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PhysicsFluidBernoulli's theorem and applicationsMedium2 minPYQ_2022
PhysicsMediumsingle choice

A pressure-pump has a horizontal tube of cross-sectional area10 cm2for the outflow of water at a speed of20 m s-1. The force exerted on the vertical wall just in front of the tube which stops water horizontally flowing out of the tube, is: [given : density of water=1000 kg m-3]

Options:

Answer:
D
Solution:

Volume of water coming out of the pipe per sec =Av=10×10-4×20=0.02 m3 s-1

Mass of water hitting the wall per second m=0.02×103=20 kg s-1

As the water hits the wall normal to the wall and stops, the change of momentum of water hitting the wall is =m0--v=mv

=20×20=400 kg m s-2

Since, the change of momentum obtained is per unit time, it is same as the force.  

Thus, the force acting on the wall by water = force experienced by water jet=400 N.

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Bernoulli's theorem and applications
2mℹ️ Source: PYQ_2022

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