GATE CE 2020 PYQ

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 _______.

A triangular direct runoff hydrograph due to a storm has a time base of 90 hours. The peak flow of 60 occurs at 20 hours from the start of the storm. The area of catchment is 300 . The rainfall excess

Muskingum method is used in

In a homogeneous unconfined aquifer of area 3.00 , the water table was at an elevation of 102.00 m. After a natural recharge of volume 0.90 million cubic meter ( ), the water table rose to 103.20 m. A

Superpassage is a canal cross-drainage structure in which

A water supply scheme transports 10 MLD (Million Litres per Day) water through a 450 mm diameter pipeline for a distance of 2.5 km. A chlorine dose of 3.50 mg/litre is applied at the starting point of

A gas contains two types of suspended particle having average sizes of 2 and 50 . Amongst the options given below, the most suitable pollution control strategy for removal of these particles is

A gaseous chemical has a concentration of 41.6 in air at 1 atm pressure and temperature 293 K. The universal gas constant R is . Assuming that ideal gas law is valid, the concentration of the gaseous

During chlorination process, aqueous (aq) chlorine reacts rapidly with water to from , and as shown below The most active disinfectant in the chlorination process from amongst the following, is

A stream with a flow rate of 5 is having an ultimate BOD of 30 mg/litre. A wastewater discharge of 0.20 having BOD5 of 500 mg/litre joins the stream at a location and instantaneously gets mixed up com

A sample of water contain an organic compound at a concentration of mol/litre. Given that the atomic weight of C = 12 g/mol, H = 1 g/mol, and O = 16 g/mol, the theoretical oxygen demand of water (in g

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

A river has a flow of 1000 million litres per day (MLD), of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location. For the existing environme

The relationship between oxygen consumption and equivalent biodegradable organic removal (i.e. BOD) in a closed container with respect to time is shown in the figure. Assume that the rate of oxygen co

The ion product of water ( ) is 14. If a rain water sample has a pH of 5.6, the concentration of in the sample (in mol/litre, round off to one decimal place), is ________

Surface Overflow Rate (SOR) of a primary settling tank (discrete settling) is 20000 litre/ per day. Kinematic viscosity of water in the tank is . Specific gravity of the settling particles is 2.64. Ac

A waste to energy plant burns dry solid waste of composition : Carbon = 35%, Oxygen = 26%, Hydrogen = 10%, Sulphur = 6%, Nitrogen = 3% and Inerts = 20%. Burning rate is 1000 tonnes/d. Oxygen in air by

Alkalinity of water, in equivalent/litre (eq/litre), is given by where, { } represents concentration in mol/litre. For a water sample, the concentration of mol/litre, mol/litre and the pH of water = 9

A cast iron pipe of diameter 600 mm and length 400 m carries water from a tank and discharges freely into air at a point 4.5 m below the water surface in the tank. The friction factor of the pipe is 0

A body floating in a liquid is in a stable state of equilibrium if its

Three reservoir P, Q and R are interconnected by pipes as shown in the figure (not drawn to the scale). Piezometric head at the junction S of the pipes is 100 m. Assume acceleration due to gravity as

Two identically sized primary settling tanks receive water for Type-I settling (discrete particles in dilute suspension) under laminar flow conditions. The surface overflow rate (SOR) maintained in th

The velocity components in the x and y directions for an incompressible flow are given as u=(-5+6x) and v=-(9+6y), respectively. The equation of the streamline is

Water flows at the rate of 12 in a 6 m wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is 30 cm (just before the jump). Considering acceleration

A circular water tank of 2 m diameter has a circular orifice of diameter 0.1 m at the bottom. Water enters the tank steadily at a flow rate of 20 litre/s and escapes through the orifice. The coefficie

Velocity of flow is proportional to the first power of hydraulic gradient in Darcy's law. The law is applicable to

Uniform flow with velocity U makes an angle with the y-axis, as shown in the figure The velocity potential ( ), is

Velocity distribution in a boundary layer is given by , where is the velocity at vertical coordinate is the free stream velocity and is the boundary layer thickness. The values of and are 0.3 m/s and

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

A hydraulic jump occurs, in a triangular (V-shaped) channel with side slopes 1:1 (vertical to horizontal). The sequent depths are 0.5 m and 1.5 m. The flow rate (in , round off to two decimal places)

The length and bearings of a traverse PQRS are: The length of line segment SP (in m, round off to two decimal places), is ________.

