Problems in Undergraduate Physics

Posted on May 25, 2021 by The Mitr

In this post, we will see a series of books Problems in Undergraduate Physics. 

About the series

This set of four books of problems is based on a translation of a Russian collection which has been in use by students in physics at Moscow State University and the Moscow Physico-Technical In­stitute for a number of years. Where appropriate, answers and solutions to the problems are given in the second part of each volume.

During the course of the translation of these volumes, the authors provided a large list of amendments and additions to their Russian text and these have all been incorporated in this English edition. Many of the additional problems are on topics which have developed during recent years.

The standard of the problems is roughly equivalent to an undergraduate degree course in physics at a British university, or at an American university; it varies from the simple to the rather sophisticated. They can be used in conjunction with almost any textbook on physics at the appropriate level.

We do not have the first volume, the rest of the three volumes are given below. If you know the links to the first volume please post in the comments.

Edit: (just a few hours after posting we received the first volume of mechanics from Raghu N. Many thanks Raghu for the pdf!

Volume 1: Mechanics

Volume 2: Electricity and Magnetism

by S. P Streklov, I. A. El’stin and S. E. Khaikin

Volume 3: Optics

by V. L. Ginzburg, L. M. Levin, D. V. Sivukhin and E. S. Chetverikova

Volume 4: Molecular Physics, Thermodynamics, Atomic and Nuclear Physics

by by V. L. Ginzburg, L. M. Levin, M. S. Rabinovich and D. V. Sivukhin

Table of Contents

Volume I

PROBLEMS

§ 1. Kinematics 3
§ 2. Dynamics of particle motion 14
§ 3. Statics 26
§ 4. Work, Power, Energy 32
§ 5. Laws of conservation of momentum and energy 34
§ 6. Dynamics of a point particle in circular motion 38
§ 7. Dynamics of a rotating rigid body 45
§ 8. Gravity 59
§ 9. Elastic Deformations 63
§ 10. Vibrations 69
§ 11. Hydrostatics and Aerostatics 78
§ 12. Hydrodynamics and Aerodynamics 82
§ 13. Acoustics 89

ANSWERS AND SOLUTIONS

§ 1. Kinematics 97
§ 2. Dynamics of particle motion 109
§ 3. Statics 120
§ 4. Work, Power, Energy 122
§ 5. Laws of conservation of momentum and energy 124
§ 6. Dynamics of a point particle in circular motion 130
§ 7. Dynamics of a rotating rigid body 140
§ 8. Gravity 155
§ 9. Elastic Deformations 162
§ 10. Vibrations 171
§ 11. Hydrostatics and Aerostatics 178
§ 12. Hydrodynamics and Aerodynamics 181
§ 13. Acoustics 185

 

Volume II

Preface vii
PROBLEMS
§ 1. Electrostatics 3
§ 2. Direct current laws 18
§ 3. Permanent magnets 33
§ 4. The magnetic field of a current 36
§ 5. Electromagnetic induction 49
§ 6. Alternating currents 64
§ 7. Electric currents in liquids 89
§ 8. Thermoelectricity 92
§ 9. Electronics 93
§ 10. Electromagnetic waves 99

ANSWERS AND SOLUTIONS
§ 1. Electrostatics 111
§ 2. Direct current laws 131
§3. Permanent magnets 141
§4. The magnetic field of a current 144
§ 5. Electromagnetic induction 153
§ 6. Alternating currents 167
§ 7. Electric currents in liquids 179
§ 8. Thermoelectricity 181
§9. Electronics 181
§ 10. Electromagnetic waves 186

Volume III

CONTENTS

PROBLEMS

§ 1. Geometrical optics 3
§ 2.Photometry 33
§ 3. Interference and diffraction of light 38
§ 4. Polarisation of light. Fresnel’s formulae 63
§ 5. Crystal optics 70
§ 6. Velocity of light. Optics of moving media and sources. Some problems of the theory of relativity 83
§ 7. Radiation pressure 92
§ 8. Molecular optics 95

ANSWERS AND SOLUTIONS
§ 1. Geometrical optics 117
§ 2. Photometry 156
§ 3. Interference and diffraction of light 161
§ 4. Polarisation of light. Fresnel’s formulae 196
§ 5. Crystal optics 209
§ 6. Velocity of light. Optics of moving media and sources. Some problems of the theory of relativity 233
§ 7. Radiation pressure 251
§ 8. Molecular optics 255

