A syringe having area ‘A’ of its cylindrical portion is fitted with a plunger. Area of orifice at the front end of the syringe is ‘a’. What should be the value of force ‘F’ applied on plunger so that liquid (density, ρ) comes out of syringe with speed ‘v’? (All contacts are frictionless and air inside the syringe is at atmospheric pressure)
- A$F=\frac12\rho A v^2\left(1-\frac{a^2}{A^2}\right)$
- B$F=\frac12\rho a v^2\left(1-\frac{a^2}{A^2}\right)$
- C$F=\frac{\rho v^2}{2A}$
- D$F=\frac12\rho A v^2\left(1-\frac{A^2}{a^2}\right)$
✓ Correct answer: A
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