The diameter and height of a right circular cylinder are 3 cm and 4 cm, respectively. The absolute error in each of these two measurements is 0.2 cm. The absolute error in the computed volume (in , ro

An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the table If the independent coordinates (Northing, Easting) of station P are (400 m, 200 m) t

A theodolite was set up at a station P. The angle of depression to a vane 2 m above the foot of a staff held at another station Q was . The horizontal distance between stations P and Q is 20 m. The st

A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is . The horizontal distance between sta

In a drained tri-axial 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 in

In a soil investigation work at a site, Standard Penetration Test (SPT) was conducted at every 1.5 m interval up to 30 m depth. At 3 m depth, the observed number of hammer blows for three successive 1

Permeability tests were carried out on the samples collected from two different layers as shown in the figure (not drawn to the scale). The relevant horizontal ( ) and vertical ( ) coefficients of per

The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 at the ground level. The water table is at a

A 5 m high vertical wall has a saturated clay backfill. The saturation unit weight and cohesion of clay are and 20 kPa, respectively. The angle of internal friction of clay is zero. In order to preven

A constant head permeability test was conducted on a soil specimen under a hydraulic gradient of 2.5. The soil specimen has specific gravity of 2.65 and saturated water content of 20%. If the coeffici

A 10 m high slope of dry clay soil (unit weight = 20 ), with a slope angle of and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by

Soil deposit formed due to transportation by wind is termed as

Which one of the following statements is NOT correct?

A footing of size 2m x 2m transferring a pressure of 200 , is placed at a depth of 1.5 m below the ground as shown in the figure (not drawn to the scale). The clay stratum is normally consolidated. Th

A one-dimensional consolidation test is carried out on a standard 19 mm thick clay sample. The oedometer's deflection gauge indicates a reading of 2.1 mm, just before removal of the load, without allo

A sample of 500 g dry sand, when poured into a 2 litre capacity cylinder which is partially filled with water, displaces 188 of water. The density of water is 1 . The specific gravity of the sand is

A vertical retaining wall of 5 m height has to support soil having unit weight of 18 , effective cohesion of 12 , and effective friction angle of . As per Rankine's earth pressure theory and assuming

A soil has dry weight of 15.5 , specific gravity of 2.65 and degree of saturation of 72%. Considering the unit weight of water as 10 , the water content of the soil (in %, round off to two decimal pla

Water flows in the upward direction in a tank through 2.5 m thick sand layer as shown in the figure. The void ratio and specific gravity of sand are 0.58 and 2.7, respectively. The sand is fully satur

A 10 m thick clay layer is resting over a 3 m thick sand layer and is submerged. A fill of 2 m thick sand with unit weight of 20 is placed above the clay layer to accelerate the rate of consolidation

A fully submerged infinite sandy slope has an inclination of with the horizontal. The saturated unit weight and effective angle of internal friction of sand are 18 and , respectively. The unit weight

A concrete dam holds 10 m of static water as shown in the figure (not drawn to the scale). The uplift assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of dam. The co

Crops are grown in a field having soil, which has field capacity of 30% and permanent wilting point of 13%. The effective depth of root zone is 80 cm. Irrigation water is supplied when the average soi

The data for an agricultural field for a specific month are given below: Pan Evaporation = 100 mm Effective Rainfall = 20 mm (after deducting losses due to runoff and deep percolation) Crop Coefficien

The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of M25 grade concrete and Fe500 grade reinforcing steel. The total crosssectional area of the tension s

The maximum applied load on a cylindrical concrete specimen of diameter 150 mm and length 300 mm tested as per the split tensile strength test guidelines of IS 5816 : 1999 is 157 kN. The split tensile

A reinforcing steel bar, partially embedded in concrete, is subjected to a tensile force P. The figure that appropriately represents the distribution of the magnitude of bond stress (represented as ha