 

Volume IV

CONTENTS
Preface vii
PROBLEMS
Chapter I. Molecular physics and thermodynamics

§ 1. Thermometry. Calorimetry. Thermal expansion 3
§ 2. Thermal conductivity 9
§ 3. Gas laws. The equation of state 14
§ 4. First and second laws of thermodynamics and their applications 19
§ 5. Properties of liquids. Surface tension. Solutions 36
§ 6. Kinetic theory of matter 45
§ 7. Heat radiation 56

Chapter II. Atomic and nuclear physics

§ 8. Structure of the atom and spectra 61
§ 9. X-Rays 69
§ 10. The quantum nature of light. The wave properties of particles 72
§ 11. Nuclear physics 80

ANSWERS AND SOLUTIONS

Chapter I. Molecular physics and thermodynamics

§ 1. Thermometry. Calorimetry. Thermal expansion 115
§ 2. Thermal conductivity 117
§ 3. Gas laws. The equation of state 120
§ 4. Firstand second laws of thermodynamics and their applications 124
§ 5. Properties of liquids. Surface tension. Solutions 143
§ 6. Kinetic theory of matter 157
§ 7. Heat radiation 172

Chapter II. Atomic and nuclear physics

§ 8. Structure of the atom and spectra 177
§9. X-Rays 186
§ 10. The quantum nature of light. The wave properties of particles 189
§ 11. Nuclear Physics 202

Tables 234

 

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Reprinting some classics

Posted on April 30, 2021 by The Mitr

Edit: Thanks for all the positive responses. Due to the lockdown of the second wave, the printing plans have got delayed a bit, but we should have some updates this month.

Posted in books, meta | 82 Comments

Principles of Electrodynamics – A. N. Matveyev

Posted on April 24, 2021 by The Mitr

In this post, we will look at the book Principles of Electrodynamics by A. N. Matveyev (Matveev). We have seen other books by Matveev in the past, Mechanics and Theory of Relativity, Optics, Molecular Physics, and Electricity and Magnetism.

About the book

In this book, we have a clear, concise introduction, on the intermediate level, of all the tools necessary to handle the most important problems in electrodynamics, with emphasis on the experimental basis of significant phenomena. The book is divided into three parts: Phenomenological Elec­trodynamics, Electron Theory, and the Theory of Relativity. The first two parts present Maxwell’s Equations and their consequences, first intro­ducing phenomenological parameters to describe the behavior of material media and then deriving them from a more fundamental microscopic view. Einstein, through his Theory of Relativity, made possible a beautiful uni­fication of electric and magnetic phenomena. Therefore, a discussion of the historical background which led to Einstein’s theory, its fundamental concepts, and their far-reaching consequences may be found in the last part of this text. Principles of Electrodynamics, then, fills the need for a somewhat more advanced text on electricity and magnetism which does not assume great mathematical sophistication, but which does emphasize the basic physics.

The book was translated from the Russian by Leon F. Landovitz and was publised by Reinhold in 1966. AFAIK there is no translation of the book in Mir.

PDF | 440 Pg | Bookmarked | OCR

You can get the book here.

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Write to Us mirtitles@gmail.com

Contents

PART I
PHENOMENOLOGICAL ELECTRODYNAMICS

  1. Maxwell’s Equations as a Generalization of Experimental Fact 5

§1. The electromagnetic field. System of units 5
§2. Differential form of Gauss’ theorem 9
§3. Ohm’s law and the Joule-Lenz law in differential form 13
§4. Equation of continuity and displacement current 15
§5. Generalization of the law of total current 18
§6. Differential form of the law of electromagnetic induction 21
§7. Maxwell’s equation, div B = 0 22
§8. Maxwell’s system of equations. The energy of the electromagnetic field 23
§9. Boundary conditions 26
Problems 32

  1. Electrostatics 36

§10. Possibility of considering electrical and magnetic problems separately 36
§11. Electrostatic field in a homogeneous medium 36
§12. Laplace’s equation and Poisson’s equation 41
§13. Conductors in an electrostatic field 45
§14. Dielectrics in an electrostatic field 57
§15. Energy of the electrostatic field and the energy of the interaction between charges 64
§16. Mechanical energy in an electrostatic field Problems 74
Problems 74

