In an opencast coal mine, blast vibrations are measured at two locations, A and B
Q.61 simultaneously for a maximum charge per delay (Q) of 1200 kg as given.

Location Distance from the blast face, D (m) PPV (mm/s)
A 100 112.5
B 300 20.3

Assume the relation
−𝛽
𝐷
𝑃𝑃𝑉 = 𝐾 [ ]
√𝑄

where, 𝐾 and 𝛽 are site constants. The PPV in mm/s, at a distance of 200 m from
the blast face, is ______. (round off up to 2 decimals)

A 35.0 kW motor transmits power to a pulley of 600 mm diameter, which rotates at
Q.62 400 rpm to drive a flat belt. The tension in the tight side is 2.5 times of the slack
side. Neglect all transmission losses. If the maximum allowable tension is 8.0 N per
mm of belt width, then the minimum width of the belt in mm, is ______. (round off
up to 2 decimals)

Page 30 of 32

A 1.2 m diameter drum winding system is shown. One of the winding ropes will be
Q.63 replaced for the manwinding cage.

Consider the following:
1) A new rope is recapped once at least in every 6 months and a length of 2 m
including existing capping is to be cut off from the rope before recapping.
2) The maximum life of a rope is 3.5 years and at least 2 rounds of rope should
remain on the drum while the descending cage lands at the bottomost landing
point.
3) No overwinding will take place during the maximum life of the new rope.

Neglecting the impact of fleet angle on the length of the rope, the minimum length,
in m, of new winding rope is ______. (round off up to 2 decimals)

Page 31 of 32

Q.64 For a continuous miner (CM) panel, the following data are given.

Data related to CM

Dimension of a working face : 5.0 m (width) x 3.0 m (height)
Web depth, m : 0.6
Time for one web cut up to full height, min : 9

Data related to shuttle car

Bucket capacity of shuttle car, tonne : 10
Fill factor : 0.9
Number of cars :2
Cycle time of each car including
loading, travel and unloading, min :6

Assume, unit weight of coal is 1.4 tonne/m3 and its swell factor is 1.2. Consider, 6
working hours per shift.

The non-working time in min, in working hours per shuttle car to dispatch all coal
cut by the CM, is ______. (round off up to 2 decimals)

In a development coal face, 12 holes are drilled and charged with explosive. Holes
Q.65 are initiated with electric delay detonators connected in series. The length of a
detonator lead wire is 1.5 m. The length of the blasting cable is 120 m.

Data are as given:

Resistance of each detonator : 1.48 Ω
Resistance of lead wire : 0.04 Ω/m
Resistance of one wire of the blasting cable : 0.009 Ω/m

The total resistance of the circuit in Ω, is ______. (round off up to 2 decimals)

Page 32 of 32

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