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An IUH is a direct runoff hydrograph ?
1. of one cm magnitude due to rainfall excess of 1-h duration
2. that occurs instantaneously due to a rainfall excess of 1-h duration
3. of unit rainfall excess precipitating instantaneously over the catchment
4. occurring at any instant in long duration

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Correct Answer - Option 3 : of unit rainfall excess precipitating instantaneously over the catchment

Explanation:

Instantaneous Unit Hydrograph(IUH):

  • The instantaneous unit hydrograph is defined as a unit hydrograph produced by an effective rainfall of 1 cm and having an infinitesimal reference duration (in other words the duration tends towards zero).
  • In terms of the systematic conception, this means that the instantaneous unit hydrograph represents the response of the catchment to an instantaneous impulse.
  • It is useful as the IUH can be analytically computed and, on the basis of the "S" curve, a certain unit hydrograph of any reference duration may be derived from it.
  • This ordinate of the instantaneous hydrograph is given by.

\(u\left( t \right) = \;\frac{1}{i}\frac{{ds}}{{dt}}\;\)Where,

I = Intensity of rainfall,

S = ordinate of S-Curve.

Uses:

  • The development of flood hydrograph for extreme rainfall magnitude for use in the design of the hydraulic structure.
  • Extension of flood flow records based on rainfall records.
  • Development of flood record based on rainfall 
  • Development of flood forecasting and warning systems based on rainfall.

Limitations:

  • Unit hydrograph cannot be used for catchment are greater than 5000 km2
  • Unit hydrograph cannot be used for catchment less than 2 km2
  • Precipitation must be in the form of rainfall only ie not be in the form of snow.​

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