WBJEE · Physics · Mechanical Properties of Fluids
As shown in the figure, a pump is designed as horizontal cylinder with a piston having area A and an outlet orifice having an area ' \(a\) '. The piston moves with a constant velocity under the action of force \(F\). If the density of the liquid is \(\rho\), then the speed of the liquid emerging from the orifice is, (assume \(A > > a\) )
- A \(\sqrt{\frac{F}{\rho A}}\)
- B \(\frac{a}{A} \sqrt{\frac{F}{\rho A}}\)
- C \(\sqrt{\frac{2 F}{\rho A}}\)
- D \(\frac{A}{a} \sqrt{\frac{2 F}{\rho A}}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{\frac{2 F}{\rho A}}\)
Step-by-step Solution
Detailed explanation
Hint: by principle of continuity \(\mathrm{AV}=\mathrm{av}\) by Bernoulis principle…
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