As shown in figure, a liquid of density $ρ$ is standing in a sealed container to a height $h$ . The container contains compressed air at a gauge pressure of p . The horizontal outlet pipe has a cross-sectional area 'A' at C and D. The cross-sectional area is 'A/2' at E. Find correct options.

Question

CT59 question 8 source diagram

TestHub · Accepted Answer

Apply Bernoulli from the free surface to outlet E.

$P_{0} + p + ρ g h = P_{0} + \frac{1}{2} ρ v_{E}^{2}$

$v_{E} = \frac{2 ( p + ρ g h )}{ρ}$

Use continuity between sections C and E.

$A v_{C} = \frac{A}{2} v_{E}$

$v_{C} = \frac{p + ρ g h}{2 ρ}$

$Q = A v_{C} = A \frac{p + ρ g h}{2 ρ}$

These results correspond to A and D.

Physics - Fluid Question with Solution | TestHub

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