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Physics Fluid Mechanics Mix MCQ (Single Correct)

Water is being poured in a vessel at a constant rate α m 3 /s. There is a small hole of area a at the bottom of the tank. The maximum level of water in the vessel is proportional to:

A
α
B
α 2
C
a –1
D
a –2

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The correct answer is:
CHECK THE SOLUTION.

(b, d)

Level of water in the vessel will be maximum when rate of inflow of water = rate of outflow of water.

or α = av

or α = a

or h =

i.e., h ∝ α 2 and h ∝ a –2

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