  1. Static Magnetic Field 83

§17. General properties and equations of the magnetostatic field 83
§18. Applied emf’s and the generalized Ohm’s and Joule-Lenz laws 84
§19. Magnetostatic field in a homogeneous medium. Biot-Savart law 87
§20. Magnetic substances in a magnetic field 94
§21. Energy of the magnetic field of steady currents
§22. Mechanical forces in the magnetostatic field 105
Problems 109

  1. Quasi-Static Electromagnetic Fields 117

§23. Definitions and equations 117
§24. System of conductors, taking mutual inductance and self-inductance into account 121
§25. Electric circuit with capacitance and inductance 124
§26. Induction of currents in moving conductors
§27. Skin effect 131
Problems 135

  1. Generation of Electromagnetic Waves 138

§28. General equations 138
§29. Radiation of a linear oscillator 144
§30. Radiation of a current loop 154
§31. Directed radiation 156
Problems 156

  1. Propagation of Electromagnetic Waves 158

§32. Propagation of electromagnetic waves in dielectrics 158
§33. Propagation of electromagnetic waves in conducting media 162
§34. Refraction and reflection of plane electromagnetic waves at a boundary between dielectrics 164
§35. Motion of electromagnetic waves along transmission lines 171
Problems 175

PART II
ELECTRON THEORY

  1. Interaction of Charges with the Electromagnetic Field 179

§36. Fundamental equations of electron theory 179
§37. Motion of an electron in an electromagnetic damping 181
§38. Radiation of an oscillating electron. Radiation field 194
§39. Theory of the spectral line width 199
§40. Scattering of light by free electrons 203
§41. Momentum of an electromagnetic field. Pressure of light 204 Problems 207

  1. Dielectrics

§42. Rarefied gases 212
§43. Dense gases, liquids, and solid dielectrics 217
§44. Theory of dispersion 221
Problems 226

  1. Magnetic Substances 228

§45. Motion of electrons in atoms in an external magnetic field 228
§46. Diamagnetic substances 234
§47. Paramagnetic substances 237
§48. Remarks on ferromagnetism 239
§49. Gyromagnetic effects 240
Problems 243

  1. Conductors 244

§50. Electrical conductivity of gases 244
§51. Electrical conductivity of liquids 249
§52. Electrical conductivity of metals 251
§53. Superconductivity 256
Problems 259

  1. Relationship between Phenomenological Electrodynamics and Electron Theory 260

§54. Averaging of fields 260
§55. Averaging the microscopic current density 262
§56. Averaging the charge density 265

PART III
THEORY OF RELATIVITY

  1. Postulate of the Constancy of the Velocity of Light 267

§57. The velocity of light 271
§58. Michelson’s experiment 276
§59. The ballistic hypothesis 280
§60. Fizeau’s experiment 281
§61. Postulate that the velocity of light is constant

  1. The Principle of Relativity

§62. Frames of reference 286
§63. The principle of relativity in classical mechanics 90
§64. The principle of relativity in the special theory of relativity 294

  1. The Lorentz Transformation and Its Kinematic Corollaries 296

§65. Derivation of the Lorentz transformation 296
§66. Length of a moving body 303
§67. Rate of moving clocks. Proper time 306
§68. Simultaneity 309
§69. Addition of velocities 312
Problems 314

  1. Mathematical Apparatus of the Theory of Relativity 316

§70. Four-dimensional space 316
§71. Four-dimensional vectors 320
§72. Four-dimensional tensors 323
§73. Tensor analysis 325
§74. Tensor calculus as a tool of the theory of relativity 327

  1. Relativistic Electrodynamics 329

§75. Four-dimensional potential and four-dimensional current density 329
§76. Tensor form of Maxwell’s equations 331
§77. Electromagnetic field tensors 334
§78. Four-dimensional force density 338
§79. Electromagnetic field energy momentum tensor 340
§80. Doppler effect 344
§81. Plane waves 347
§82. Field of an arbitrarily moving electron 351
§83. Electrodynamics of moving media 359
Problem 364

  1. Relativistic Mechanics 365

§84. Equations of motion 365
§85. Dependence of mass on velocity 367
§86. Relationship between mass and energy 369
§87. Laws of conservation 375
§88. Charged particle accelerators 376
Problems 392

Appendix 1. Vector Algebra and Analysis Formulas Used in This Book 398
Appendix 2. International (SI) System of Units 400
Index 403

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Can You Chip In?

