MHT-CET Physics Crash Course “Bernoulli’s Principle” Class 12

“Bernoulli’s Principle” MHT-CET Class 12 Physics Crash Course | Chapter Mechanical Properties of Fluids

In this session G.S. Khairnar discussed the theory and MCQ’s of “Bernoulli’s Principle”. The session will be useful for all the aspirants of MHT-CET 2022. The session will be in Marathi and English.

Bernoulli’s Principle:-

In this article we are going to learn very important principle related to streamline flow. i.e. Bernoulli’s  principle.

Let’s discuss the concept of Bernoulli’s principle.……………!

Consider the liquid of density ‘ρ’ is flowing through the pipe of different cross-sectional areas kept on the plane horizontal surface as shown in fig. below,

Let,

A1 and A2 be the cross-sectional areas of pipe as shown in the fig.

v1 and v2 of liquid when flows through cross-sections of area A1 and A2.

H1 and H2 be the height of open ends of pipe from the surface.

If ρ is the density of liquid, then

Liquid exerts pressures P1 and P2 openings A1 and A2 due to forces F1 and F2 respectively.

Then be definition forces at the upper and lower ends are

According to equation of continuity the volume of liquid that flows through different cross-section in equal interval of time is always same,

∴ Volume of liquid, V=A1 x1 =A2 x2

The liquid travels distance ∆x1  and ∆x2 cross-sections of area A1 and A2 in equal interval of time , then the corresponding work done is given by,

Now the potential energy of liquid at the upper and lower ends can be given as,

According to law of conservation of energy, the total work done is nothing but the mechanical energy used in the system, which is sum of potential energy and kinetic energy.

∴ Mechanical energy = Potential energy + kinetic energy

∴ ∆W= ∆PE1+∆KE1

Using equations (A), (B) and (C) we get,

Hence we can state the Bernoulli’s principle as,

For streamline flow, the sum of pressure energy, potential energy per unit volume and kinetic energy per unit volume is same at all the points in the flow.

Go through the following applications of Bernoulli’s principle…..!

  1. Venturimeter: – The instrument used to find the speed of flow of liquid is based on Bernoulli’s principle.
  2. Bunsen’s Burner: – Nozzle of burner having small aperture is used to make sharp flow of fuel used in cylinder.
  3. Blood flow: – The blood flow in arteries and veins in human body obeys Bernoulli’s principle. The cause of heart can be explained with the help of Bernoulli’s principle.


 

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७ वी (7th) दहावी (SSC) बारावी (HSC) डिप्लोमा आय.टी.आय पदवी
पदव्युत्तर शिक्षण बी.एड एम.एड एल.एल.बी / एल.एल.एम बीएससी एमबीए
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बी.टेक एम.टेक MS-CIT