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We are very glad to present the book PH–211 (MJ) ‘Modern Physics’
in the hands of SYBSc students. The book is strictly written and complied
according to the NEP 2020 syllabus framed...

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Modern Physics
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We are very glad to present the book PH–211 (MJ) ‘Modern Physics’
in the hands of SYBSc students. The book is strictly written and complied
according to the NEP 2020 syllabus framed by the Board of Studies in
Physics, KBC NMU Jalgaon, for Second year B.Sc. to be implemented
from June 2025 and is written in lucid, simple language giving exhaustive
details. Questions of various types are included at the end of each chapter.
This will help in generating interest and thorough understanding of the
subject. We hope, this book will be useful for the students and teachers.We
offer our sincere thanks to Shri. Rangrao Patil of Prashant Publications,
Jalgaon for his keen interest in publishing this book.
We are also thankful to Mr. Sunil Pandhare for Typesetting and also
due to for bringing out this book in time.
The constructive suggestions from students and faculty members for
improving the quality of the book will be solicited.

Unit 1………………………………………………………………………………………… 7
Matter Waves
1.1 Quantum Theory of Light
1.2 de Broglie Waves
1.3 Wave Function
1.4 De Broglie Wave velocity
1.5 Wave Group (wave packet)
1.6 Relation between Wave and Group Velocities
1.7 The Diffraction of Particle (Davisson and Germer Experiment)
1.8 The Uncertainty principle
1.9 Applications of the Uncertainty Principle
1.10 Heisenberg’s gamma ray microscope: A Thought Experiment
1.11 Different forms of Uncertainty Principle
1.12 The wave particle duality
Unit 2………………………………………………………………………………………. 32
Modern Theories of H-atom
2.1 Introduction
2.2 The Nuclear Atom
2.3 J. J. Thomson’s atom model (Plum-pudding atom model)
2.4 Rutherford’s atom model (Classical planetary atom model)
2.5 Bohr’s theory of hydrogen atom
2.6 Introduction to atomic spectra
2.7 Theory of atomic spectrum of Hydrogen atom
2.8 Energy level diagram for hydrogen atom
2.9 Atomic Excitation
2.10 Experimental verification of discrete atomic levels
2.11 Correspondence Principle
2.12 Nuclear Motion and Reduced Mass
2.13 Hydrogenic Atoms 2.14 Bohr-Sommerfield model
2.15 Bohr–Sommerfeld Model and relativistic Effects
2.16 Limitations of quantum mechanical model
Unit 3………………………………………………………………………………………. 75
Lasers
3.1 Introduction
3.2 Basic elements and complete Laser System
3.3 Lasers and Laser Light properties
3.4 Light Emission and Absorption in Quantum Theory
3.5 Einstein Theory of Light–Matter Interactions
3.6 Types of LASER
3.7 Applications of LASER