GATE Geology 2022 Exam Solutions: A Complete Guide for Aspiring Geologists

Table of Contents

Question Paper-

Q.11 Which one of the following is the typical product of ductile deformation?

  • (A) Gouge
  • (B) Breccia
  • (C) Cataclasite
  • (D) Mylonite

Correct Answer: (D) Mylonite


Q.12 Which one among the following coastal erosional landforms is caused by the action of sea waves?

  • (A) Ventifact
  • (B) Kettle
  • (C) Cirque
  • (D) Cliff

Correct Answer: (D) Cliff


Q.13 In which one of the following regions of the electromagnetic spectrum does the maximum atmospheric scattering occur?

  • (A) UV
  • (B) IR
  • (C) Radiowave
  • (D) Microwave

Correct Answer: (A) UV


Q.14 Which one of the following is the Poisson’s ratio for an incompressible fluid?

  • (A) 0
  • (B) 0.25
  • (C) 1
  • (D) 0.5

Correct Answer: (D) 0.5


Q.15 Which among the following Period(s) belong(s) to the Paleozoic Era?

  • (A) Carboniferous
  • (B) Paleogene
  • (C) Silurian
  • (D) Cretaceous

Correct Answers: (A) Carboniferous and (C) Silurian

Q.16 The average bulk density of a fully saturated sandstone reservoir with a fractional porosity of 0.23 is ______ g/cc. [round off to 2 decimal places]

Given:

  • Matrix density (ρm) = 2.63 g/cc
  • Fluid density (ρf) = 1.05 g/cc
  • Porosity (φ) = 0.23

Formula:

Bulk Density (ρb) = (1 – φ) × ρm + φ × ρf

Calculation:

ρb = (1 – 0.23) × 2.63 + 0.23 × 1.05

ρb = 0.77 × 2.63 + 0.23 × 1.05

ρb = 2.0251 + 0.2415

ρb = 2.27 g/cc (rounded to 2 decimal places)

Correct Answer: 2.27 g/cc


Q.17 For a productive alluvial aquifer with hydraulic conductivity = 105 m/day and hydraulic gradient = 0.01, the flow rate is _________ m/day. [round off to 2 decimal places]

Given:

  • Hydraulic conductivity (K) = 105 m/day
  • Hydraulic gradient (I) = 0.01

Formula:

Flow rate (Q) = K × I

Calculation:

Q = 105 × 0.01

Q = 1.05 m/day

Correct Answer: 1.05 m/day


Q.19 How many independent elastic parameters are needed to describe a homogeneous isotropic material?

  • (A) 21
  • (B) 2
  • (C) 36
  • (D) 3

Correct Answer: (B) 2


Q.20 Which one of the following is a mafic volcanic rock?

  • (A) Dacite
  • (B) Trachyte
  • (C) Rhyolite
  • (D) Basalt

Correct Answer: (D) Basalt


Q.21 The intercepts of a crystal face on the crystallographic axes are ∞a, 2b, 3c. Which one of the following is its Miller Index?

  • (A) (032)
  • (B) (023)
  • (C) (203)
  • (D) (320)

Correct Answer: (C) (203)


Q.23 Choose the CORRECT statement(s) on seismic wave propagation in an elastic isotropic medium.

  • (A) P-waves are polarized in the direction of propagation.
  • (B) S-waves are polarized in the direction of propagation.
  • (C) Rayleigh waves are elliptically polarized.
  • (D) Love waves are elliptically polarized.

Correct Answers: (A) P-waves are polarized in the direction of propagation. (C) Rayleigh waves are elliptically polarized.


Q.24 The difference in arrival times of P- and S-waves generated by an earthquake and recorded at a seismological station is one second. Assuming a homogeneous and isotropic Earth, a P-wave velocity (VP) of 3 km/s, the ratio of P- to S-wave velocities (VP/VS) of 2.0, the distance between the station and the hypocenter is ________ km. [round off to 1 decimal place]

Given:

  • VP = 3 km/s
  • VP/VS = 2.0
  • Time difference (Δt) = 1 s
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Calculating S-wave velocity (VS):

VS = VP / (VP/VS) = 3 km/s / 2 = 1.5 km/s

Let D be the distance from the station to the hypocenter:

The arrival time difference can be expressed as:

Δt = D / VP – D / VS

1 = D / 3 – D / 1.5

1 = D(1/3 – 1/1.5)

1 = D(1/3 – 2/3)

1 = D(-1/3)

D = -3 km

Distance = 3 km

Correct Answer: 3.0 km


Q.25 Assuming the rate of rotation of the Earth is 7.27 × 10-5 radians/s and the radius of Earth is 6371 km, the centrifugal acceleration at 60° latitude for a spherically rotating Earth is ______ × 10-3 m/s2. [round off to 1 decimal place]

Given:

  • Rate of rotation (ω) = 7.27 × 10-5 radians/s
  • Radius of Earth (R) = 6371 km = 6.371 × 106 m
  • Latitude (φ) = 60°

Formula for centrifugal acceleration (ac):

ac = ω2 × R × cos(φ)

Calculation:

Convert φ to radians: φ = 60° = π/3 rad

ac = (7.27 × 10-5)2 × (6.371 × 106) × cos(60°)

ac = (5.29 × 10-9) × (6.371 × 106) × (0.5)

ac = 1.68 × 10-2 m/s2 = 16.8 × 10-3 m/s2

Correct Answer: 16.8 × 10-3 m/s2


Q.26 The angle of inclination of the remanent magnetization of a volcanic rock measured at a location is 45°. The magnetic latitude of the location of the volcanic rock at the time of its magnetization is _________ °N. [round off to 1 decimal place]

Given:

  • Inclination (I) = 45°

At magnetic equator, inclination is 0°; at poles, inclination is ±90°.

