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Q.

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 :

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a

β/α

b

β2/α

c

β2/α2

d

α2/β2

answer is C.

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Detailed Solution

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