First slide

Fluid statics

Question

At a certain depth of an incompressible liquid, the absolute pressure is p. At twice this depth, the absolute pressure is $p_{1}$ . Then

Moderate

A

$p_{1} = 2 p$
B

$p_{1} > 2 p$
C

$p_{1} < 2 p$
D

$p_{1} = 2.5 p$

Solution

$p = p_{0} + p g h$ where $p_{0} =$ atmospheric pressure
$p_{1} = p_{0} + p . g .2 h$
$∴ p_{1} = p_{0} + 2 (p - p_{0}) = 2 p - p_{0} < 2 p$

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