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Direction: Ordinates of a 1-hour unit hydrograph at 1 hour intervals, starting from time t = 0, are 0, 2, 6, 4, 2, 1 and 0 m³/s.

  1. Catchment area represented by this unit hydrograph is
    1. 1.0 km²
    2. 2.0 km²
    3. 3.2 km²
    4. 5.4 km²
Correct Option: D

Total volume of water = area under unit hydrograph
= 60 × 60 × 1 × (0 + 2 + 6 + 4 + 2 + 1 + 0) = 54000 m³
∵ Unit hydrograph, rainfall excess is 1 cm, i.e. 10–2 m.
A × 106 × (1 × 10-2) = 54000 (106 to make it km²)

∴ A =
54000
= 5.4 km²
104



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