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Fluid Mechanics

12 Questions
GATE→2026→Soil and Water Conservation Engineering→Fluid Mechanics
Q1
MCQ[1 Mark]
A trapezoidal channel carries 5 m3.s−1 of water under uniform flow condition. The channel has a bottom width of 2 m, side slope of 2:1 (horizontal: vertical), and a bed slope of 1%. If the Manning roughness coefficient is 0.03, the conveyance of the channel, in m3.s−1, is (A) 2 (B) 5 (C) 15 (D) 50
GATE→2026→Soil and Water Conservation Engineering→Fluid Mechanics
Q2
NAT[2 Marks]
Two rectangular channels, A and B, join to form a large rectangular channel, C. Each rectangular channel is lined with the same material and has the same bottom slope. The bottom widths of Channels A and B are 2 m and 1 m, respectively. If the flow depth in each channel is 2 m, the bottom width of Channel C (in m) is ________. (Rounded off to two decimal places)
GATE→2025→Soil and Water Conservation Engineering→Fluid Mechanics
Q3
NAT[2 Marks]
Water flows through a 90∘90^{\circ} V-notch weir having a discharge coefficient of 0.6. If the depth of water above the notch is 49 cm and the acceleration due to gravity is 9.81 m⋅s−29.81\text{ m}\cdot\text{s}^{-2}, the discharge over the notch is ___ m3⋅s−1\text{m}^{3}\cdot\text{s}^{-1}. (Rounded off to 2 decimal places)
GATE→2024→Soil and Water Conservation Engineering→Fluid Mechanics
Q4
NAT[2 Marks]
A flow rate of 2 m3⋅s−12\text{ m}^{3}\cdot\text{s}^{-1} is to be carried out in an open channel at a velocity of 1 m⋅s−11\text{ m}\cdot\text{s}^{-1}. The cross section of the channel is rectangular with depth equal to one-half of the width. Considering Manning's roughness coefficient (n) as 0.02, the slope of the channel, in %, is ___ (Rounded off to 2 decimal places)
GATE→2023→Soil and Water Conservation Engineering→Fluid Mechanics
Q5
NAT[1 Mark]
A trapezoidal grassed waterway with side slope (H:V) of 1:1 carries a design discharge of 1 m3s−11\text{ m}^{3}\text{s}^{-1}. The bed slope and Manning's roughness coefficient of this channel are 1% and 0.04, respectively. The design depth of the best hydraulic trapezoidal grassed waterway section in m is ___ (rounded off to 2 decimal places).
GATE→2023→Soil and Water Conservation Engineering→Fluid Mechanics
Q6
NAT[2 Marks]
Two cylindrical reservoirs 'A' and 'B' are connected by a 30 m long pipe of 250 mm internal diameter as shown in Figure below. The Darcy-Weisbach friction factor for the pipe is 0.025. Initially the reservoir 'A' was full at the indicated level and reservoir 'B' was empty. If the entrance and exit losses in this pipe are neglected, the time required to empty the reservoir 'A' in hour is ___ (rounded off to 3 decimal places). Consider π=3.14\pi=3.14 and acceleration due to gravity, g=9.81 m s−2g=9.81\text{ m }\text{s}^{-2}. [Figure: Reservoir A dia 8m, level 14m; Reservoir B dia 10m, level 6.6m]
Figure for Question 6
GATE→2023→Soil and Water Conservation Engineering→Fluid Mechanics
Q7
NAT[2 Marks]
A 10 m long concrete pipe is required to carry a peak discharge of 1.0 m3s−11.0\text{ m}^{3}\text{s}^{-1} in a drop inlet spillway with a head of 4 m. The entrance loss coefficient is 0.5 and the friction loss coefficient is 0.02. Consider acceleration due to gravity =9.81 m s−2=9.81\text{ m }\text{s}^{-2}. The neutral slope of the water level in per cent is ___ (rounded off to 2 decimal places).
GATE→2022→Soil and Water Conservation Engineering→Fluid Mechanics
Q8
MCQ[1 Mark]
The ratio of inertial forces to viscous forces is knows as
GATE→2022→Soil and Water Conservation Engineering→Fluid Mechanics
Q9
NAT[1 Mark]
The flow rate per unit width of a wide rectangular clean-earth channel is 20 m3s−1m−1\text{m}^{3}\text{s}^{-1}\text{m}^{-1} The calculated critical flow depth in meter will be [round off to two decimal places] (Take g=9.81 ms−2g=9.81\text{ ms}^{-2})
GATE→2022→Soil and Water Conservation Engineering→Fluid Mechanics
Q10
MCQ[2 Marks]
A parabolic shaped grass-waterway is to be designed to carry a flow of 2.85 m3s−12.85\text{ m}^{3}\text{s}^{-1} down the slope of 3%. The permissible velocity of water in the waterway is 1.78 m s−11.78\text{ m }\text{s}^{-1}. If the freeboard depth is excluded, the most appropriate top width in m and depth in m, respectively are (Take Manning's roughness coefficient =0.04=0.04)
GATE→2022→Soil and Water Conservation Engineering→Fluid Mechanics
Q11
MCQ[2 Marks]
The pressure drop through a well-designed constriction is to be used for measuring the velocity of flow through a circular pipe. If the pressure drop from a 0.1 m diameter section to a 0.05 m diameter section of the pipe is 7.5 kPa, the velocity in m s−1\text{m }\text{s}^{-1} in the 0.1 m diameter section of the pipe is (Take density of liquid =1000 kg m−3=1000\text{ kg }\text{m}^{-3})
GATE→2022→Soil and Water Conservation Engineering→Fluid Mechanics
Q12
NAT[2 Marks]
A trapezoidal weir has a side slope of 1 horizontal unit to 4 vertical units. The length of the weir is less than the width of the channel. If the head over the weir is 70 cm and the discharge is 0.85 m3s−1.0.85\text{ m}^{3}\text{s}^{-1}. the length of the weir in m is [round off to two decimal places] (Take coefficient of discharge =0.62=0.62 and g=9.81 m s−2g=9.81\text{ m s}^{-2})

