Geology and Geophysics
GATE GG-1 exam:gate PYQs
Build your understanding with focused practice from past exam papers.
Questions 381–390 of 650. Imported answers require independent review unless marked reviewed.
Question 46
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Under uniaxial compression, a cylindrical quartzite specimen (length = 122 mm and diameter = 60 mm) showed linear elastic behaviour. The uniaxial compressive strength and the modulus ratio of the rock are 150 MPa and 500, respectively. The axial strain at 75 MPa during the loading was __________ milli-strain. [in integer]
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The sketch shows a triangular rock mass (ABC) resting on a joint plane (AC) inclined at 35° with the horizontal. A rockbolt having an inclination of 25° with the horizontal is used to stabilize the slope. If the bolt tension (T) is 110 kN, the absolute value of shear force along the joint plane induced by the bolt tension is ________ kN. [in integer]
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A stratified confined aquifer consists of three parallel homogeneous and isotropic horizontal layers with thickness of 10 m, 5 m and 5 m. The layers have the same width. The hydraulic conductivities of the strata are 15 m/day, 20 m/day and 30 m/day, respectively. The water flow follows Darcy's law and is parallel to the strata. Considering the same hydraulic gradient for all the layers, the effective hydraulic conductivity of the aquifer is ________ m/day. [in integer]
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A drainage basin of fourth order covers an area of 35 km². Within the basin, the total lengths of the 1st order, 2nd order and 3rd order drainages are 11.5 km, 8.5 km and 4.2 km, respectively. If the drainage density of the basin is 0.8 km⁻¹, the total length of the 4th order drainage is ________ km. [round off to one decimal place]
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The grade of copper (in wt%) of an ore body determined at locations 1, 2 and 3 are indicated (in parentheses) below. The grade of copper at an unknown location x calculated using Inverse-Square Distance Weighting (IDW) is ________ wt %. [round off to 2 decimal places]
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The heat flux at the Earth’s surface is 60 mWm⁻². If the thermal conductivity at the surface is 2.5 Wm⁻¹ °C⁻¹, the geothermal gradient is ________ °C/km. [in integer]
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A rock formed at time t₀ = 0 with number of ¹⁴C atoms = 10⁵. The number of ¹⁴C atoms (in log₁₀) after a time of 8×10³ years is ________. [round off to 3 decimal places] (Use a decay constant of 1.25 × 10⁻⁴ yr⁻¹)
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In the given reaction,
2Fe²⁺ + 3H₂O → Fe₂O₃ + 6H⁺ + 2e⁻
consider ideal condition, take concentration of Fe²⁺ as 10⁻⁵ mol, E⁰ = 0.98 V and pH=6. The value of (2.303 × R × T)/F = 0.059 (where F is the Faraday constant). The value of Eₕ on the Fe²⁺ / hematite boundary at 25 °C is __________ V. [round off to 2 decimal places]
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The first and second dissociation constants of H₂CO₃ are 6.71 × 10⁻⁷ and 4.68 × 10⁻¹¹, respectively. If the concentration of H₂CO₃ is 1 mol and pH = 6, the ∑CO₂ in the solution (assuming ideal condition) is ______ mol. [round off to 3 decimal places]
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A satellite orbits the earth at an altitude of 700 km on the equatorial plane of the earth and it revolves in the same direction as the direction of rotation of the earth. Considering the radius of a spherical earth as 6300 km and the acceleration due to gravity as 10 m/s², the tangential velocity of the satellite in the orbit is ______ km/s. [round off to 2 decimal places]
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