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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » BERNOULLI’S PRINCIPLE AND ITS APPLICATION

BERNOULLI’S PRINCIPLE AND ITS APPLICATION

Concepts of Bernoulli’s principle, application of Bernoulli’s principle and proof of Bernoulli’s principle, Formula of Bernoulli’s equation, limitation of Bernoulli’s Principle, uses of Bernoulli’s principle

Table of Content
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Atomic mass is the amount of matter contained in a molecule or a component. It is conferred as an alternate of one-twelfth the mass of the carbon-12 molecule, 1.992646547 × 10−23 gram, which is appointed a nuclear mass of 12 units. On this scale, one nuclear mass unit (amu) compares to 1.660539040 × 10−24 grams. The nuclear mass unit is likewise called the Dalton (Da), later English physicist John Dalton.

The noticed atomic mass is somewhat not exactly the amount of the majority of the protons, neutrons, and electrons that make up the molecule.

Any two or more types of atoms that have the same atomic number and position in the periodic table, but have different numbers of neutrons in their nuclei are called isotopes.

Mass Number :

The mass number is an important physical and chemical property of an atomic nucleus. The total number of nucleons in an atomic nucleus is determined by adding up the number of protons and neutrons combined with a knowledge of the isotope. 

  • This number is then denoted by the letter A and called Mass Number or Atomic Mass Number. The mass number is of great importance in the study of atomic structure and dynamics. 
  • It can be used to find the average mass and the nuclear density of any element from its known atomic mass. The idea can be extended to calculate the masses of nuclei, that is constituted by a certain number of protons and neutrons from their mass numbers. The concept can also be used in other fields like astrophysics, geology, etc.

AXz

A = Mass Number (protons + neutrons) 

X = Symbol of the Element

Z = Atomic Number (Protons) 

Mass Number (A) = Protons present + neutrons present

Example: Let’s take a look at the chemical symbol for Carbon: C. The number of protons in C is 6. The number of protons + the number of Neutrons = Mass Number. So, the Mass Number for Carbon is 12.

Isotopes: 

Isotopes of an element are essentially atoms of the same element that have a different number of neutrons. Neutrons are uncharged particles in the nucleus of an atom. When the nucleus has too many or few neutrons, it is known as an isotope. Isotopes have different masses due to the variation in the number of neutrons. Hydrogen is an element with one proton and no neutrons. 

    • Atoms having a different number of neutrons are thus called isotopes. Since the number of electrons is not altered, the chemical properties of individual isotopes are identical, but they have different nuclear stability and hence a different atomic mass. 
    • Hence isotopes have a different mass number than their parent elements. For example, two isotones of hydrogen exist, viz. deuterium and tritium, while helium has three stable isotopes viz helium-3, helium-4, and lithium-6. Isotopes can be found naturally on earth in variable proportions, which are primarily due to the variation in their cosmic ray exposure as well as to natural radiation.
  • Examples of Isotopes: 

1H1                                 2H1                               3H1                                   

Protium       Deuterium      Tritium

Isobar:

isobar, in atomic physical science, any individual from a gathering of nuclear or atomic species, all of which have a similar mass number—that is, similar all outnumber of protons and neutrons. Accordingly, chlorine-37 and argon-37 are isobars. Chlorine-37 has 17 protons and 20 neutrons in its core, though argon-37 has a core involving 18 protons and 19 neutrons. In beta rot, mother and little girl cores are consistently isobars because either a neutron is changed over to a proton or a proton is changed over to a neutron all the while. 

Isotone:

isotone, any of at least two types of molecules or nuclei that have a similar number of neutrons. Hence, chlorine-37 and potassium-39 are isotones, because the nucleus of this type of chlorine comprises 17 protons and 20 neutrons, while the core of this type of potassium contains 19 protons and 20 neutrons.

Conclusion :

In this article, we studied the atomic number and atomic number definition. Besides this, we got to learn isotopes and isobars and how students can learn to make sure they understand the questions well. Students need to understand the basic differences between isotopes and isobars as this is an important topic in Chemistry. The isotopes of an element have been distinguished according to the atomic numbers and the atomic masses. Atomic numbers, isotopes, and isobars are an essential part of chemistry, and hence students need to learn them.

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State Bernoulli's principle.

Bernoulli’s principle is one of the most important concepts in the field of fluid mechanics in which we can discus...Read full

What are the applications of Bernoulli’s principle?

 The applications are:-              Moving Boats in Para...Read full

What are the limitations of Bernoulli’s principle?

The limitations are:- Bernoulli’s equation is valid only for stre...Read full

Bernoulli’s principle is one of the most important concepts in the field of fluid mechanics in which we can discuss how the pressure energy (potential energy), kinetic energy are related. Bernoulli’s principle is suitable for any kind of fluid i.e. (liquid or gas).

 The applications are:-

             Moving Boats in Parallel 

             Working of an Aeroplane 

Blowing of Roofs 

Bernoulli’s principle can be applied for measuring devices such as Venturi metre, Nozzle metre. 

Action of atomiser 

Bunsen burner 

Magnus Effect 

 

The limitations are:-

Bernoulli’s equation is valid only for streamline liquid not for turbulent or non constant flow. 

The fluid should be incompressible. 

The outer force of the liquid will affect the flow of liquid. 

This principle is mostly valid for non-viscosity fluids. 

The flow of liquid could not be changed with respect to time. 

The effect of viscousness should be negligible. 

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