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ICAR AIEEA-PG Watershed Hydrology: practice questions

ICAR AIEEA-PG — Agricultural Engineering & Technology (Major Subject Group 10) · India · National Testing Agency for ICAR

Original practice questions written to the published syllabus · not past papers
10worked here, free
94written to this exam in this subject
13syllabus units

What this subject covers

Rain to runoff: measuring precipitation, subtracting losses, estimating runoff and routing floods.

In the exams: GATE AG Section 4 Hydrology (SWCE is the heaviest GATE section, ~16 marks a year 2019–26); ICAR AIEEA-PG Unit VII; ICAR AICE subjects 40 and 43; NCEES PE hydrology; state PSCs

What ICAR AIEEA-PG asks from it

ICAR AIEEA-PG — Agricultural Engineering & Technology

Unit VII hydrology as single-answer MCQs: definitions (φ-index, IUH, S-curve, double-mass curve), gauge types, pan coefficients, formula recognition and short calculations with the +4/−1 marking.

Where the 94 questions fall

How our questions for ICAR AIEEA-PG spread across the units of Watershed Hydrology. Difficulty: 36 easy, 43 medium, 15 hard.

Hydrographs and the unit hydrograph11
Infiltration: Horton, Philip and the phi-index9
Flood routing: Muskingum and reservoir (Puls) methods9
S-curve, IUH and synthetic unit hydrographs8
Precipitation measurement and rain-gauge networks7
Missing rainfall data and double-mass analysis7
Frequency analysis, return period and IDF curves7
Interception and evaporation (pan)7
Runoff estimation: SCS curve number7
The hydrologic cycle6
Runoff estimation: rational method6
Streamflow measurement6
Drought classification4

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · The hydrologic cycle · medium

A 200 km² catchment has mean annual rainfall 900 mm and a mean annual flow of 1.9 m³/s at its outlet. Taking long-term storage change and groundwater exchange as zero, estimate mean annual evapotranspiration.

  1. About 300 mm
  2. About 899 mm
  3. About 1,200 mm
  4. About 600 mm
Answer and working

D. About 600 mm

Runoff depth = 1.9 × 365 × 86,400 / (200 × 10⁶) = 0.2996 m = 300 mm. ET = P − R = 900 − 300 ≈ 600 mm. 300 mm is the runoff itself, not ET; 899 mm comes from converting only one day of flow; 1,200 mm adds runoff to rainfall.

Further reading: Subramanya, Engineering Hydrology

2 · Precipitation measurement and rain-gauge networks · medium

Isohyets of 20, 30, 40 and 50 mm are drawn over a 200 km² catchment. Areas between successive isohyets are 60 km² (20–30), 90 km² (30–40) and 50 km² (40–50). What is the mean rainfall by the isohyetal method?

  1. 34.5 mm
  2. 35.0 mm
  3. 29.5 mm
  4. 39.5 mm
Answer and working

A. 34.5 mm

Each band takes the mean of its bounding isohyets: (25×60 + 35×90 + 45×50)/200 = 34.5 mm. Using the lower isohyet of each band gives 29.5 mm and the upper gives 39.5 mm; 35.0 mm is an unweighted average of the band means.

Further reading: Subramanya, Engineering Hydrology

3 · Precipitation measurement and rain-gauge networks · easy

Heavy rainfall on the windward slopes of a mountain range with a dry rain-shadow on the leeward side is characteristic of:

  1. convective precipitation
  2. orographic precipitation
  3. frontal precipitation
  4. cyclonic precipitation over the sea
Answer and working

B. orographic precipitation

Air forced up a barrier cools and precipitates on the windward side. Convective rain comes from local surface heating, not from a barrier.

Further reading: Subramanya, Engineering Hydrology

4 · Precipitation measurement and rain-gauge networks · medium

The largest single source of error in rainfall measured by a standard gauge is usually:

  1. evaporation from the measuring glass during the hours before it is read
  2. splash into the gauge from the surrounding ground during heavy rain
  3. condensation inside the funnel
  4. wind, which deflects drops over the orifice and causes under-catch
Answer and working

D. wind, which deflects drops over the orifice and causes under-catch

Wind turbulence around the gauge causes under-catch, more so for snow and fine drops. Evaporation and splash errors exist but are smaller with standard siting.

Further reading: Chow, Maidment and Mays, Applied Hydrology

5 · Frequency analysis, return period and IDF curves · easy

The probability that a 50-year flood is equalled or exceeded in any one year is:

  1. 0.64
  2. 0.02
  3. 0.98
  4. 0.36
Answer and working

B. 0.02

p = 1/T = 1/50 = 0.02. 0.98 is the probability of non-exceedance; a 50-year event is not guaranteed once in 50 years. 0.64 is the chance of at least one exceedance in 50 years (1 − 0.98⁵⁰), and 0.36 is the chance of none (0.98⁵⁰).

