First slide

Fluid dynamics

Question

There is a hole of area A at the bottom of a cylindrical vessel. Water is filled upto a height h and water flows out in t sec. If water is filled to a height 4h, then it will flow out in time

Moderate

A

2 t
B

4 t
C

16 t
D

7/4 t

Solution

Time of empty t $\propto \sqrt{h}$
Therefore $\frac{t "}{t} = \sqrt{\frac{4 h}{h}} \Rightarrow t " = 2 t$

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