Soil Mechanics

6 Questions
GATE→2026→Soil and Water Conservation Engineering→Soil Mechanics
Q13
NAT[2 Marks]
An undisturbed soil sample is collected from a field with core cylinder having an internal diameter of 60 mm and length of 100 mm. The weights of moist soil and oven dried soil are 0.48 kg and 0.44 kg, respectively. Assuming density of water as 1000 kg.m−3, the water depth (in metres per metre depth of soil) is ________ (Rounded off to two decimal places)
GATE→2025→Soil and Water Conservation Engineering→Soil Mechanics
Q14
NAT[2 Marks]
The volume and voids ratio of an undisturbed soil sample are 100 cm3100\text{ cm}^{3} and 0.60, respectively. After oven drying, the mass of this sample is reduced from 185 g to 165 g without any shrinkage in the volume. If the specific gravity of this sample is 2.64, the degree of saturation of this soil is ___ %. (Rounded off to 2 decimal places)
GATE→2024→Soil and Water Conservation Engineering→Soil Mechanics
Q15
NAT[2 Marks]
A soil sample of diameter 70 mm was used for constant head permeability test. The observed head loss was 80 mm in the soil sample length of 100 mm and water collected in one minute was 60 mL. The coefficient of permeability, in mm⋅s−1\text{mm}\cdot\text{s}^{-1}, is ___ (Rounded off to 2 decimal places)
GATE→2023→Soil and Water Conservation Engineering→Soil Mechanics
Q16
MCQ[1 Mark]
The statement which is not correct for the porous medium is
GATE→2023→Soil and Water Conservation Engineering→Soil Mechanics
Q17
NAT[2 Marks]
A homogenous anisotropic earthen dam of height 52 m with a free board of 2 m is constructed on an impermeable foundation. The horizontal and vertical hydraulic conductivities of soil used for the construction of the dam are 4.5×10−8 m s−14.5\times10^{-8}\text{ m }\text{s}^{-1} and 2.0×10−8 m s−12.0\times10^{-8}\text{ m }\text{s}^{-1}, respectively. There are 6 flow channels and 25 equipotential drops in a square flownet drawn in the transformed dam section. If the downstream dam side is dry, the quantity of seepage per unit length through the dam in m3day−1m−1\text{m}^{3}\text{day}^{-1}\text{m}^{-1} is ___ (rounded off to 3 decimal places).
GATE→2022→Soil and Water Conservation Engineering→Soil Mechanics
Q18
MCQ[2 Marks]
A sample of 90% saturated clay soil has void ratio and specific gravity of 0.8 and 2.7, respectively. The bulk unit weight of soil in N m−3\text{m}^{-3} is (Take unit weight of water =9.81×103 N m−3=9.81\times10^{3}\text{ N }\text{m}^{-3})

