First slide
Fluid dynamics
Question

Water is poured in a vessel at a constant rate β m3/s.. There is a small hole of area α at the bottom of the vessel. The maximum level of water in the vessel is proportional to : 

Easy
Solution

When water attains maximum level, rate of inflow will be equal to rate of outflow.
β=αv=α2gh β2α2=2ghhβ2α2

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