GATE GG-1 topic:applied-geology PYQs & Answers — Page 3

Questions 21–30 of 33. Imported answers require independent review unless marked reviewed.

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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A cylindrical core of granite with a radius of 25 mm was subjected to point load test. The load was applied parallel to the diameter of the core and the failure load was 20 kN. The uncorrected point load strength index is ________ MPa.

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Which one of the following statements is CORRECT?

Your answerChoose one option.

Strength of a rock decreases with increase in confining pressure.

Strength of a rock increases with increase in temperature.

Strength of a rock increases with increase in strain rate.

Strength of a rock increases with increase in pore water pressure.

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A rock follows Mohr-Coulomb failure criterion. Which one of the Mohr-Coulomb failure envelopes shown below allows failure of the rock under stress state Y, but not under stress state X?

Diagram for Geology and Geophysics question 13

Your answerChoose one option.

PP′

QQ′

RR′

SS′

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The maximum and the minimum principal stresses are denoted by

and

, respectively. The differential stress can have an absolute value greater than

when

Your answerChoose one option.

and

are both compressive.

is compressive and

is tensile.

and

are equal.

and

are both tensile.

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Match the items listed in Group I with those in Group II.

Group I P. Determination of coefficient of compressibility of soils Q. A method of slope stabilization R. A method of in situ stress determination S. Determination of indirect tensile strength of rocks

Group II

Brazilian test

Overcoring

Oedometer test

Shotcreting

Your answerChoose one option.

P-4, Q-2, R-3, S-1

P-1, Q-4, R-2, S-3

P-3, Q-2, R-1, S-4

P-3, Q-4, R-2, S-1

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The mass and volume of a natural soil sample are 2.1 kg and 1×10

, respectively. When fully dried, the mass of the soil sample becomes 2 kg without any change in volume. Assuming the specific gravity of soil particles to be 2.5, and water density of 1000 kg/m

, the degree of saturation of the natural soil sample is ____________%.

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For a granitic rock mass, joint set number (Jn) = 9, joint water reduction factor (Jw) = 1, joint alteration number (Ja) = 1, stress reduction factor (SRF) = 1, rock quality designation (%) = 84 and joint roughness number (Jr) = 3. The Q-value as per Barton’s Q-system of rock mass classification (year 1974) is ____________.

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GATE GG-1 topic:applied-geology PYQs

Question 26

Question 27

Question 28

Question 53

Question 8

Question 13

Question 14

Question 35

Question 50

Question 51