Integrate from t=1 to 2: $F=\int_1^2(2+e^{-3t})dt=2+(e^{-3}-e^{-6})/3=2.015769$ cm. This is 20.15769 mm, closest to **20 mm, C**. The integral presumes enough rainfall to maintain infiltration at capacity during that hour.
More Hydrology questions
GATE 2022 AG Q18– The shape of the falling limb of a hydrograph depends on .
GATE 2022 AG Q56– Rainfall is 152.4 mm. Land uses: residential40%, soil C, CN83; good open space25%, soil D,…
GATE 2022 AG Q58– Inflow ordinates at hours 0–9 are0,23,57,119,98,71,57,28,11,0 m³/s. Muskingum Δt=1 h,…