The angle of inclination can be used to determine magnetic latitude.

For an angle of inclination I, the magnetic latitude (φm) can be approximated as:

φm = I

Thus, the magnetic latitude is:

Correct Answer: 45.0 °N


Q.27 A coarse-grained igneous rock consists of 55% olivine, 25% augite and 20% enstatite. According to the IUGS classification, the rock is

  • (A) websterite
  • (B) lherzolite
  • (C) wehrlite
  • (D) harzburgite

Correct Answer: (B) lherzolite


Q.28 The rock-type used to build the walls of the Red Fort in Delhi is

  • (A) sandstone
  • (B) marble
  • (C) granite
  • (D) basalt

Correct Answer: (C) granite


Q.30 In the geological map of India, which one of the following geological units has the largest area?

  • (A) Vindhyan Supergroup
  • (B) Deccan Volcanic Province
  • (C) Singhbhum Granite
  • (D) Mesozoic rocks of Kutch

Correct Answer: (B) Deccan Volcanic Province


Q.31 Which one of the following cross-stratifications provides the paleocurrent direction on the truncated bedding surface of an undeformed cross-stratified sedimentary strata?

  • (A) Tabular
  • (B) Hummocky
  • (C) Trough
  • (D) Herringbone

Correct Answer: (C) Trough


Q.32 Which one of the following is a dinosaur?

  • (A) Stegodon
  • (B) Stegosaurus
  • (C) Equus
  • (D) Otoceras

Correct Answer: (B) Stegosaurus


Q.33 The Hoek-Brown failure envelope is typically the segment of which one of the following?

  • (A) Straight line
  • (B) Ellipse
  • (C) Parabola
  • (D) Hyperbola

Correct Answer: (D) Hyperbola


Q.34 Which one of the following is the optical spectral window suitable for remote sensing?

  • (A) 0.02 – 0.2 μm
  • (B) 0.4 – 14 μm
  • (C) 0.8 – 2.0 μm
  • (D) 0.01 – 1 m
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Correct Answer: (C) 0.8 – 2.0 μm


Q.35 A radioactive nucleus X1236 decays to Y1136. The number of α and β particles emitted during this decay are

  • (A) 12α and 1β
  • (B) 6α and 1β+
  • (C) 3α and 1β
  • (D) 3α and 1β+

Correct Answer: (C) 3α and 1β


Q.36 The silicate mineral(s) that commonly occur(s) in regionally metamorphosed siliceous dolomitic limestone is/are

  • (A) diopside
  • (B) cordierite
  • (C) tremolite
  • (D) wollastonite

Correct Answer: (B) cordierite


Q.37 Which of the natural hazard(s) listed below can be caused by Earthquakes?

  • (A) Tsunamis
  • (B) Landslides
  • (C) Cyclones
  • (D) Lightning

Correct Answer: (A) Tsunamis and (B) Landslides


Q.38 Which of the following is/are the driving force(s) behind plate motion?

  • (A) Slab-Pull
  • (B) Ridge-Push
  • (C) Mantle Convection
  • (D) Advection

Correct Answers: (A) Slab-Pull, (B) Ridge-Push, (C) Mantle Convection


Q.39 Which of the following is/are copper ore mineral(s)?

  • (A) Bornite
  • (B) Pentlandite
  • (C) Gahnite
  • (D) Covellite

Correct Answers: (A) Bornite and (D) Covellite


Q.40 Which of the following stratigraphic unit(s) of the Vindhyan Supergroup contain(s) commercially significant limestone deposit(s)?

  • (A) Bhander Formation
  • (B) Rewa Formation
  • (C) Kaimur Formation
  • (D) Rohtas Formation

Correct Answers: (B) Rewa Formation and (D) Rohtas Formation


Q.41 The strike and dip of the axial plane of a reclined fold is 022° and 28° SE, respectively. The plunge direction (in whole circle bearing) of the axis of the reclined fold is ______ degrees.

Solution:

  1. Understanding Strike and Dip:
    • The strike of the axial plane is 022°.
    • The dip of the axial plane is 28° to the southeast (SE).
  2. Finding Plunge Direction:

    The plunge direction can be calculated using the formula:


    Plunge Direction = Strike + 90° - Dip

    Plugging in the values:


    Plunge Direction = 022° + 90° - 28° = 084°

Final Answer: 058°


Q.42 If the shrinkage factor of a crude oil is 0.7, its formation volume factor is _____.

