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Tamil Nadu PSC Watershed Hydrology: practice questions

Tamil Nadu PSC — Agricultural Engineering (Code 164, degree standard) · India · Tamil Nadu Public Service Commission

Original practice questions written to the published syllabus · not past papers
10worked here, free
37written to this exam in this subject
12syllabus 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

Where the 37 questions fall

How our questions for Tamil Nadu PSC spread across the units of Watershed Hydrology. Difficulty: 19 easy, 14 medium, 4 hard.

Drought classification6
Interception and evaporation (pan)5
Missing rainfall data and double-mass analysis4
Runoff estimation: rational method4
The hydrologic cycle3
Frequency analysis, return period and IDF curves3
Streamflow measurement3
Precipitation measurement and rain-gauge networks2
Runoff estimation: SCS curve number2
Hydrographs and the unit hydrograph2
Flood routing: Muskingum and reservoir (Puls) methods2
Infiltration: Horton, Philip and the phi-index1

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 · Precipitation measurement and rain-gauge networks · easy

Which rain gauge produces a series of electrical pulses, each representing a fixed small depth of rain, and is therefore well suited to telemetry?

  1. Standard non-recording gauge
  2. Natural-siphon (float) gauge
  3. Tipping-bucket gauge
  4. Storage (totaliser) gauge
Answer and working

C. Tipping-bucket gauge

Each tip of the bucket closes a contact, so the count per unit time gives intensity. The natural-siphon gauge draws a mass curve on a chart, and non-recording and storage gauges give only totals.

Further reading: Subramanya, Engineering Hydrology

2 · Missing rainfall data and double-mass analysis · medium

A double-mass curve shows a slope of 0.84 for the older part of a station's record and 1.05 for the recent part. The record is to be adjusted to current conditions. An old annual value of 72 cm becomes:

  1. 90.0 cm
  2. 57.6 cm
  3. 72.0 cm
  4. 75.6 cm
Answer and working

A. 90.0 cm

Pcx = Px × Mc/Ma = 72 × 1.05/0.84 = 90.0 cm, where Mc is the slope of the period adjusted to. 57.6 cm inverts the ratio; 75.6 cm multiplies by only one slope.

Further reading: Subramanya, Engineering Hydrology

3 · Missing rainfall data and double-mass analysis · easy

Double-mass analysis of rainfall records is used to:

  1. estimate missing daily rainfall from the neighbouring stations' records
  2. compute the mean areal rainfall
  3. check and correct the consistency of a station's record
  4. derive intensity-duration-frequency curves
Answer and working

C. check and correct the consistency of a station's record

A break in slope of the double-mass curve shows a change in gauge site, exposure or practice. Missing data are filled by the normal ratio or averaging methods, not by double-mass analysis.

Further reading: Subramanya, Engineering Hydrology

4 · 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

5 · Runoff estimation: rational method · easy

A 25 ha catchment has a runoff coefficient of 0.4 and a design intensity of 60 mm/h. The peak runoff by the rational method is:

  1. 166.7 m³/s
  2. 1.667 m³/s
  3. 0.0167 m³/s
  4. 600 m³/s
Answer and working

B. 1.667 m³/s

With A in hectares, Q = CiA/360 = 0.4 × 60 × 25/360 = 1.667 m³/s. Using the km² constant 3.6 with hectares gives 166.7 m³/s (100 times too large), dividing by 36,000 gives 0.0167 m³/s, and omitting the constant gives CiA = 600.

Further reading: Subramanya, Engineering Hydrology

6 · Runoff estimation: rational method · hard

A grassed waterway drains 30 ha. The longest flow path is 700 m at a slope of 0.02, C = 0.45, and the local IDF relation is i = 1000 T^0.2/(D + 20)^0.8 (i in mm/h, D in min). For a 10-year return period, the design peak using Kirpich's tc is about:

  1. 1.78 m³/s
  2. 357 m³/s
  3. 5.36 m³/s
  4. 3.57 m³/s
Answer and working

D. 3.57 m³/s

tc = 0.01947 × 700^0.77 × 0.02^−0.385 = 13.6 min. i = 1000 × 10^0.2/(13.6 + 20)^0.8 = 95.2 mm/h. Q = 0.45 × 95.2 × 30/360 = 3.57 m³/s. Using a 60-minute duration instead of tc gives 1.78; entering tc in hours in the IDF formula gives 5.36 m³/s; the 3.6 constant with hectares gives 357 m³/s, 100 times too large.

Further reading: Subramanya, Engineering Hydrology

7 · 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

8 · Runoff estimation: SCS curve number · medium

A 60 ha catchment yields 35 mm of direct runoff in a storm. The runoff volume available for a farm pond is:

  1. 2,100 m³
  2. 210,000 m³
  3. 350 m³
  4. 21,000 m³
Answer and working

D. 21,000 m³

1 mm over 1 ha = 10 m³, so 35 × 10 × 60 = 21,000 m³. 2,100 and 210,000 m³ are factor-of-ten slips in the unit conversion, and 350 m³ forgets the area.

Further reading: Subramanya, Engineering Hydrology

9 · Hydrographs and the unit hydrograph · easy

A D-hour unit hydrograph is the direct runoff hydrograph resulting from:

  1. one unit depth of total rainfall, losses included, falling uniformly over the catchment in one hour
  2. one unit of effective rainfall spread uniformly over the catchment at a steady rate for D hours
  3. a storm of D hours of any depth
  4. one cubic metre per second of baseflow for D hours
Answer and working

B. one unit of effective rainfall spread uniformly over the catchment at a steady rate for D hours

The unit refers to effective (excess) rainfall, not total rainfall, and the duration D must be stated.

Further reading: Subramanya, Engineering Hydrology

10 · Drought classification · hard

For a district and week, current NDVI is 0.42, and the historical minimum and maximum NDVI for that week are 0.30 and 0.70. The Vegetation Condition Index is:

  1. 60%
  2. 42%
  3. 70%
  4. 30%
Answer and working

D. 30%

VCI = (NDVI − NDVImin)/(NDVImax − NDVImin) × 100 = (0.42 − 0.30)/(0.40) × 100 = 30%. 60% divides by the maximum only; 70% measures distance from the maximum instead. 42% simply reads the current NDVI as a percentage.

Further reading: WMO Handbook of Drought Indicators and Indices

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Read the subject

Watershed HydrologyThe full study manual, free Tamil Nadu PSCFormat, sections and how it has changed

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Watershed Hydrology for other exams

ICAR AIEEA-PG · IndiaGATE · IndiaRajasthan PSC · IndiaASRB NET · IndiaICAR AICE-JRF/SRF · India

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