Hydrology

17 Questions
GATE→2026→Soil and Water Conservation Engineering→Hydrology
Q19
MCQ[1 Mark]
By depth-area-duration analysis, the maximum average depth of rainfall over a 103 km2 catchment due to a 6-hour storm is 80 mm. For the same storm, the maximum average depth of rainfall for a 104 km2 catchment, in mm, is (A) greater than 88 (B) lesser than 80 (C) equal to 80 (D) between 81 and 88
GATE→2026→Soil and Water Conservation Engineering→Hydrology
Q20
NAT[2 Marks]
A 0.80 km2 agricultural watershed has a slope of 0.30% and the maximum length of travel of water is 1 km. The 10-year maximum depth of rainfall is tabulated below: Duration (minutes) 5 10 20 30 40 60 Maximum depth of 16 24 39 50 60 65 rainfall (mm) Half of the watershed has row crops (runoff coefficient = 0.40), whilst the other half of the watershed has pasture (runoff coefficient = 0.35). The peak flow rate for the watershed (in m3.s−1) for the 10-year return period is ________. (Rounded off to two decimal places)
GATE→2026→Soil and Water Conservation Engineering→Hydrology
Q21
NAT[2 Marks]
Two catchments M and N are meteorologically similar. The basin length (L), length to the centroid (L ), and the drainage area (A) of catchment M are 36 km, 18 km, ca and 250 km2, respectively. The L, L and A for catchment N are 50 km, 30 km, and ca 400 km2, respectively. For 6-h unit hydrograph in catchment M, the peak discharge of 50 m3.s−1 occurs at 12 h from the beginning of the rainfall excess. Using Snyder’s method, the peak of the 6-h unit hydrograph for catchment N (in m3.s−1) is ________. (Rounded off to two decimal places)
GATE→2025→Soil and Water Conservation Engineering→Hydrology
Q22
MSQ[1 Mark]
Match the terms in Column I with the suitable hydrometeorological variables in Column II. Column I: P: Isopleth, Q: Isobath, R: Isohyet, S: Isochrone, T: Isobar Column II: 1: Rainfall, 2: Pressure, 3: Evapotranspiration, 4: Groundwater, 5: Surface runoff
GATE→2025→Soil and Water Conservation Engineering→Hydrology
Q23
NAT[2 Marks]
A 10 ha watershed experiences a rainfall of 15 mm, evapotranspiration of 5 mm, infiltration of 4.5 mm, deep percolation of 2.2 mm, detention storage of 0.5 mm, and other abstraction losses of 0.3 mm during the storm event. Neglecting other surface storages, the total overland flow generated from the watershed due to this storm event is ___ m3\text{m}^{3}. (Answer in integer)
GATE→2025→Soil and Water Conservation Engineering→Hydrology
Q24
NAT[2 Marks]
An 8 ha watershed receives rainfall intensities of 2.5, 3.6, 5.4, 3.3, 2.6 and 1.2 cm⋅h−11.2\text{ cm}\cdot\text{h}^{-1} at the successive interval of 30 minutes. The corresponding surface runoff volume is estimated to be 4800 m34800\text{ m}^{3}. Neglecting initial abstraction losses, the W-index for this watershed is ___ cm⋅h−1\text{cm}\cdot\text{h}^{-1}. (Rounded off to 2 decimal places)
GATE→2024→Soil and Water Conservation Engineering→Hydrology
Q25
MCQ[1 Mark]
Match the following instruments (in Column I) with corresponding measurements (in Column II). Column I: P. Current meter, Q. Anemometer, R. Hygrometer, S. Symon's gauge, T. Pyranometer Column II: 1. Solar radiation, 2. Rainfall, 3. Stream flow velocity, 4. Humidity, 5. Wind speed
GATE→2024→Soil and Water Conservation Engineering→Hydrology
Q26
MCQ[2 Marks]
A 10 ha watershed received a 4-hour rainfall storm with rainfall intensity of 2, 1, 1.5, and 1 cm⋅h−11\text{ cm}\cdot\text{h}^{-1} in each subsequent hour, respectively. Assuming phi-index (ϕ\phi) of 1 cm⋅h−11\text{ cm}\cdot\text{h}^{-1}, the volume of direct runoff, in m3\text{m}^{3}, is (Rounded off to 2 decimal places)
GATE→2024→Soil and Water Conservation Engineering→Hydrology
Q27
NAT[2 Marks]
A catchment with 5 rain gauge stations recorded annual rainfall of 90, 100, 80, 120, and 110 cm, respectively. Considering 5% error in estimation of the mean annual rainfall, additional number of rain gauge stations required is ___ (Answer in integer)
GATE→2023→Soil and Water Conservation Engineering→Hydrology
Q28
MCQ[1 Mark]
The information needed for estimating the design flood using Rational formula is
GATE→2023→Soil and Water Conservation Engineering→Hydrology
Q29
NAT[1 Mark]
The probability that a storm event with a return period of 20 years will occur once in 5-year period is ___ (rounded off to 2 decimal places).
GATE→2023→Soil and Water Conservation Engineering→Hydrology
Q30
MCQ[2 Marks]
The ordinates of a 6-hour S-hydrograph of a catchment are given in Table below. The catchment has phi-index of 0.25 cmh−10.25\text{ cm}\text{h}^{-1} and baseflow of 10.5 m3s−110.5\text{ m}^{3}\text{s}^{-1}. The peak of the flood hydrograph generated from this catchment due to a storm of 45 mm received during the first 6 h in m3s−1\text{m}^{3}\text{s}^{-1} is [Table: Time (h) vs Ordinates]
GATE→2023→Soil and Water Conservation Engineering→Hydrology
Q31
MCQ[2 Marks]
The infiltration capacity of a basin is described by the Horton's equation, I=2+e−3tI=2+e^{-3t}, where I is in cm h−1\text{h}^{-1} and the duration, t is in hours. If the duration of the storm event is 2 hours, the depth of the infiltration in the last 1 hour of the storm event in mm is
GATE→2023→Soil and Water Conservation Engineering→Hydrology
Q32
NAT[2 Marks]
In a locality 'A', the probability of a convective storm event is 0.7 with a density function, fX1(x1)=e−x1f_{X_{1}}(x_{1})=e^{-x_{1}}, x1>0x_{1}>0 The probability of tropical cyclone-induced storm in the same location is given by the density function fX2(x2)=2e−2x2f_{X_{2}}(x_{2})=2e^{-2x_{2}} x2>0x_{2}>0 The probability of occurring more than 1 unit of storm event is ___ (rounded off to 2 decimal places).
GATE→2022→Soil and Water Conservation Engineering→Hydrology
Q33
MCQ[1 Mark]
The shape of falling limb of a hydrograph is dependent on
GATE→2022→Soil and Water Conservation Engineering→Hydrology
Q34
NAT[2 Marks]
A watershed with various land uses (as specified in the table below) receives a rainfall of 152.4 mm. If an initial abstraction (Ia)(I_{a}) is 0.2 times the potential maximum retention (S), and the antecedent moisture content (AMC) of averaged condition is assumed, the depth of runoff volume in mm is [round off to two decimal places] [Table: Residential 40% C 83, Open space 25% D 80, Commercial 20% C 94, Industrial 15% D 93]
GATE→2022→Soil and Water Conservation Engineering→Hydrology
Q35
NAT[2 Marks]
The ordinates of an inflow hydrograph are provided in the table below. If the routing interval (Δt)(\Delta t) is one hour, weighting factor in Muskingham equation (X) is 0.2, and the storage-time constant (time of travel of flood wave through the channel reach) (K) is 0.7 hour, using the Muskingham method of flood routing, the ordinate of the outflow (routed) hydrograph for 2nd2^{nd} hour in m3s−1\text{m}^{3}\text{s}^{-1} is [round off to two decimal places]

