GATE CE exam:gate PYQs & Answers — Page 103

Questions 1021–1030 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 103 of 130

Traffic on a highway is moving at a rate of 360 vehicles per hour at a location. If the number of vehicles arriving on this highway follows Poisson distribution, the probability (round off to 2 decimal places) that the headway between successive vehicles lies between 6 and 10 seconds is ________.

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The speed-density relationship of a highway is given as\n\n

\n\nwhere,

= speed in

per hour,

= density in vehicles per

. The maximum flow (in vehicles per hour, round off to the nearest integer) is __________

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A parabolic vertical curve is being designed to join a road of grade +5% with a road of grade −3%. The length of the vertical curve is 400 m measured along the horizontal. The vertical point of curvature (VPC) is located on the road of grade +5%. The difference in height between VPC and vertical point of intersection (VPI) (in m, round off to the nearest integer) is ________.

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A confined aquifer of 15 m constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale).

Diagram for Civil Engineering question 47

The heads indicated by two piezometers P and Q are 55.2 m and 34.1 m, respectively. The aquifer has a hydraulic conductivity of 80 m/day and its effective porosity is 0.25. If the distance between the piezometers is 2500 m, the time taken by the water to travel through the aquifer from piezometer location P to Q (in days, round off to 1 decimal place) is ________

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Tie bars of 12 mm diameter are to be provided in a concrete pavement slab. The working tensile stress of the tie bars is 230 MPa, the average bond strength between a tie bar and concrete is 2 MPa, and the joint gap between the slabs is 10 mm. Ignoring the loss of bond and the tolerance factor, the design length of the tie bars (in mm, round off to the nearest integer) is ________.

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At the foot of a spillway, water flows at a depth of 23 cm with a velocity of 8.1 m/s, as shown in the figure.

Diagram for Civil Engineering question 48

The flow enters as an M-3 profile in the long wide rectangular channel with bed slope =

and Manning’s

. A hydraulic jump is formed at a certain distance from the foot of the spillway. Assume the acceleration due to gravity,

. Just before the hydraulic jump, the depth of flow

(in m, round off to 2 decimal places) is ________

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The hyetograph of a storm event of duration 140 minutes is shown in the figure.

Diagram for Civil Engineering question 49

The infiltration capacity at the start of this event (

) is 17

, which linearly decreases to 10

after 40 minutes duration. As the event progresses, the infiltration rate further drops down linearly to attain a value of 4

minutes and remains constant thereafter till the end of the storm event. The value of the infiltration index,

(in

, round off to 2 decimal places), is ________.

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Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and discharge freely into the atmosphere. In the second case, they are attached in parallel and also discharge freely into the atmosphere. Neglecting all minor losses, and assuming that the friction factor is same in both the cases, the ratio of the discharge in the parallel arrangement to that in the series arrangement (round off to 2 decimal places) is ________

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Two water reservoirs are connected by a siphon (running full) of total length 5000

and diameter of 0.10

, as shown below (figure not drawn to scale).

Diagram for Civil Engineering question 50

The inlet leg length of the siphon to its summit is 2000

. The difference in the water surface levels of the two reservoirs is 5

. Assume the permissible minimum absolute pressure at the summit of siphon to be 2.5

of water when running full. Given: friction factor

throughout, atmospheric pressure = 10.3

of water, and acceleration due to gravity

. Considering only major loss using Darcy-Weisbach equation, the maximum height of the summit of siphon from the water level of upper reservoir,

(in

, round off to 1 decimal place) is ________.

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The ordinates,

, of a 2-hour unit hydrograph (i.e., for 1 cm of effective rain), for a catchment are shown in the table.

(hour)	0	1	2	3	4	5	6	7	8	9	10	11	12
( )	0	2	8	18	32	45	30	19	12	7	3	1	0

A 6-hour storm occurs over the catchment such that the effective rainfall intensity is 1 cm/hour for the first two hours, zero for the next two hours, and 0.5 cm/hour for the last two hours. If the base flow is constant at 5

, the peak flow due to this storm (in

, round off to 1 decimal place) will be ________

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GATE CE exam:gate PYQs

Question 46

Question 46

Question 47

Question 47

Question 48

Question 48

Question 49

Question 49

Question 50

Question 50