GATE CE discipline:civil-and-environmental-engineering PYQs & Answers — Page 61

Questions 601–610 of 1300. Imported answers require independent review unless marked reviewed.

As per Rankine’s theory of earth pressure, the inclination of failure planes is

with respect to the direction of the minor principal stress.

The above statement is correct for which one of the following options?

Your answerChoose one option.

Only the active state and not the passive state

Only the passive state and not the active state

Both active as well as passive states

Neither active nor passive state

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A soil sample is underlying a water column of height

, as shown in the figure. The vertical effective stresses at points A, B, and C are

, and

, respectively. Let

and

be the submerged and saturated unit weights of the soil sample, respectively, and

be the unit weight of water. Which one of the following expressions correctly represents the sum

Diagram for Civil Engineering question 41

Your answerChoose one option.

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Henry’s law constant for transferring O₂ from air into water, at room temperature, is 1.3

. Given that the partial pressure of O₂ in the atmosphere is 0.21 atm, the concentration of dissolved oxygen (mg/liter) in water in equilibrium with the atmosphere at room temperature is

(Consider the molecular weight of O₂ as 32 g/mol)

Your answerChoose one option.

8.7

0.8

198.1

0.2

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A 100 mg of HNO

(strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol, 14 g/mol, and 16 g/mol, respectively. The final pH of this water is (Ignore the dissociation of water.)

Your answerChoose one option.

2.8

6.5

3.8

8.5

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In a water sample, the concentrations of Ca

, Mg

and HCO

are 100 mg/L, 36 mg/L and 122 mg/L, respectively. The atomic masses of various elements are: Ca = 40, Mg = 24, H = 1, C = 12, O = 16.

The total hardness and the temporary hardness in the water sample (in mg/L as CaCO

) will be

Your answerChoose one option.

400 and 100, respectively.

400 and 300, respectively.

500 and 100, respectively.

800 and 200, respectively.

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In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is C

N. The waste has to be treated by forced-aeration composting process for which air requirement has to be estimated.

Assume oxygen in air (by weight) = 23 %, and density of air = 1.3 kg/m

. Atomic mass: C = 12, H = 1, O = 16, N = 14.

C and H are oxidized completely whereas N is converted only into NH

during oxidation.

For oxidative degradation of 1 tonne of the waste, the required theoretical volume of air (in m

/tonne) will be (round off to the nearest integer)

Your answerChoose one option.

749

825

1418

1092

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Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by

, and

, respectively. The correct order of these densities is

Diagram for Civil Engineering question 44

Your answerChoose one option.

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A single-lane highway has a traffic density of 40 vehicles/km. If the time-mean speed and space-mean speed are 40 kph and 30 kph, respectively, the average headway (in seconds) between the vehicles is

Your answerChoose one option.

3.00

2.25

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Let

denote the maximum of two real numbers

and

. Which of the following statement(s) is/are TRUE about the function

Your answerSelect all correct options. You can choose more than one.

It is continuous on its domain.

It has a local minimum at

It has a local maximum at

It is differentiable on its domain.

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Let

be a non-zero vector of size

. Which of the following statement(s) is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

is a symmetric matrix.

is an eigenvalue of

has a rank of 2022.

is invertible.

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GATE CE discipline:civil-and-environmental-engineering PYQs

Question 41

Question 41

Question 42

Question 42

Question 43

Question 43

Question 44

Question 44

Question 45

Question 45