Surveying and Leveling

5 Questions
GATE→2025→Soil and Water Conservation Engineering→Surveying and Leveling
Q36
MCQ[1 Mark]
Which of the following method is used for the geophysical exploration of groundwater:
GATE→2025→Soil and Water Conservation Engineering→Surveying and Leveling
Q37
MCQ[1 Mark]
Identify the correct statement related to tape correction in chain surveying:
GATE→2024→Soil and Water Conservation Engineering→Surveying and Leveling
Q38
MCQ[2 Marks]
A surveyor started a longitudinal section leveling survey by taking starting bench mark of elevation 53.85 m. During the survey, he takes an observation of intermediate sight of 2.42 m with the staff held on another bench mark of 85.45 m. The sum of the back sights from the start to the point is 50.28 m and that of fore sight is 16.30 m. If the surveyor ends the survey operation on the second bench mark, the error of closure on the second bench mark, in m, is (Rounded off to 2 decimal places)
GATE→2023→Soil and Water Conservation Engineering→Surveying and Leveling
Q39
MCQ[1 Mark]
If the departure and latitude of a line are 70 m and 130 m, respectively, then the whole circle bearing of the line in degrees is
GATE→2022→Soil and Water Conservation Engineering→Surveying and Leveling
Q40
NAT[1 Mark]
The area of a rectangular field was measured using a 30 m survey chain, which was later found to be 5 cm short. If the length and width of the field measured using this chain were 542 m and 554 m, respectively, the true area of the field in ha [round off to two decimal places] is

