First slide

Fluid dynamics

Question

A tank of height 5m is full of water. There is a hole of cross-sectional area 1 $c m^{2}$ in its bottom. The initial volume of water that will come out from this hole per second is

Moderate

A

$10^{- 3} m^{3} / s$
B

$10^{- 4} m^{3} / s$
C

$10 m^{3} / s$
D

$10^{- 2} m^{3} / s$

Solution

$Velocity of outflow, v = \sqrt{(2 g h)} V = \sqrt{2 \times 10 \times 5} = 10 m / s V o l u m e o f l i q u i d f l o w i n g o u t V = V \times area of hole = 10 \times 10^{- 4} = 10^{- 3} m^{3} / s$

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