Civil Engineering Gate 2021 Set-2 Questions with Answer

Ques 27 GATE 2021 SET-2


The softening point of bitumen has the same unit as that of

A

distance

B

temperature

C

time

D

viscosity


(b) is the correct answer.

Ques 28 GATE 2021 SET-2


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

A

Increased levels of carbon monoxide in the indoor environment result in the formation of carboxyhemoglobin and the long term exposure becomes a cause of cardiovascular diseases.

B

Volatile organic compounds act as one of the precursors to the formation of photochemical smog in the presence of sunlight.

C

Long term exposure to the increased level of photochemical smog becomes a cause of chest constriction and irritation of the mucous membrane.

D

Increased levels of volatile organic compounds in the indoor environment will result in the formation of photochemical smog which is a cause of cardiovascular diseases.


(a; b; c) is the correct answer.

Ques 29 GATE 2021 SET-2


The value (round off to one decimal place) of ∫-1 1 x e|x| dx is _______.


(0.0 to 0.0) is the correct answer.

Ques 30 GATE 2021 SET-2


A solid circular torsional member OPQ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent material is 160 MPa.

The absolute maximum shear stress in the member (in MPa, round off to one decimal place) is _______.


(14 to 16) is the correct answer.

Ques 31 GATE 2021 SET-2


A propped cantilever beam XY, with an internal hinge at the middle, is carrying a uniformly distributed load of 10 kN/m, as shown in the figure.

The vertical reaction at support X (in kN, in integer) is _______


(30 to 30) is the correct answer.

Ques 32 GATE 2021 SET-2


A rectangular open channel of 6 m width is carrying a discharge of 20 m3/s. Consider the acceleration due to gravity as 9.81 m/s2 and assume water as incompressible and inviscid. The depth of flow in the channel at which the specific energy of the flowing water is minimum for the given discharge will then be

A

0.82 m

B

1.04 m

C

2.56 m

D

3.18 m


(b) is the correct answer.

Ques 33 GATE 2021 SET-2


Read the statements given below.
(i) Value of the wind profile exponent for the 'very unstable' atmosphere is smaller than the wind profile exponent for the 'neutral' atmosphere.
(ii) Downwind concentration of air pollutants due to an elevated point source will be inversely proportional to the wind speed.
(iii) Value of the wind profile exponent for the 'neutral' atmosphere is smaller than the wind profile exponent for the 'very unstable' atmosphere.
(iv) Downwind concentration of air pollutants due to an elevated point source will be directly proportional to the wind speed.
Select the correct option.

A

(i) is False and (iii) is True

B

(i) is True and (iv) is True

C

(ii) is False and (iii) is False

D

(iii) is False and (iv) is False


(d) is the correct answer.

Ques 34 GATE 2021 SET-2


A water filtration unit is made of uniform-size sand particles of 0.4 mm diameter with a shape factor of 0.84 and specific gravity of 2.55. The depth of the filter bed is 0.70 m and the porosity is 0.35. The filter bed is to be expanded to a porosity of 0.65 by hydraulic backwash. If the terminal settling velocity of sand particles during backwash is 4.5 cm/s, the required backwash velocity is

A

5.79 × 10-3 m/s

B

6.35 × 10-3 m/s

C

0.69 cm/s

D

0.75 cm/s


(b) is the correct answer.

Ques 35 GATE 2021 SET-2


For a given traverse, latitudes and departures are calculated and it is found that sum of latitudes is equal to +2.1 m and the sum of departures is equal to -2.8 m. The length and bearing of the closing error, respectively, are

A

3.50 m and 53°7'48''NW

B

2.45 m and 53°7'48''NW

C

0.35 m and 53.13°SE

D

3.50 m and 53.13°SE


(a) is the correct answer.

Ques 36 GATE 2021 SET-2


From laboratory investigations, the liquid limit, plastic limit, natural moisture content and flow index of a soil specimen are obtained as 60%, 27%, 32% and 27, respectively. The corresponding toughness index and liquidity index of the soil specimen, respectively, are

A

0.15 and 1.22

B

0.19 and 6.60

C

1.22 and 0.15

D

6.60 and 0.19


(c) is the correct answer.

Ques 37 GATE 2021 SET-2


A function is defined in Cartesian coordinate system as f(x, y) = xey. The value of the directional derivative of the function (in integer) at the point (2, 0) along the direction of the straight line segment from point (2, 0) to point (1/2, 2) is _______.


(1 to 1) is the correct answer.

Ques 38 GATE 2021 SET-2


An elevated cylindrical water storage tank is shown in the figure. The tank has an inner diameter of 1.5 m. It is supported on a solid steel circular column of diameter 75 mm and total height (L) of 4 m. Take, water density = 1000 kg/m3 and acceleration due to gravity = 10 m/s2. If the elastic modulus (E) of steel is 200 GPa, ignoring self-weight of the tank, for the supporting steel column to remain unbuckled, the maximum depth (h) of the water permissible (in m, round off to one decimal place) is _______.


(2.5 to 2.9) is the correct answer.

Ques 39 GATE 2021 SET-2


A prismatic fixed-fixed beam, modelled with a total lumped-mass of 10 kg as a single degree of freedom (SDOF) system is shown in the figure.

If the flexural stiffness of the beam is 4π2 kN/m, its natural frequency of vibration (in Hz, in integer) in the flexural mode will be _______.


(10 to 10) is the correct answer.

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