The cross-section of the reinforced concrete beam having an effective depth of 500 mm is shown in the figure (not drawn to the scale). The grades of concrete and steel used are M35 and Fe550, respecti

A concrete beam of span 15 m, 150 mm wide and 350 mm deep is prestressed with a parabolic cable as shown in the figure (not drawn to the scale). Coefficient of friction for the cable is 0.35, and coef

A simply supported prismatic concrete beam of rectangular cross-section, having a span of 8 m, is prestressed with an effective prestressing force of 600 kN. The eccentricity of the prestressing tendo

During the process of hydration of cement, due to increase in Dicalcium Silicate ( ) content in cement clinker, the heat of hydration

As per IS 456:2000, the pH value of water for concrete mix shall NOT be less than

The state of stress represented by Mohr's circle shown in the figure is

Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and IJ are connected through a pin at N. Continuous members JM and KQ are connected

The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below: The correct match between the stress p

In a two-dimensional stress analysis, the state of stress at a point P is The necessary and sufficient condition for existence of the state of pure shear at the point P, is

A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross-section is rectangular with constant width

A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure. All three members have identical axial stiffness of 10 kN/mm. The lower ends of b

A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at R as shown in the figure. The deflection at the free end Q is

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 weightle

The ratio of the plastic moment capacity of a beam section to its yield moment capacity is termed as

Two steel plates are lap jointed in a workshop using 6 mm thick fillet weld as shown in the figure (not drawn to the scale). The ultimate strength of the weld is 410 MPa. As per Limit State Design is

The flange and web plates of the doubly symmetric built-up section are connected by continuous 10 mm thick fillet welds as shown in the figure (not drawn to the scale). The moment of inertia of the se

A planar elastic structure is subjected to uniformly distributed load, as shown in the figure Neglecting self-weight, the maximum bending moment generated in the structure (in kNm, round off to the ne

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 The maximum negative (hogging) bending moment (in kNm) that occ

A prismatic linearly elastic bar of length, L, cross-sectional area A, and made up of a material with Young's modulus E, is subjected to axial tensile force as shown in the figures. When the bar is su

Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self-weight of the members, the number of zero-force members in the truss under the action of the load P, is

The planar structure RST shown in the figure is roller-supported at S and pin-supported at R. Members RS and ST have uniform flexural rigidity (EI) and S is a rigid joint. Consider only bending deform

The plane truss has hinge supports at P and W and is subjected to the horizontal forces as shown in the figure. Representing the tensile force with '+' sign and the compressive force with '-' sign, th

For the hottest month of the year at the proposed airport site, the monthly mean of the average daily temperature is 39 . The monthly mean of the maximum daily temperature is 48 for the same month of

The appropriate design length of a clearway is calculated on the basis of 'Normal Takeoff' condition. Which one of the following options correctly depicts the length of the clearway?

Group-I gives a list of test methods for evaluating properties of aggregates. Group-II gives the list of properties to be evaluated. The correct match of test methods under Group-I to properties under

The flow-density relationship of traffic on a headway is shown in the figure. The correct representation of speed-density relationship of the traffic on this highway is

The design speed of a two-lane two-way road is 60 km/h and the longitudinal coefficient of friction is 0.36. The reaction time of a driver is 2.5 seconds. Consider acceleration due to gravity as 9.8 .

For an axle load of 15 tonne on a road, the Vehicle Damage Factor (round off to two decimal places), in terms of the standard axle load of 8 tonne, is _________.

Traffic volume count has been collected on a 2 lane road section which needs upgradation due to severe traffic flow condition. Maximum service flow rate per lane is observed as 1280 veh/h at level of

24-h traffic count at a road section was observed to be 1000 vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is 1.121 and monthly adjustment factor for July is 0.913

The relationship between traffic flow rate (q) and density (D) is shown in the figure. The shock wave condition is depicted by

The traffic starts discharging from an approach at an intersection with the signal turning green. The constant headway considered from the fourth or fifth headway position is referred to as

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 __________.

A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the correct placement of dowel bar a

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

The Los Angeles test for stone aggregates is used to examine