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Physics - Fluid Question with Solution | TestHub

PhysicsFluidBernoulli's theorem and applicationsHard2 minPYQ_2012

PhysicsHardsingle choice

The cylindrical tube of a spray pump has a cross-section of $8 cm^{2}$ , one end of which has 40 fine holes each of area $1 0^{- 8} m^{2}$ . If the liquid flows inside the tube with a speed of $0.15 m min^{- 1}$ , the speed with which the liquid is ejected through the holes is

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Answer:

Solution:

According to equation of continuity, $a v =$ constant $∴$ For tube, $(8 \times 1 0^{- 4}) \times (\frac{0.15}{60}) = a_{1} v_{1}$ For holes, $(40 \times 1 0^{- 8}) \times v = a_{2} v_{2}$ $∴ a_{2} v_{2} = a_{1} v_{1}$ $∴ 40 \times 1 0^{- 8} \times v = \frac{8 \times 1 0 ^{- 4} \times 0.15}{60}$ $\Rightarrow v = \frac{8 \times 1 0 ^{- 4} \times 0.15}{40 \times 1 0 ^{- 8} \times 60}$ $= 5 m / s$

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

⏱ 2mℹ️ Source: PYQ_2012

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