Solution:

  1. Understanding Shrinkage Factor:

    The formation volume factor (FVF) can be calculated as:

    FVF = 1 / Shrinkage Factor
  2. Calculation:

    Given shrinkage factor = 0.7:

    FVF = 1 / 0.7 ≈ 1.42857
  3. Rounding Off:

    Rounding to one decimal place gives:

    Correct Answer = 1.4

Final Answer: 1.4


Q.43 The cross section of a river channel is approximated by a trapezium. The river has an average channel width of 40 m and average depth of 3 m. If the average flow speed is 2 m/s, the discharge rate is _________ m3/s.

Solution:

  1. Discharge Rate Formula:

    Discharge (Q) is calculated as:

    Q = Area × Flow Speed
  2. Calculating Area of the Trapezium:

    For a trapezium, the area (A) can be calculated as:

    Area = Width × Depth

    Given width = 40 m and depth = 3 m:

    Area = 40 m × 3 m = 120 m2
  3. Calculating Discharge:

    Using the flow speed (2 m/s):

    Q = 120 m2 × 2 m/s = 240 m3/s

Final Answer: 240 m3/s


Q.44 A mineral of uniform composition is cut into a wedge shape. The birefringence of the wedge section is 0.012. The retardation at 40 μm thickness of the wedge is _______ nm.

Solution:

  1. Understanding Retardation:

    Retardation (R) can be calculated using:


    R = Birefringence × Thickness

  2. Converting Thickness:

    Convert 40 μm to nm:


    40 μm = 40,000 nm

  3. Calculation of Retardation:

    Given birefringence = 0.012:


    R = 0.012 × 40,000 nm = 480 nm

Final Answer: 480 nm


Q.55 Which of the following systems tract(s) indicate regression?

Options:

  • (A) Transgressive systems tract
  • (B) Falling stage systems tract
  • (C) Highstand systems tract
  • (D) Lowstand systems tract
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Correct Answer: (B) Falling stage systems tract


Q.56 Which of the following sedimentary feature(s) indicate(s) sub-aerial exposure of the depositional surface?

Options:

  • (A) Groove cast
  • (B) Double mud drape
  • (C) Rain print
  • (D) Adhesion ripple

Correct Answer: (C) Rain print


Q.57 Which of the following statement(s) is/are correct?

Options:

  • (A) Diatoms are algal forms.
  • (B) Dinoflagellates are unicellular algae.
  • (C) Petropods are planktic gastropods.
  • (D) Radiolarians are organic-walled microfossils.

Correct Answers: (A), (B), (C)


Q.58 Which among the following space groups is/are non-compatible with glide plane?

Options:

  • (A) Pab21
  • (B) Pnma
  • (C) P63/c
  • (D) P3c1

Correct Answer: (A) Pab21

Q.59 Which type of porphyroclast(s) listed below is/are suitable as kinematic indicators in ductile shear zones?

Options:

  • (A) σ – type
  • (B) θ – type
  • (C) δ – type
  • (D) φ – type

Correct Answer: (A) σ – type


Q.60 Which of the following parameter(s) is/are Rock Mass Rating (RMR) based on?

Options:

  • (A) Rock Quality Designation
  • (B) Uniaxial compressive strength of intact rock
  • (C) Groundwater conditions
  • (D) Rock composition

Correct Answers: (A), (B), (C)


Q.61 A sample of 10 g coal yields 1 g of moisture, 2 g of ash and 5.6 g of volatile matter.

The percentage of volatile matter content of the coal on a dry ash-free basis is calculated as follows:


Volatile Matter (VM) = (Weight of Volatile Matter) / (Weight of Sample - Weight of Ash)
                     = 5.6 g / (10 g - 2 g) × 100
                     = 5.6 g / 8 g × 100
                     = 70.0%

Answer: 70.0%


Q.62 A soil sample shows an average beta count of 6.8 counts per minute (cpm) per gram of organic carbon.

The 14C count rate from organic carbon of present-day vegetation is 15.26 cpm/g. The age of the sample can be calculated using the formula:


Age = (Half-life / ln(15.26 / 6.8)) 
    = (5370 / ln(15.26 / 6.8))
    = 5370 / ln(2.245) 
    = 5370 / 0.812
    ≈ 6607.3 years

Answer: 6607.3 years


Q.63 A digital camera with a focal length of 150 mm is flown at a height of 3000 m over a flat terrain.

The scale of the aerial photograph can be calculated using the formula:


Scale = Height / Focal Length
      = 3000 mm / 150 mm
      = 20

Answer: 1:20


Q.65 Operating costs of an open cast gold mine are Rs. 4000/tonne. The recovery at the mill is 90%.

At a gold price of Rs. 4550/g, the cutoff grade of gold calculated on the basis of operating cost can be calculated as follows:


Cutoff Grade = (Operating Cost) / (Gold Price × Recovery)
             = 4000 / (4550 × 0.9)
             = 4000 / 4095
             = 0.976 g/tonne

Answer: 0.98 g/tonne

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