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Direction: The drainage area of a watershed is 50 km². The φ index is 0.5 cm/hour and the base flow at the outlet is 10 m³/s. One hour unit hydrograph (unit depth = 1 cm) of the watershed is triangular in shape with a time base of 15 hours. The peak ordinate occurs at 5 hours.

  1. The peak ordinate (in m³/s/cm) of the unit hydrograph is
    1. 10.00
    2. 18.52
    3. 37.03
    4. 185.20
Correct Option: B

Volume of water = Area under curve

=
1
× 15 × Q0 × 3600
2

Area × Depth = Volume
Depth = 1 cm (UH)
(50 × 106) × (1 × 10–2) =
1
× 15 × 3600 × Q0
2

∴ Q0 = 18.52 m³/s.



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