Further reading: Subramanya, Engineering Hydrology

6 · Frequency analysis, return period and IDF curves · hard

A spillway must have no more than a 10% risk of its design flood being exceeded during a 50-year life. The minimum design return period is about:

  1. 500 years
  2. 10 years
  3. 50 years
  4. 475 years
Answer and working

D. 475 years

T = 1/[1 − (1 − R)^(1/n)] = 1/[1 − 0.9^(1/50)] = 475 years. 500 years comes from the approximation T = n/R, which is close but not exact. 10 years is simply 1/R, ignoring the 50-year life.

Further reading: Subramanya, Engineering Hydrology

7 · Interception and evaporation (pan) · hard

Using Meyer's formula E = C(ew − ea)(1 + u₉/16) with C = 0.36 for a large deep reservoir, estimate daily evaporation when ew = 23.76 mm Hg, ea = 11.88 mm Hg and u₉ = 16 km/h.

  1. 11.88 mm/day
  2. 8.55 mm/day
  3. 4.28 mm/day
  4. 17.11 mm/day
Answer and working

B. 8.55 mm/day

E = 0.36 × (23.76 − 11.88) × (1 + 16/16) = 0.36 × 11.88 × 2 = 8.55 mm/day. C = 0.50 is for small shallow waters; omitting the wind term gives 4.28; using ew instead of the difference gives 17.11.

Further reading: Subramanya, Engineering Hydrology

8 · Runoff estimation: SCS curve number · easy

Hydrologic soil group A in the SCS curve number method refers to soils with:

  1. very slow infiltration and high runoff potential, such as heavy clays
  2. a high water table that stays near the surface for most of the year
  3. shallow soil over impervious rock
  4. high infiltration rates and low runoff potential, such as deep sands
Answer and working

D. high infiltration rates and low runoff potential, such as deep sands

Group A has the lowest runoff potential. Clays, high water tables and shallow soils over rock are group D.

Further reading: USDA NRCS National Engineering Handbook Part 630

9 · S-curve, IUH and synthetic unit hydrographs · easy

A 6-hour unit hydrograph can be obtained from a 3-hour unit hydrograph by:

  1. doubling the ordinates of the 3-hour unit hydrograph and keeping its time base unchanged
  2. adding two 3-hour unit hydrographs lagged by 3 hours and dividing the ordinates by 2
  3. halving the ordinates of the 3-hour unit hydrograph
  4. shifting the 3-hour unit hydrograph by 6 hours and adding it to the original
Answer and working

B. adding two 3-hour unit hydrographs lagged by 3 hours and dividing the ordinates by 2

The lagged sum represents 2 cm in 6 hours, so dividing by 2 returns it to 1 cm. Simply doubling ordinates gives 2 cm in 3 hours, a different storm.

Further reading: Subramanya, Engineering Hydrology

10 · S-curve, IUH and synthetic unit hydrographs · medium

By Snyder's method a basin has lag tp = 11 h, so the standard duration is tr = tp/5.5 = 2 h. For a 4-hour unit hydrograph, the adjusted lag is:

  1. 11.0 h
  2. 11.5 h
  3. 13.0 h
  4. 12.0 h
Answer and working

B. 11.5 h

tpR = tp + (tR − tr)/4 = 11 + (4 − 2)/4 = 11.5 h. 13.0 adds the whole difference in duration; 11.0 ignores the adjustment. 12.0 h divides the duration difference by 2 instead of 4.

Further reading: Subramanya, Engineering Hydrology

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Read the subject

Watershed HydrologyThe full study manual, free ICAR AIEEA-PGFormat, sections and how it has changed

More ICAR AIEEA-PG practice

Surveying & LevellingComputer Programming, Data Structures & Agricultural InformaticsEngineering MathematicsEngineering ThermodynamicsHydraulic Drives & ControlsSoil Science for EngineersPost-Harvest Engineering of Horticultural CropsMachine DesignFluid Mechanics & Open Channel HydraulicsTheory of MachinesSoil MechanicsBio-energy Systems: Design & ApplicationsProbability, Statistics & Data AnalysisStrength of MaterialsRenewable Energy Sources (Solar, Wind)Electrical Machines & Power UtilisationIrrigation Engineering (Soil-Water-Plant, Conveyance, Surface Methods)Groundwater, Wells & PumpsWatershed Planning & ManagementRefrigeration, Air-Conditioning & Cold-Chain EngineeringEngineering Properties of Agricultural ProduceWater Resources Management, Floods & Canal SystemsEngineering Mechanics (Statics & Dynamics)Sprinkler & Micro-Irrigation Systems

Watershed Hydrology for other exams

GATE · IndiaRajasthan PSC · IndiaTamil Nadu PSC · IndiaASRB NET · IndiaICAR AICE-JRF/SRF · India

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