Soil and Water Erosion

12 Questions
GATE→2026→Soil and Water Conservation Engineering→Soil and Water Erosion
Q41
MCQ[1 Mark]
In wind erosion, the amount of soil transported varies (A) directly as the cube of the threshold wind velocity and inversely as the square of the mean soil particle diameter (B) directly as the cube of the actual wind velocity and inversely as the square of the mean soil particle diameter (C) directly as the cube of the difference in actual and threshold wind velocity and the square of the mean soil particle diameter (D) directly as the cube of the difference in actual and threshold wind velocity and the square root of the mean soil particle diameter
GATE→2026→Soil and Water Conservation Engineering→Soil and Water Erosion
Q42
MCQ[1 Mark]
When the bed slope of the discharge carrier in a chute spillway changes from steeper to milder, we provide a (A) concave vertical curve (B) convex vertical curve (C) reverse curve (D) converging transition
GATE→2026→Soil and Water Conservation Engineering→Soil and Water Erosion
Q43
MCQ[1 Mark]
A natural colloidal clay, having the characteristics of absorbing water and swelling 8 to 15 times its dry size, used as an efficient and effective sealing material for farm ponds, is (A) EPDM (Ethylene Propylene Diene Monomer) (B) Butyl (C) Bentonite (D) Soil cement
GATE→2026→Soil and Water Conservation Engineering→Soil and Water Erosion
Q44
NAT[2 Marks]
A homogeneous earthen embankment has an upstream water level of 12 m. The top width of the embankment is 3 m, and its upstream and downstream slopes (horizontal: vertical) are 2:1 and 2.5:1, respectively. A freeboard of 2 m is provided. The coefficient of permeability of the fill material is 2.5 ×10−5 m.s−1. If a 20 m long horizontal filter is placed inward from the downstream toe, the seepage discharge per unit length of the embankment is n ×10−5 m3.s−1.m−1. The value of n is ________. (Rounded off to two decimal places)
GATE→2026→Soil and Water Conservation Engineering→Soil and Water Erosion
Q45
NAT[2 Marks]
Bench terraces are planned on 15% hill slope. The vertical interval is 2.5 m, and the riser has a slope of 1:1. The earthwork in cutting is equal to the earthwork in filling. The volume of earthwork per hectare (in m3.ha−1) is ________ (Rounded off to the nearest integer)
GATE→2025→Soil and Water Conservation Engineering→Soil and Water Erosion
Q46
NAT[2 Marks]
To protect a wheat field from wind erosion, windbreaks of 2.7 m height are provided. The actual wind velocity at 15 m height perpendicular to the wind barrier is 9 m⋅s−19\text{ m}\cdot\text{s}^{-1} and the minimum wind velocity at 15 m height required to move the most erodible soil fraction is 9.6 m⋅s−19.6\text{ m}\cdot\text{s}^{-1}. The distance of full protection from this windbreak is ___ m. (Rounded off to 2 decimal places)
GATE→2025→Soil and Water Conservation Engineering→Soil and Water Erosion
Q47
NAT[2 Marks]
A stable drop structure is designed with a base length of 5.7 m. The sum of vertical forces excluding uplift is 92.5 kN, sum of uplift forces is 72.5 kN, and sum of moments of all the horizontal and vertical forces about an axis passing through mid-section of base length is 60 kN.m. The eccentricity denoting the longitudinal distance between the centroid of base area and the point of application of resultant vertical load is ___ m. (Rounded off to 2 decimal places)
GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion
Q48
MCQ[1 Mark]
In wind erosion, the maximum portion of soil is transported by the process of
GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion
Q49
MCQ[1 Mark]
Hilly areas receiving heavy rainfall, where a major portion of the rainfall is to be drained as surface runoff, are suggested to adopt bench terraces with
GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion
Q50
NAT[1 Mark]
The slope length of an area having land slope of 6% is reduced to half while other conditions are kept unchanged. The reduction in annual soil loss from the area, in %, is ___ (Rounded off to 2 decimal places)
GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion
Q51
NAT[2 Marks]
In a semi-arid region with land slope of 3%, contour bunding is planned to conserve and store the rain water. In 10 years return period, the daily effective rainfall is estimated as 20 cm maximum in the region. If the horizontal spacing between the bunds is 30 m, the designed height of the bund, in m, is ___ (Rounded off to 2 decimal places)
GATE→2022→Soil and Water Conservation Engineering→Soil and Water Erosion
Q52
NAT[1 Mark]
The ratio of soil loss from the field plot length to that from the unit plot with a slope length of 22.13 m is 0.5. If the slope length from the watershed divide is 600 m and the slope gradient is 8%, the topographic factor in the Universal Soil Loss Equation is [round off to two decimal places]