DURATION of ‘D’ hours.The theory of unit hydrograph was developed by SHERMAN in the year 1932 and ASSUMPTIONS are given below-1. Time invariance-According to this assumption the DRH for a given effective rainfall is always the same in the catchment irrespective of the time, when the rainfall or storm takes place.2. Linear response-This is the single most important assumption in the theory of unit hydrograph. According to this assumption any change in the input VALUE is proportionately reflected in the output value.Runoff = 1 cm + 1 cm = 2 cmTime = 2 hr + 2 hr = 4 hr