What topics are covered on Page 4 of GATE 2026 Mining Engineering questions?

Page 4 contains Questions 40 to 52. Topics include Kata cooling power, booster fans, shaft sinking, shovel-dumper queueing, flat-jack stress measurement, self-contained breathing apparatus, mineral resource estimation, assignment problems, mine plug dams, depreciation, net present value, natural ventilation pressure and atmospheric dust settling.

What is the Kata cooling power in GATE 2026 Mining Engineering?

For a Kata thermometer factor of 480 milli-calories per square centimetre and a cooling time of 60 seconds, the Kata cooling power is 334.7 W/m².

How long can the SCBA supply oxygen to a miner?

A closed-circuit SCBA containing 2 litres of oxygen at 200 bar and supplying oxygen at 2 litres per minute can provide oxygen for a maximum duration of 200 minutes.

What is the average grade of the iron ore deposit in GATE 2026 Mining Engineering?

Using the borehole data supplied for resource estimation, the average grade of the iron ore deposit is 62.98 percent.

What is the depreciated shovel cost in its second year?

For a shovel costing ₹20 crore with a ₹2 crore salvage value and 10-year useful life under the declining-balance method, its depreciated cost in the second year is ₹12.62 crore.

How long does the 2.5 micrometre dust particle take to settle 500 m?

Under the stated quiescent atmospheric conditions, the 2.5 micrometre diameter dust particle takes 8.49 days to settle through 500 m.

Mining Engineering Gate 2026 Questions with Answer

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Ques 40 GATE 2026

In an underground mine atmosphere, the alcohol of a Kata thermometer took 60 s to fall from 38 °C to 35 °C. The Kata factor of the thermometer is 480 milli-calories cm^-2. The Kata cooling power, in W m^-2, is _______________. (rounded off to one decimal place)

(334.7) is the correct answer.

Ques 41 GATE 2026

In an underground coal mine, the air quantities Q_A and Q_B passes through ventilation districts A and B, respectively as shown, with a pressure drop of ΔP across them. The air quantity in district B is to be increased to Q′_B by installing a booster fan, as shown, without affecting the air quantity in ventilation district A. The capacity of booster fan (P_B) can be expressed as

P_B = ΔP(Q_B/Q′_B)² - ΔP

P_B = ΔP(Q′_B/Q_B)² - ΔP

P_B = ΔP - ΔP(Q′_B/Q_B)²

P_B = ΔP + ΔP(Q′_B/Q_B)²

(b) is the correct answer.

Ques 42 GATE 2026

Match the shaft sinking method with its applicability.
Shaft sinking method:

Method	Applicability
(P) Piling system	(1) Strata consisting of alternate strong and loose soil, and drum sinks down by its own weight
(Q) Caisson method	(2) Sinking through the loose ground near the surface
(R) Cementation	(3) Heavily watery strata, including quick sand
(S) Freezing	(4) Fissured water bearing strata without running sand

P→2, Q→3, R→4, S→1

P→4, Q→1, R→2, S→3

P→2, Q→1, R→4, S→3

P→4, Q→3, R→2, S→1

Ques 43 GATE 2026

A shovel needs to be selected from four models of different capacities, S1 to S4, for loading of dumpers. The operational data for the shovel-dumper combination are provided. The mean arrival rate of the dumpers at the loading point is 5 per hour and the waiting cost of dumper is ₹ 200 per hour. The inter-arrival time of dumpers and loading time of shovel follows exponential distribution. Ignoring the shovel hiring cost, the shovel type that will have minimum total cost (waiting and operating cost) is

Model	Operating cost (₹/hr)	Mean loading rate (dumpers/hr)
S1	800	8
S2	850	9
S3	920	10
S4	1000	11

(b) is the correct answer.

Ques 44 GATE 2026

The in-situ stresses are determined by Flat-jack method by making three slots (P, Q, and R) on the wall (ABCD) of a mine gallery as shown. The in-situ stresses σ_P, σ_Q, and σ_R are determined at slot-P, slot-Q, and slot-R, respectively (slot-P vertical, slot-Q horizontal, slot-R at 45°). If σ_P > σ_Q, and σ_R = 0, the shear stress on the wall is

(σ_P + σ_Q)/2

(σ_P - σ_Q)/2

-((σ_P + σ_Q)/2)

-((σ_P - σ_Q)/2)

Ques 45 GATE 2026

A closed-circuit self-contained breathing apparatus (SCBA) contains 2 liters of O₂ at 200 bar. If a miner consumes O₂ at a rate of 2 liters min^-1, the maximum duration that the apparatus can supply O₂, in min, is _______________. (answer in integer)

(200) is the correct answer.

Ques 46 GATE 2026

The borehole data for resource estimation for an iron ore deposit are shown. The average grade of the deposit, in %, is _______________. (rounded off to two decimal places)

(62.98) is the correct answer.

Ques 47 GATE 2026

A mine workshop needs to assign 4 jobs to 4 service engineers. The cost for performing a job by an individual service engineer is given. A typical job can be assigned to only one service engineer. If the service engineer S1 cannot perform the job J3, and S3 cannot perform the job J4, the optimal cost for completion of jobs is _______________. (answer in integer)

Service Engineer	J1	J2	J3	J4
S1	50	50	---	20
S2	70	40	20	70
S3	90	30	50	---
S4	70	20	60	30

(130) is the correct answer.

Ques 48 GATE 2026

A plug dam is to be constructed in a mine gallery of size 3.5 m × 2.5 m. The interfacial shear strength between the surrounding rock and plug dam is 1.0 MPa. The minimum thickness of the dam, in m, to withstand a water pressure of 10.0 MPa, is _______________. (rounded off to two decimal places)

(7.29) is the correct answer.

Ques 49 GATE 2026

A shovel costing (P) ₹ 20 crores has a salvage value (S) of ₹ 2 crores with a useful life (n) of 10 years. The annual depreciation is evaluated using declining balance method as given by
Depreciation rate = 1 − (S/P)^1/n
The depreciated cost of the shovel, in crores, in its 2^nd year is ₹ _______________. (rounded off to two decimal places)

(12.62) is the correct answer.

Ques 50 GATE 2026

An economic block model along with extraction sequence is shown. The numbers given at the centre of the block represent the year of extraction, and that at the corners represent the block economic value in ₹ (lakhs). If the discount rate is 10%, the net present value (NPV), in lakhs, is ₹________. (rounded off to two decimal places)

(2.43) is the correct answer.

Ques 51 GATE 2026

A main mechanical ventilator installed for an underground mine develops a pressure of 25 mm wg. A natural ventilation pressure (NVP) of 15 mm wg acting in the mine aids the ventilator, and a total 500 m³ min^-1 of air is circulated in the mine. Considering the same NVP aiding the ventilator, the pressure required, in mm wg, to be generated by the ventilator to circulate 1000 m³ min^-1 of air, is _______________. (answer in integer)

(145) is the correct answer.

Ques 52 GATE 2026

Dust particles from a blasting operation rise up in the atmosphere to a height of 500 m. The viscosity of air is 1.80 × 10^-5 kg m^-1 s^-1. Assume the particles have quiescent settling (no turbulence) in atmosphere. Neglecting air density, the settling time, in days, of a dust particle of 2.5 µm diameter and 3600 kg m^-3 density is _______________. (rounded off to two decimal places)

(8.49) is the correct answer.

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