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PhysicsFluidBernoulli's theorem and applicationsMedium3 minQB

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Passage / Comprehension

A container is filled with water as shown. A constant force $F$ is applied slowly to its piston to expel the water.
Water volume is $V$ , orifice cross-sectional area is $a$ , liquid density is $ρ$ , and cylinder cross-sectional area is $A$ .

What is the time taken to completely squeeze the water?

Options:

Answer:

Solution:

Volume flow rate:
$Q = a v$
The total expelled volume is V:
$a v t = V$
$t = \frac{V}{a v}$
$v = \frac{2 F}{A ρ}$
$t = \frac{V}{a} \frac{A ρ}{2 F}$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Bernoulli's theorem and applications

⏱ 3mℹ️ Source: QB

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