GATE GG-1 format:nat PYQs & Answers — Page 11 — Exam Papers

Questions 101–110 of 155. Imported answers require independent review unless marked reviewed.

Topic practice 155 questionsPage 11 of 16

If density of quartz is 2650 kg/m³ and that of orthoclase is 2550 kg/m³, the lithostatic pressure due to a granite with 68 modal % quartz and 32 modal % orthoclase at a depth of 10 km will be ________ bar. (Round off to 2 decimal places) (Acceleration due to gravity g = 9.8 m/s².)

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The unit-cell of an orthorhombic mineral was compressed during deformation from 5 Å to 4.5 Å along the c-axis, with the other two dimensions remaining unaffected. The absolute value of the shift in the position of the (001) peak in its XRD pattern is ________ °2θ. (Round off to 3 decimal places) (Wavelength of X-ray used = 1.5418 Å. For orthorhombic system:

.)

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The grade of iron in an ore body containing 80 wt. % hematite and 20 wt. % gangue is ________ %. (Round off to 2 decimal places) (Atomic wt. of Fe = 55.85, atomic weight of O = 16)

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The abundances of the isotopes ³⁵Cl (atomic mass = 34.9685 amu) and ³⁷Cl (atomic mass = 36.9650 amu) are 75.77 % and 24.23 %, respectively. The calculated atomic weight of Cl is ________ amu. (Round off to 3 decimal places)

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A vertical profile perpendicular to the crest line of an asymmetrical ripple is given in the figure. The calculated Ripple Index is ____________.

Diagram for Geology and Geophysics question 23

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A source rock undergoes melting. Assuming batch melting, 5% partial melting and bulk distribution coefficient of 0.045, the enrichment factor (Cₗ/C₀) of Rb in the melt will be __________. (Round off to 2 decimal places)

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If the ΔH of formation of CaSiO₃, SiO₂ and CaO from Ca, Si and O are respectively −1635, −911 and −635 kJ/mol, the enthalpy of formation of CaSiO₃ from CaO and SiO₂ is __________ kJ/mol.

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The tip-line of an actively propagating thrust fault is located at a depth of 1 km from the horizontal ground surface. The average density of the material from the ground surface to this depth is assumed to be uniform and can be taken as 2700 kg/m³. The rock at this depth follows the failure criterion given by the equation:

, where

and

are the maximum and minimum principal stresses. Considering Anderson’s theory of faulting, the calculated maximum principal stress at this depth is __________ Mega-Pascal (MPa). (Assume the acceleration due to gravity (g) to be 10 m/s².)

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During a rockslide, a 20 kg granite block gets dislodged from the top of a planar hill slope and starts sliding down the slope as shown in the figure. The slope angle is 30° with the horizontal. After travelling a distance of 40 m in the same direction on the slope, the block hits the road. Assuming zero cohesion and zero friction, and considering acceleration due to gravity (g) as 10 m/s², the velocity with which the block hits the road is __________ m/s.

Diagram for Geology and Geophysics question 27

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Liquid limit and plastic limit of a soil are 40% and 20%, respectively. If the natural (i.e. in situ) water content of the soil is 30%, the liquidity index is ________________.

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