GATE GG-1 format:nat PYQs & Answers — Page 2

Questions 11–20 of 155. Imported answers require independent review unless marked reviewed.

Topic practice 155 questionsPage 2 of 16

The figure below shows an infinite-slope model. If τ and SS denote the driving shear stress and the resisting shear strength, respectively, then τ along the failure plane is __________ × 10³ kg/m² (round off to two decimal places).

[Use: d = 2 m; ρsoil = 2.0 g/cm³; g = 9.8 m/s²]

Diagram for Geology and Geophysics question 60

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An oblique-slip normal fault dipping 60°E shows a net slip of 100 m. If the net slip vector has a pitch of 30°, then the heave of the fault is ________ m (answer in integer).

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A mafic magma with ‘Sr’ concentration of 400 ppm has undergone 60% fractional crystallization. If ‘Sr’ is incompatible in the mineral assemblage that crystallizes from the magma with a bulk distribution coefficient of 0.2, the concentration of ‘Sr’ in the residual liquid is __________ ppm (rounded off to nearest integer).

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The Fe-Mg exchange reaction between olivine and spinel is the following:

Mg₂SiO₄ + 2FeAl₂O₄ ↔ Fe₂SiO₄ + 2MgAl₂O₄ (Fosterite) (Fe-spinel) (Fayalite) (Mg-spinel)

Assuming ideal solid solutions, the temperature of equilibrium between olivine and spinel using the following data is __________ °C (round off to nearest integer).

[Assume that ΔHᵣ⁰ and ΔSᵣ⁰ are independent of P and T, and Kd is independent of P]

| ΔHᵣ⁰ (kJ/mol) | ΔSᵣ⁰ (J/mol. K) | Kd = [(xFe^Ol xMg^Sp)/(xMg^Ol xFe^Sp)]² | R (J/mol. K) | | −10.91 | −3.90 | 3.024 | 8.314 |

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The bore hole distribution of a massive sulphide deposit represented in the form of equilateral triangular pattern is given below. If the average thickness of the ore body is 30 m, the tonnage in the shaded area is ________ million tons (rounded off to two decimal places).

[Use: Bulk density of ore body = 4400 kg/m³]

Diagram for Geology and Geophysics question 64

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An aquifer has a surface area of 100 km². With no recharge, assume that pumping out 2 × 10⁷ m³ of ground water resulted in a drop of the water table by 6 m. If the aquifer has a specific retention of 15 %, then the porosity of the aquifer is _____ % (rounded off to one decimal place).

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A watershed has an area of 74 km

. The stream network within this watershed consists of three different stream orders. The stream lengths in each order are as follows:

order streams: 3 km, 2.5 km, 4 km, 3 km, 2 km, 5 km

order streams: 10 km, 15 km, 7 km

III

order streams: 30 km

The drainage density of the watershed is __________ km/km

(Round off to two decimal places)

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A sample contains 7 wt% CaO and 5 wt% MgO. The molar ratio of CaO to MgO in the sample is __________

(Round off to two decimal places)

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If the lowest Digital Number (DN) value in an image of 10-bit radiometric resolution is 0, then the maximum DN value of that image is __________

(Answer in integer)

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If one liter of water at pH 7 is mixed with one liter of water at pH 6, the resulting pH of the mixture is __________

(Round off to two decimal places)

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GATE GG-1 format:nat PYQs

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 16

Question 17

Question 24

Question 25