GATE GG-1 format:nat PYQs & Answers — Page 3

Questions 21–30 of 155. Imported answers require independent review unless marked reviewed.

Topic practice 155 questionsPage 3 of 16

A hillslope is shown below. If the area over the failure plane is 50 m

and the weight of the hillslope material (W) is 2000 tons, the Factor of Safety (FS) for this hillslope in dry conditions is ____________

(Cohesion along failure plane = 196 KPa, dip of failure plane = 60°, and internal friction angle = 30°).

(Round off to two decimal places)

Diagram for Geology and Geophysics question 26

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The sediment yield at the outlet of a river having a catchment area of 8 km

is 6000 tons/year. If the sediment density is 1.5 g/cm

, the average erosion rate of the river basin is __________ mm/yr.

(Round off to two decimal places)

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In a hypothetical rock, the K

values of element E in minerals M1, M2, and M3 are 1.5, 1.0, and 0.5, respectively. The modal abundances of M1, M2, and M3 are 10%, 40%, and 50%, respectively. The bulk partition coefficient of element E in this rock is __________

(Round off to two decimal places)

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A sediment core of 4 cm diameter and 35.81 cm height was collected. This core had an initial weight of 1000.00 g and upon drying the sediment, the weight decreased by 133.75 g. This core has a void ratio of 0.4257, where void ratio is defined as the ratio of volume of void to the volume of solid (Vᵥ/Vₛ). The average density of the sediment in the core is _____ g/cm³.

(Round off to two decimal places)

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On a normal fault plane dipping 60° towards east, the measured heave and throw are 5 m and 12 m, respectively. If the strike-slip component of the fault is 13 m, the magnitude of true displacement of the fault is __________ m.

(Round off to one decimal place)

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In the isochemical phase diagram shown below, the curved arrow represents the P-T path. The variance at peak metamorphism is __________

Diagram for Geology and Geophysics question 62

(Answer in integer)

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A 3×3 image (Image A) has been linearly stretched to get the maximum contrast in an 8-bit display system. Digital Number (DN) values of the pixels in Image A are shown. The value of the pixel marked as ‘?’ in the output Image B after linear stretching is __________.

Diagram for Geology and Geophysics question 63

(Answer in integer)

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Th and

Ra are intermediate nuclides in the decay series of

U to

Pb. The half-lives of

Th, and

Ra are 4.47 billion years, 75,000 years, and 1600 years, respectively. At secular equilibrium, when activities are equal, 10 billion atoms of

U are present. The number of atoms of

Ra present at equilibrium is __________. (Answer in integer)

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The following table provides the mineral chemistry of a garnet. All oxides are in weight percentage and cations in atoms per formula unit. Total oxygen is taken as 12 based on the ideal garnet formula. Consider Fe as Fe

and Fe

= 0. The X

of this garnet is __________.

Oxides	Wt %	Cations	apfu
SiO	39.51	Si	2.998
TiO	0.05	Ti	0.003
Al O	22.35	Al	1.999
Cr O	0.00	Cr	0.000
FeO	26.25	Fe	1.66
MnO	0.00	Mn	0.000
MgO	10.80	Mg	1.21
CaO	1.40	Ca	0.114
Na O	0.00	Na	0.000
K O	0.00	K	0.000
Total	100.36	Total cation	8.01

(Round off to three decimal places and do not multiply by hundred)

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A cylindrical sample of granite (diameter = 54.7 mm; length = 137 mm) shows a linear relationship between axial stress and axial strain under uniaxial compression up to the peak stress level at which the specimen fails. If the uniaxial compressive strength of this sample is 200 MPa and the axial strain corresponding to this peak stress is 0.005, the Young’s modulus of the sample in GPa is ______ (in integer).

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GATE GG-1 format:nat PYQs

Question 26

Question 43

Question 44

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 17