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Fundamentals of Physics Chapter 42 Solutions: Nuclear Physics

Resnick Halliday & Walker Fundamentals of Physics Volume 2 Solutions for Chapter 42 ‘Nuclear Physics’ will help you read and solve all the problems related to the chapter in a constructive manner. These solutions will offer a great insight into Discovery of Nucleus, some Nuclear Properties, Radioactive decay, Alpha decay, Beta decay, Radioactive Dating, Some Nuclear Models, etc. These concepts will help you take your preparation of Nuclear Physics to a higher level for exams like JEE Advanced. Therefore, we recommend you to get in touch with our solutions as your understanding with the chapter will be crystal clear.

The solutions provided in Resnick Halliday & Walker Fundamentals of Physics Volume 2 Nuclear Physics consists of 97 questions divided into two sections named Modules and Additional problems. The questions are based on the concepts that you will learn in this chapter Nuclear Physics for JEE. You will have questions on binding energy, alpha decay, beta decay, radioactive dosage, and so on. With the help of the solutions, you will be able to improve your problem-solving skills to counter different types of questions in the chapter. These solutions are also useful for ones who are preparing Physics for Competitive exams like JEE and NEET.

Considering the importance of Nuclear Physics to your exam point of view,  our Resnick Halliday & Walker solutions can be a great option for you to practice questions related to it. We have framed our solutions in a manner that it will become easy for you to access each question. These solutions are a perfect guide for Class 12 Physics board exam preparation as well. We have included basics to advanced level topics in the solutions for your thorough understanding.

Important Topics of Resnick Halliday & Walker Fundamentals of Physics Volume 2 Solutions Chapter 42: Nuclear Physics

Nuclear Physics is one of the most significant chapters of Resnick Halliday & Walker Fundamentals of Physics for Class 12. This chapter possesses various important topics that we are going to learn. We are providing you with some of the useful definitions of topics that are included in this chapter. Reading them, you will get a little overview of Nuclear Physics.

Nuclides- Have you ever heard about atoms or atomic species like isotopes and isotones? These atomic species actually are Nuclides. It is also referred to as Nuclear species.

You know the Nucleus of an atom comprises protons, neutrons, and the energy states where the transmissions of electrons take place.

So, Nuclide are these atomic species that are characterized by the constituent of  Nucleus 

See, the characterization-

                                   No. of protons by Z.

                                   No. of neutrons by N.

                                 Energy states.

  Let’s see the radii of nuclei- 

                                   R = R0A1/3     

                                   Where,  R0 = 1.2*10-15 m

Nuclear Binding Energy- It’s the minimum amount of energy that is needed to break up the nucleus of an atom into different components. The components after a breakup are protons, nucleons, etc.

See here the formula for Binding energy-

                   BE = = {[Zm(1H) + Nmn] − m(AX)}c2

                   Where,

                  m(1H), the mass of a hydrogen atom

                  m(AX),  the atomic mass of the nuclide.

                    mn, the mass of a neutron.

Nuclear Forces- The forces that bind the particles of the nucleus. Typically a nucleus contains protons, neutrons, and the forces acting between them are called nuclear forces.

There are four  Nuclear forces:

  • Gravitational Forces.
  • Weak  Nuclear Forces.
  • Strong Nuclear Forces.
  • Electromagnetic Forces

Radioactive Decay- It’s a process at which the nucleus is broken into several atomic species. It is because some radioisotopes do not have binding energy to hold the nucleus atoms, and they emitted energy and particles when radiation takes place.

Radioactive Decay equation-

N = N0.e-λt   ,               R = λ N    and          R = R0.eλt

Where λ s disintegration constant.

Alpha Decay- In this decay, atomic nuclei emit alpha particles. In Alpha decay, the atom produced contains atomic number 2 less and mass number 4 less.

See an example-

22688Ra → 22286Rn+42He

 

Beta Decay- In this type of decay, a beta particle is emitted. A beta particle is considered as a fast electron species.

Radioactive Dating – It’s a widely used technique to date the radioactive atoms. Dating is done on rocks or carbon atoms and the most commonly used atoms i.e. carbon, potassium, etc are the most prominent examples of it.

Exercise Discussion of Resnick Halliday and Walker Fundamentals of Physics Volume 2 Solutions Chapter 42: Nuclear Physics

This chapter has a variety of questions divided into 8 modules. Let’s see them-

Module 1: Discovery of Nucleus 

This module has 5 questions based on the discovery of the nucleus. The questions are about the collisions of alpha particles and nuclei.

Module 2: Some Nuclear Properties 

This module comprises 19 Halliday Resnick’s problems based on some nuclear properties. You will find questions about binding energy in this module. In most of them, you have to find the binding energy per nucleon of an atom, in some of which you need to compute the radii of nuclei of an atom.

Module 3: Radioactive Decay

In this Module questions using the concepts of radioactive decay. You must know the formula of radioactive decay to tackle them. It has 23 odd questions at which you will be asked to find the half-life of radioactive isotopes, the mass of radioactive atoms, the rate of radioactive decay, etc.

Module 4: Alpha Decay

This module contains 5 questions based on the Alpha decay. You will find a question of type at which some hypothetical process of decay is given and you need to confirm the statements and further find the energies of them.

Module 5: Beta Decay

Well, this module has 6 questions, and those are using the concepts of beta decay. In questions of this module, you will be asked to find the energies in decay, the maximum energies that positrons emitted.

Module 6: Radioactive Dating 

In this module, you will find 5 questions based on the concepts of radioactive dating. In these, you will be asked to find the age of rocks, and to determine how old the charcoal is.

Module 7:  Measuring Radioactive Dosage

You will be given 5 questions based on the concepts of radioactive dosage. You have to describe the activity of becquerels, curies, sieverts, rem, etc.

Module 8:  Nuclear Models

In this module, you have to answer the questions based on the different nuclear models in Nuclear physics. This section has 4 questions to solve.

Additional Problems

This exercise of Resnick Halliday & Walker Fundamentals of Physics Volume 2 Nuclear Physics contains 12 questions. By solving these, you will not only be able to understand all the concepts but also your preparation regarding your exams will become better.

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