ESSENTIAL MODERN PHYSICS Study Guide Workbook (with Full Solutions)

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INTRODUCTION 1 SPECIAL RELATIVITY CONCEPTS Galilean Relativity The Mysterious Ether Earth , Light , and the Hypothetical Ether Why c + v , c – v , and Michelson - Morley Experiment The Problem Einstein’s Theory of Special Relativity Simultaneity Is Relative Time Dilation Length Contraction Relativistic Mass Proper Time , Proper Length , and Rest Mass Symbols and SI Units Constants Strategy for Solving Galilean Relativity Problems Strategy for Solving Conceptual Special Relativity Problems Chapter 1 Problems Solutions to Chapter 1 2 TIME DILATION AND LENGTH CONTRACTION Relevant Terminology Time Dilation Length Contraction Time Dilation and Length Contraction Equations Symbols and SI Units Constants Strategy for Solving Time Dilation and Length Contraction Problems Chapter 2 Problems Solutions to Chapter 2 3 THE LORENTZ TRANSFORMATION Relevant Terminology The Galilean Transformation The Lorentz Transformation Time Dilation and Length Contraction in the Lorentz Transformation Rotational Invariance in Galilean Relativity Lorentz Invariance Tensor Notation Notation The Kronecker Delta The Levi - Civita Symbol The Metric Tensor The Scalar Product between 4 - Vectors Tensor Relations and Identities Symbols and SI Units Constants Strategy for Problems Involving the Lorentz Transformation Strategy for Problems Involving Tensor Notation Chapter 3 Problems Solutions to Chapter 3 RELATIVE VELOCITY Relevant Terminology Chapter 4 Problems Solutions to Chapter 4 RELATIVISTIC MOMENTUM AND ENERGY Relevant Terminology Momentum and Energy Mass and Energy Relativistic 4 - Momentum Relativistic Collisions The Lab and CM Frames Conservation Laws Versus Invariance Electron Volts Symbols and SI Units Metric Prefixes Constants Notes Regarding Units Strategy for Relating Energy , Momentum , and Speed Relativistic Collision Strategy Chapter 5 Problems Solutions to Chapter 5 6 BLACKBODY RADIATION Relevant Terminology Thermal Radiation Electromagnetic Waves Electromagnetic Spectrum Spectrum of Thermal Radiation Wavelength , Frequency , and Temperature Kirchhoff’s Law for Radiation Blackbody Radiation Cavity Radiation The Law of Equipartition of Energy ( Classical Result ) Energy of a Single Electromagnetic The Number of Electromagnetic The Rayleigh - Jeans Formula The Ultraviolet Catastrophe Planck’s Solution to the Ultraviolet Average Energy of Electromagnetic Standing Waves ( Classical Physics ) Average Energy of Electromagnetic Standing Waves ( Quantum Physics ) Energy Density per Frequency for a Blackbody Cavity ( Quantum Prediction ) Dependence on Frequency and Wavelength Wien’s Displacement Stefan’s Law Deriving Stefan’s Law Deriving Wien’s Displacement Law Symbols and SI Units Absolute Temperature Notes Regarding Units Differences in Notation and Terminology Strategy for Solving Thermal Radiation Problems Chapter 6 Problems Solutions to Chapter 7 THE PHOTOELECTRIC EFFECT The Photoelectric Effect Classical Predictions for the Photoelectric Effect Quantum Explanation of Photoelectric Effect Equations Chapter 7 Problems Solutions to Chapter 8 THE COMPTON EFFECT Relevant Terminology Chapter 8 Problems Solutions to Chapter 8 9 BOHR’S MODEL Chapter 9 Problems Solutions to Chapter 9 10 THE DE BROGLIE RELATION Chapter 10 Problems Solutions to Chapter 10 11 HEISENBERG’S UNCERTAINTY PRINCIPLE Chapter 11 Problems Solutions to Chapter 11 12 DIFFERENTIAL EQUATIONS First - Order , Separable Differential Equations Second - Order , Separable Differential Equations Chapter 12 Problems Solutions to Chapter 12 13 SCHRÖDINGER’S EQUATION Chapter 13 Problems Solutions to Chapter 13 14 PROBABILITIES AND EXPECTATION VALUES Normalization Chapter 14 Problems Solutions to Chapter 14