First slide

Fluid statics

Question

The tube shown in figure contains two immiscible non reacting liquids of densities $ρ$ and 2 $ρ$ . If length l of column of liquid of density $ρ$ is 16 cm, find the difference h between the free surfaces of the liquids in the two arms

Moderate

A

4 cm
B

8 cm
C

12 cm
D

6 cm

Solution

Equating pressures at points A and B,
$\begin{array}{l} ρ gl = 2 ρ . g . (l - h) \\ \Rightarrow h = l - \frac{l}{2} = \frac{l}{2} = \frac{16}{2} cm \\ \Rightarrow h = 8 cm \end{array}$

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