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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Composition and Size of Nucleus

Composition and Size of Nucleus

The nucleus of an atom is composed of protons and neutrons. There are just two solid particles in an atom, and 99.9% of the mass is concentrated in the nucleus.

Table of Content
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The atomic nucleus is made up of nucleons, which are protons and neutrons. They are bound together by the strong force that results from quarks exchanging gluons. There are several strong forces in nuclei having several nucleons, and the exchange of mesons (particles created from quark and antiquark pairs) can be used to identify them (particles consisting of quark and antiquark pairs). One down quark and two up quarks make up the strong force field’s shortest-lived components. A neutron possesses one up quark and two down quarks instead of three down quarks and one up quark, making it identical to a proton. A single quark has never been separated in the laboratory, despite the certainty that nucleons are composed of quarks. It becomes more difficult to separate quarks if more energy is utilised to do it. Adding energy does not release the quarks but rather creates new particles at a particular level of energy.  

Atomic Mass and Composition of Nucleus:

A gram or a kilogram is used as the benchmark for determining the weight of various objects. It’s true that atoms are tiny in comparison to kilograms. It’s worth noting that the mass of carbon 12C is 1.992647 × 10-26 kg. A kilogram isn’t the most convenient way to express the mass of an object. As a result, several units are used to express atomic mass. In the following part, we’ll learn more about the nucleus’s structure.

Isotopes and Atomic Mass:

It is defined as 1/12th of the mass of a carbon atom (12C) to have an atomic mass unit (u).

As a result,

1u = (mass of one 12C atom)/12 = (1.992647 × 10–26)/12 = 1.660539 10–27 kg … (1)

  • Atomic mass (u) is now approximately equivalent to the mass of the hydrogen nucleus. However, there are numerous exceptions to this generalisation.
  • The next question is, how do we accurately quantify atomic mass? Using a mass spectrometer is the answer. There are several atoms of the same element with various masses but the same chemical properties, which is an exciting discovery made by measuring atomic masses. ‘Isotopes’ are the name given to these atoms.
  • Isotopes in practically all elements are found to be mixed together.

The following is an example of how this works:

The isotopes of chlorine are 34.98u and 36.98u. Almost all of these are equal to the atomic weight of a hydrogen atom. About 75.4 percent and 24.6 percent of these two isotopes are present. As a result, the weighted average mass of these two chloride isotopes can be used to determine the average mass of chlorine.

= {(75.4 x 34.98) + (24.6 x 36.98)}/100 = 35.47u = Chlorines atomic mass.

2nd Example:

There are three isotopes in the hydrogen nucleus, all with masses of 1.0160 u, 2.0141 u, and 3.0160 u. Proton is the name given to the lightest of these isotopes, which has a 99.985 percent relative abundance. Now, the proton’s mass is

mp = 1.00727 u = 1.67262 10– 27 kg … (2)

The mass of a hydrogen atom is equal to its mass minus the mass of one electron.

1.00783u – 0.00055u = 1.00728u = mp

The deuterium isotope has a mass of 2.0141 u, while the tritium isotope has a mass of 3.0160 u. Note that tritium nuclei, which are unstable, aren’t found in nature. They are made in the laboratory artificially.

Key factors:

  • The fundamental charge of a proton is one unit, and it is stable. The nucleus’s positive charge is responsible for this. A consensus emerged following the development of quantum theory that electrons exist outside the nucleus (earlier there was a lot of debate about them being inside the nucleus). Z is the atomic number of the element, and the number of electrons is equal to that number.
  • As a result, the atomic electrons’ total charge is –Ze. The nucleus of an atom is charged with +Ze because it is electrically neutral. Because of this, we can say that the number of protons in an atom is the same as how many electrons it has, which is equal to the atomic number Z.

Neutrons Discovery:

Hydrogen’s isotopes are deuterium and tritium. As a result, each of them must contain a proton. Despite this, their atomic masses clearly differ. Hydrogen, deuterium, and tritium each have an atomic mass of 1:2:3. Since these isotopes have atomic masses, they must include additional stuff. Since the protons and electrons are in equilibrium, the new matter also needs to be electrically neutral.

The extra matter in this instance is several times the proton’s mass (extra matter in deuterium and tritium is equivalent to the mass of one proton, respectively). To deduce that the nuclei of atoms are made up of non-proton stuff, as well as protons, is a simple conclusion.

Beryllium nuclei were blasted with alpha particles in 1932 by James Chadwick, who noticed the emission of neutral radiation in the process. Photons of electromagnetic radiation were the only known neutral radiation at the time. Assuming the neutral radiation is made up of protons,

   The photon energy >> The alpha particle energy obtained by bombarding Beryllium nuclei

Neutrons, according to Chadwick’s theory, are a new sort of neutral particle.

He was able to verify that the mass of a neutron is almost equivalent to the mass of a proton by subsequent computations. Now that we know the neutron’s mass to a high degree of precision, it can be denoted as:

mn = 1.00866 u = 1.6749×10–27 kg ~ mp (mass of proton)

The Composition of Nucleus:

The stability of a neutron that has escaped confinement has been questioned. With a typical life span of roughly 1000s, it decays into a proton, an electron, and an antineutrino (an elementary particle). Inside the nucleus, however, it is stable. As a result, the nucleus’s composition is as follows:

This equation is A = Z + N.

Where,

  • Z-atomic number= total amount of protons
  • N – neutrons = the number of neutrons.
  • The total number of protons and neutrons in an atom is given by the formula A – mass number.

Nucleons are another name for protons or neutrons. As a result, an atom’s mass number (A) is equal to the number of nucleons it contains. The atom’s chemical symbol, X, is represented by the nuclide AXZ.

Isotones and Isobars:

  • Isobars are those Nuclides that have the same mass number, that is “A”. For instance:  31H and 32H. 
  • Nuclides with the same number of neutrons (N) but different atomic numbers are called isotones (Z). A few examples: 198Hg80, 197Au79.

Conclusion:

To summarise, protons and neutrons are the building blocks of every nucleus. Nucleons are the name given to the two components that make up the nucleus. The various nucleus masses of an element are referred to as isotopes and are denoted by the element’s name followed by the mass, such as hydrogen-1 (where 1 denotes one proton), hydrogen-2 (2 denotes one proton and one neutron), or carbon-12 (12 denotes six protons and six electrons).

The number of protons in the nucleus is expressed as Z figuratively. This is what gives the element its chemical symbol. The total number of nucleons in the nucleus is represented symbolically by the atomic mass number A. The number of neutrons in a given element’s nuclei can vary, and as a result, so can the A of the nuclei. It is possible to have a mass number that isn’t equal to the exact mass itself. 

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What is the nucleus made of?

Ans :Protons and neutrons make up the nucleus of an atom. The strong force generated by the gluon exchange between q...Read full

What is the nucleus's weight?

Ans :The weight ranges from 1.70 fm (1.70 x 10-15...Read full

What is the size of the nucleus?

Ans :In comparison to the rest of the atom, the nucleus, despite its diminutive size, packs a powerful punch. Over 9...Read full

Ans :Protons and neutrons make up the nucleus of an atom. The strong force generated by the gluon exchange between quarks holds protons and neutrons together.

Ans :The weight ranges from 1.70 fm (1.70 x 10-15m) for hydrogen (a single proton’s diameter) to around 11.7 fm for uranium (the diameter of the nucleus).

Ans :In comparison to the rest of the atom, the nucleus, despite its diminutive size, packs a powerful punch. Over 99.9% of the mass of an atom is typically found in the nucleus.

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