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JEE Main 202228 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2022 · 28 July · Evening Shift · Physics · Mechanical Properties of Fluids

A pressure-pump has a horizontal tube of cross-sectional area 10 cm...

A pressure-pump has a horizontal tube of cross-sectional area 10cm210{cm}^{2} for the outflow of water at a speed of 20ms−120m{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 =1000kgm−3= 1000kg{m}^{- 3}]

Options

  1. A300N300N
  2. B500N500N
  3. C250N250N
  4. D400N400N

Correct answer

D. 400N400N

Step-by-step solution

Volume of water coming out of the pipe per sec =Av=10×10−4×20=0.02m3s−1= Av = 10 \times {10}^{- 4} \times 20 = 0 . 02{m}^{3}{s}^{- 1}

Mass of water hitting the wall per second m=0.02×103=20kgs−1m = 0 . 02 \times {10}^{3} = 20kg{s}^{- 1}

As the water hits the wall normal to the wall and stops, the change of momentum of water hitting the wall is =m(0−(−v))=mv= m\left(0 - \left(- v\right)\right) = mv

=20×20=400kgms−2= 20 \times 20 = 400kgm{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=400N= 400N.

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