Posted on December 29, 2020 by The Mitr

Please consider donating to The Internet Archive if you can!

Sorry for the long hiatus in posting over last few months.

We will begin with new posts in the new year, have several new titles to post! Till then hold on.

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सचित्र खगोलशास्त्र – लेविन, रादलोवा , (A picture book of astronomy – Levin, Radlova in Marathi)

Posted on August 30, 2020 by The Mitr

In this post we will see the Marathi version of the book A picture book of astronomy by Boris Levin and Lidia Radlova. titled सचित्र खगोलशास्त्र

The Internet Archive Link

The original scan is by Guptaji, it has some cropping and many pages missing including the front cover and title pages. I have cleaned the book. There is a Telugu version also which we will post in the future.

Posted in astronomy, books, children's stories, raduga publishers | Tagged , , , , , , , , , | 5 Comments

తెలుగులో కొన్ని పుస్తకాలు – పార్ట్ 2 | Some books in Telugu – Part 2

Posted on August 30, 2020 by The Mitr

There are about 40 odd books translated to Telugu which we have been added. We will look at the first five of them in this post. Some of them have been added in English earlier, some of them are new.

Many thanks to Guptaji for the original scans, some of them have been cleaned for better readability.

Many thanks to Keerthi and DP for help in typing the titles in Telugu.

This is part 2 of the cache. Part 1 is here.


వర్ధిల్లాలి సుబ్బూ, నీళ్ళూ! కోర్నెయ్ చుకోవ్ స్కి ( Vardhillali Subbu, You Too! Korney Chukovsky)

వెండి గిట్ట పి. బజోవ్ ( Silver Hoof P. Bajov)

యూష్కా ఎ.కుప్రీన్ ( Yushka A. Kuprin)

మొదటి వేట వి. బియాంకి ( The First Hunt V. Biyanki)

నీళ్లకు పోయిన ఎలక లిథువేనియన్ జానపద పాటలు ( Lost Leaf Lithuanian Folk Songs)

 

The pictures of the puppy in The First Hunt are just too good..

 

Posted in books, children's stories, raduga publishers, soviet | Tagged , , , , , , , , | 2 Comments

Volunteer help needed! Please help create a comprehensive list of books

Posted on August 26, 2020 by The Mitr

Please help in creating a list of all the Soviet titles:

Help edit the entries in the this spreadsheet

Let me know if you have any questions

Posted in books, meta | Tagged , | 20 Comments

Misha en español (Misha in Spanish)

Posted on August 16, 2020 by The Mitr

Mientras revisaba el Archivo, encontré algunas copias de Misha en español.

While browsing the Archive, I found some copies of Misha in Spanish.

All credits to the IA user @mikasa

10/1984

04/1985

03/1986

07/1987

11/1989

07/1990

 

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తెలుగులో కొన్ని పుస్తకాలు – పార్ట్ 1 | Some books in Telugu – Part 1

Posted on August 16, 2020 by The Mitr

There are about 40 odd books translated to Telugu which we have been added. We will look at the first five of them in this post. Some of them have been added in English earlier, some of them are new.

Many thanks to Guptaji for the original scans, some of them have been cleaned for better readability.

Many thanks to Keerthi and DP for help in typing the titles in Telugu.


మెర్గెనూ, అతని మిత్రులు నానాయ్ జానపదకథ ( Mergen And His Friends Nanai Folklore)

మాయ గుర్రం మేటి గుర్రం రష్యన్ జానపద కథ ( Maya Horse Meti Horse Russian Folk Tale)


మేలు మరవని పిచిక కె. పౌస్టోవ్స్కీ ( The Ruffled Sparrow K. Paustovski)


వేర్వేరు చక్రాలు వి. సుతేయేవ్ ( Different Wheels V. Suteyev)


మొసలి కాజేసిన సూర్యుడు కోర్నేయ్ చుకోవ్స్కి ( Crocodile Sun Korney Chukovsky)

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Integral Equations In Elasticity – Parton, Perlin

Posted on August 10, 2020 by The Mitr

In this post, we will look at the book Integral Equations In Elasticity by V. Z. Parton, P. I. Perlin.

