Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd ENGINEERING PHYSICS First Year Punjab Technical University Paper Code - BTPH101 Dr S. Mani Naidu M.Sc., Ph.D., P.G.D.C.A. Associate Professor of Physics Sree Vidyanikethan Engineering College Tirupati, Andhra Pradesh Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: i Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd Copyright © 2012 Dorling Kindersley (India) Pvt. Ltd Licensees of Pearson Education in South Asia No part of this eBook may be used or reproduced in any manner whatsoever without the publisher’s prior written consent. This eBook may or may not include all assets that were part of the print version. The publisher reserves the right to remove any material present in this eBook at any time. ISBN 9788131761847 eISBN 9789332509511 Head Office: A-8(A), Sector 62, Knowledge Boulevard, 7th Floor, NOIDA 201 309, India Registered Office: 11 Local Shopping Centre, Panchsheel Park, New Delhi 110 017, India Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: ii Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd Contents Preface ix Acknowledgements x Roadmap to the Syllabus xi Chapter 1 Electromagnetic Waves and Dielectrics 1-1 1.1 Introduction 1-1 1.2 Gradient of a scalar 1-1 1.3 Curl of a vector 1-2 1.4 Divergence of a vector 1-3 → 1.5 Relationship between the electric fi eld (E) and electric potential (V) 1-4 1.6 Th e displacement current 1-5 1.7 Maxwell’s equations 1-6 1.8 Electromagnetic waves in free space and their velocity 1-7 1.9 Poynting vector 1-9 1.10 Electromagnetic spectrum 1-11 1.11 Dielectric polarization 1-12 1.12 Types of polarization 1-13 Formulae 1-21 Solved Problems 1-22 Multiple-choice Questions 1-27 Answers 1-29 Review Questions 1-29 Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: iii Project Name: Engineering Physics ACE Pro India Pvt. Ltd. X:\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd iv Contents Chapter 2 Magnetic Materials and Superconductivity 2-1 Part A: Magnetic materials 2-1 2.1 Introduction 2-1 2.2 Diamagnetic materials 2-1 2.3 Paramagnetic materials 2-2 2.4 Ferromagnetic materials 2-2 2.5 Anti-ferromagnetic materials 2-2 2.6 Ferrimagnetic materials [Ferrites] 2-4 2.7 Magnetic anisotropy 2-6 2.8 Magnetostriction 2-7 2.9 Production of ultrasonic waves by magnetostriction 2-7 Part B: Super conductivity 2-9 2.10 Introduction 2-9 2.11 Signifi cances or general features of super conductors 2-10 2.12 Meissner eff ect and superconductor as ideal diamagnetic material 2-15 2.13 Type-I and Type-II Superconductors 2-16 2.14 London equations 2-17 2.15 BCS Th eory 2-19 Formulae 2-23 Solved Problems 2-23 Multiple-choice Questions 2-26 Answers 2-30 Review Questions 2-30 Chapter 3 Elements of Crystallography 3-1 3.1 Introduction 3-1 3.2 Space lattice or crystal lattice 3-2 3.3 Th e basis and crystal structure 3-3 3.4 Unit cell and lattice parameters 3-3 3.5 Crystal systems and bravais lattices 3-4 Modifi ed Date: Mon, Jul 25, 2011 02:30:11 PM Output Date: Mon, Jul 25, 2011 02:30:33 PM FPP Page Number: iv Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd Contents v 3.6 Crystal planes, directions and miller indices 3-8 3.7 Characteristic and continuous X-rays 3-11 3.8 Diff raction of X-rays by crystal planes and Bragg’s law 3-16 3.9 Bragg’s spectrometer 3-18 3.10 X-ray radiography 3-20 Formulae 3-21 Solved Problems 3-21 Multiple-choice Questions 3-23 Answers 3-28 Review Questions 3-28 Chapter 4 Lasers 4-1 4.1 Introduction 4-1 4.2 Spontaneous and stimulated emission 4-1 4.3 Einstein’s coeffi cients 4-3 4.4 Population inversion and pumping mechanisms 4-5 4.5 Components of a laser system 4-8 4.6 Helium–Neon gas [He–Ne] laser 4-8 4.7 Ruby laser 4-10 4.8 Semi conductor laser 4-11 4.9 Carbon dioxide laser 4-15 4.10 Applications of lasers 4-17 4.11 Holography 4-20 Formula 4-22 Solved Problems 4-22 Multiple-choice Questions 4-23 Answers 4-27 Review Questions 4-27 Chapter 5 Fibre Optics 5-1 5.1 Introduction 5-1 5.2 Principle of optical fi bre, acceptance angle and acceptance cone 5-1 5.3 Numerical aperture (NA) 5-4 Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: v Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd vi Contents 5.4 Step index and graded index fi bres – Transmission of signals in them 5-6 5.5 Normalized frequency (or V-number) and modes of propagation 5-9 5.6 Material dispersion and pulse broadening in optical fi bres 5-10 5.7 Splicing 5-11 5.8 Connectors 5-12 5.9 Couplers 5-12 5.10 Applications of optical fi bres 5-14 Formulae 5-17 Solved Problems 5-18 Multiple-choice Questions 5-23 Answers 5-25 Review Questions 5-26 Chapter 6 S pecial Theory of Relativity 6-1 6.1 Introduction 6-1 6.2 Absolute frame of reference and ether 6-1 6.3 Th e Michelson–Morley experiment 6-2 6.4 Postulates of special theory of relativity 6-6 6.5 Lorentz transformation of space and time 6-6 6.6 Length contraction 6-9 6.7 Time dilation 6-10 6.8 Concept of simultaneity 6-11 6.9 Addition of velocities 6-11 6.10 Variation of mass with velocity 6-13 6.11 Mass–energy equivalence 6-17 6.12 Energy and momentum relation 6-19 Formulae 6-19 Solved Problems 6-20 Multiple-choice Questions 6-24 Answers 6-25 Review Questions 6-25 Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: vi Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd Contents vii Chapter 7 Quantum Theory 7-1 7.1 Need and origin of quantum concept 7-1 7.2 Wave particle duality–Matter waves 7-2 7.3 Phase and group velocities 7-5 7.4 Uncertainty principle 7-8 7.5 Schrödinger’s time dependent and time independent wave equation 7-11 7.6 Physical signifi cance of wave function 7-14 7.7 Normalization of wave function 7-15 7.8 Eigen functions and Eigen values 7-15 7.9 Particle in a potential box 7-16 Formulae 7-26 Solved Problems 7-26 Multiple-choice Questions 7-31 Answers 7-33 Review Questions 7-33 Chapter 8 Nanophysics 8-1 8.1 Introduction 8-1 8.2 Nanoscale 8-2 8.3 Surface to volume ratio 8-2 8.4 Electron confi nement 8-3 8.5 Nanomaterials 8-5 8.6 Nanoparticles (1D, 2D, 3D) 8-6 8.7 Unusual properties of nanomaterials 8-8 8.8 Fabrication of nanomaterials 8-11 8.9 Synthesis (or production) of nanomaterials 8-13 8.10 Carbon nanotubes 8-14 8.11 Applications of nanomaterials 8-17 Multiple-choice Questions 8-19 Answers 8-23 Review Questions 8-23 Solved Question Papers S-1 Index I-1 Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: vii Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd This page is intentionally left blank. Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: viii Project Name: Engineering Physics ACE Pro India Pvt. Ltd. \\192.168.4.30\Project1\Pearson\Engineering Physics\MAIN\PTU\A01\LAYOUT\A01_PTU_ISBN_EN_FM.indd Preface Th e contents of Engineering Physics have been designed to cater to the needs of B.Tech. students at the Punjab Technical University (PTU), Punjab. Th e book follows a simple narrative style with empha- sis on clarity. Th e concepts are treated rigorously to help students gain a deep seated understanding of the key elements intrinsic to the subject. To this end, a list of important formulae, solved prob- lems, multiple-choice questions and review questions have been included at the end of each chapter. Th ese pedagogical elements would prepare the student-reader to face both internal tests and term-end examinations with ease. Further, a collection of previous years’ university question papers with solu- tions are included to enhance the book’s value as an undergraduate text. Engineering Physics deals with the physics of substances that are of practical utility. Th is book focuses on the complete PTU syllabus that includes EM waves and Dielectrics, Magnetic Materials and Superconductivity, Elements of crystallography, Lasers, Fiber Optics, Special Th eory of Relativity, Quantum Th eory and Nanophysics. I hope this book will be benefi cial to both students and teachers of physics at various engineering colleges. Comments, feedback and suggestions for the improvement of this book are welcome. Any error that may have crept into the book inadvertently may kindly be brought to my notice or to that of the publisher. Mani Naidu Modifi ed Date: Mon, Jul 25, 2011 12:25:40 PM Output Date: Mon, Jul 25, 2011 12:26:03 PM FPP Page Number: ix