First slide

Fluid statics

Question

Fig. shows a U-tube of uniform cross-sectional area A accelerated with acceleration a as shown. If d is the separation between the limbs, then the difference in the levels of the liquid in the U-tube is

Moderate

A

ad/g
B

g/ad
C

adg
D

ad + g

Solution

F = (P₁ - P₂)A = ρgHA
F = ma - ρdAa
$\large \therefore$ ρghA = ρdAa; h = da/g

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