First slide

Fluid dynamics

Question

Figure shows two holes in a wide tank containing a liquid column. The water streams coming out of these holes strike the ground at the same point. The height of liquid column in the tank is

Moderate

A

10 cm
B

8 cm
C

9.8 cm
D

980 cm

Solution

Range $R = 2 \sqrt{h (H - h)}$
$R_{1} = R_{2} \Rightarrow 2 \sqrt{h_{1} (H - h_{1})} = 2 \sqrt{h_{2} (H - h_{2})}$
$4 (H - 4) = 6 (H - 6)$
or $2 H = 36 - 16 = 20 or H = 10 cm$

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