About the book

This book presents the fundamentals of the theory of regular and singular integral equations in the case of one and two variables. The general principles of the theory of approximate methods are considered as well as their application for the efficient solution of both regular and singular integral equations. The necessary information is given on the three-dimensional and two-dimensional equations of the theory of elasticity including the formulation of boundary value problems. The book contains the derivation and analysis of various integral equations of the plane problem for both fundamental boundary value problems and mixed problems, and also for bodies with cuts. In the three-dimensional case the construction and analysis of integral equations are carried out for the first and second fundamental problems.

Emphasis is placed on efficient methods for solving integral equations for the plane and three-dimensional problems of elasticity. Examples are given illustrating the advantages of a particular approach. The book is appended with an extensive list of references giving comprehensive information of the subject of investigation.

The emphasis on numerical methods for the solution of integral equations for elastostatic problems corresponds to the author’s conviction that this approach has considerable promise, particularly with the advent of the nearest-generation computers.

The scope of the book is limited to elastostatic problems though the extension of the methods described to dynamic problems apparently involves no fundamental difficulties.

The book was translated from the Russian by ???? and was published by Mir in 1982.

Many thanks to Akbar Azimi for the scans.

The Internet Archive Link

Contents

Preface to the English Edition 7

Preface to the Russian Edition 8

On the Formation of Integral Equation Methods in the Theory of Elasticity by D. I. Sherman 10

Notation 19

Chapter 1 ELEMENTS OF THE THEORY OF ONE-DIMENSIONAL AND MULTIDIMENSIONAL INTEGRAL EQUATIONS

1. Analytic Theory of a Resolvent 21

2. Cauchy-type Integral 35

3. Riemann Boundary Value Problem 48

4. Singular Integral Equations 52

5. Riemann Boundary Value Problem in the Case of Discontinuous Coefficients and Unclosed Contours 64

6. Singular Integral Equations in the Case of Discontinuous Coefficients and Unclosed Contours 71

7. Two-dimensional Singular Integrals 75

8. Two-dimensional Singular Integral Equations 89

Chapter II APPROXIMATE METHODS FOR SOLVING INTEGRAL EQUATIONS

9. General Principles of the Theory of Approximate Methods 98

10. Method of Successive Approximations 105

11. Mechanical Quadrature Method for Regular Integral Equations 111

12. Approximate Methods for Solving Singular Integral Equations 114

13. Approximate Methods for Solving Singular Integral ^

Equations (Continued) 120

Chapter III FUNDAMENTAL PRINCIPLES OF THE MATHEMATICAL THEORY OF ELASTICITY

14. Three-dimensional Problem 137

15. Plane Problem 137

16. Bending of Thin Plates 143

17. On Singular Solutions of Elastic Equations 148

Chapter IV INTEGRAL EQUATIONS FOR TWO-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY

18. Muskhelishvili’s Integral Equations 155

19. Sherman-Lauricella Integral Equations 159

20. Sherman-Lauricella Integral Equations (Continued) 164

21. Multiply (Doubly) Connected Regions 168

22. Problems of the Theory of Elasticity for Piecewise Homogeneous Bod ies 171

Chapter V SOME SPECIAL TOPICS OF TWO-DIMENSIONAL ELASTICITY

23. Problems of the Theory of Elasticity for Bodies with Cuts 175

24. Integral Equations for Mixed (Contact) Problems 179

25. Problems of the Theory of Elasticity for Bodies Bounded by Piecewise Smooth Contours 182

26. Method of Linear Relationship 186

27. Method of Linear Relationship (Continued) 189

Chapter VI INTEGRAL EQUATIONS FOR FUNDAMENTAL THREE-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY

28. Generalized Elastic Potentials 199

29. Regular and Singular Integral-Equations for Fundamental Three-dimensional Problems 206

30. Extension of the Fredholm Alternatives to Singular Integral Equations of the Theory of Elasticity 215

31. Spectral Properties of Regular and Singular Integral Equations. Method of Successive Approximations 217

32. Differential Properties of Solutions of Integral Equations and Generalized Elastic Potentials 223

33. Approximate Methods of Solving Integral Equations for Fundamental Three-dimensional Problems 224

34. Problems of the Theory of Elasticity for Bodies Bounded by Several Surfaces 239

35. Three-dimensional Problems of the Theory of Elasticity for Bodies with Gut 244

36. Piecewise Homogeneous Bodies 253

37. Solution of Problems of the Theory of Elasticity for Bodies Bounded by Piecewise Smooth Surfaces 262

38. Mixed (Contact) Problems 269

Conclusion 274

References 277

Author Index 299

Subject Index 302

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