Civil Engineering Gate 2020 Set-1 Questions with Answer

Ques 27 GATE 2020 SET-1

An amount of 35.67 mg HCl is added to distilled water and the total solution volume is made to one litre. The atomic weights of H and Cl are 1 and 35.5, respectively. Neglecting the dissociation of water, the pH of the solution, is

Ques 28 GATE 2020 SET-1

The probability that a 50 year flood may NOT occur at all during 25 years life of a project (round off to two decimal places), is _______.

Ques 29 GATE 2020 SET-1

A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale).

Ques 30 GATE 2020 SET-1

In an urban area, a median is provided to separate the opposing streams of traffic. As per IRC:86-1983, the desirable minimum width (in m, expressed as integer) of the median, is _______.

Ques 31 GATE 2020 SET-1

A road in a hilly terrain is to be laid at a gradient of 4.5%. A horizontal curve of radius 100 m is laid at a location on this road. Gradient needs to be eased due to combination of curved horizontal and vertical profiles of the road. As per IRC, the compensated gradient (in %, round off to one decimal place), is _______.

Ques 32 GATE 2020 SET-1

In a drained triaxial compression test, a sample of sand fails at deviator stress of 150 kPa under confining pressure of 50 kPa. The angle of internal friction (in degree, round off to the nearest integer) of the sample, is _______.

Ques 33 GATE 2020 SET-1

A fully submerged infinite sandy slope has an inclination of 30° with the horizontal. The saturated unit weight and effective angle of internal friction of sand are 18 kN/m³ and 38°, respectively. The unit weight of water is 10 kN/m³. Assume that the seepage is parallel to the slope. Against shear failure of the slope, the factor of safety (round off to two decimal places) is _______.

Ques 34 GATE 2020 SET-1

A 4 m wide rectangular channel carries 6 m³/s of water. The Manning’s 'n' of the open channel is 0.02. Considering g = 9.81 m/s², the critical velocity of flow (in m/s, round off to two decimal places) in the channel, is _______.

Ques 35 GATE 2020 SET-1

A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location. For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD5 of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is _______.

Ques 36 GATE 2020 SET-1

For the Ordinary Differential Equation:
d²x/dt² - 5(dx/dt) + 6x = 0
with initial conditions x(0) = 0 and dx/dt(0) = 10, the solution is _______.

Ques 37 GATE 2020 SET-1

A continuous function f(x) is defined. If the third derivative at xi is to be computed by using the fourth order central finite-divided-difference scheme (with step length = h), the correct formula is

Ques 38 GATE 2020 SET-1

Distributed load(s) of 50 kN/m may occupy any position(s) (either continuously or in patches) on the girder PQRST as shown in the figure (not drawn to the scale).

Ques 39 GATE 2020 SET-1

A rigid weightless platform PQRS shown in the figure (not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member OJ and four weightless, frictionless rollers. Points O and J are pin connections. A block of 90 kN rests on the platform as shown in the figure.