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Physics - Fluid Question with Solution | TestHub

PhysicsFluidBernoulli's theorem and applicationsMedium2 minPYQ_2011

PhysicsMediumsingle choice

Water is flowing with velocity $4 m s^{- 1}$ in a cylinder of diameter $8 cm$ , it is connected to a pipe with it end tip of diameter $2 cm$ , calculate the velocity of water at this free end.

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Answer:

Solution:

Here, $v_{1} = 4 m s^{- 1}, A_{1} = π r_{1}^{2} = 16 π \times 1 0^{- 4} m^{2}$ $A_{2} = π r_{2}^{2} = π \times 1 0^{- 4} m^{2}$ Using, $A_{1} v_{1} = A_{2} v_{2}$ $∴ v_{2} = \frac{A _{1} v _{1}}{A _{2}} = \frac{16 π \times 1 0 ^{- 4} \times 4}{π \times 1 0 ^{- 4}} = 64 m s^{- 1}$ Velocity of water at free end, $v_{2} = 64 m s^{- 1}$

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

⏱ 2mℹ️ Source: PYQ_2011

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