Waves and oscillations / Chaudhuri, R. N.

Format:

Book

Author/Creator:

Chaudhuri, R. N.

Language:

English

Subjects (All):

Wave equation.

Mathematical physics.

Physical Description:

1 online resource (394 p.)

Edition:

2nd ed.

Place of Publication:

New Delhi : New Age International, 2010.

Language Note:

English

Summary:

The book presents a comprehensive study of Waves and Oscillations in different fields of physics. It explains the basic concepts of waves and oscillations through the method of solving problems. Each chapter begins with the short and clear description of the basic concepts and principles. This is followed by a large number of solved problems of different types. The proofs of relevant theorems and derivations of basic equations and formulae are included among the solved problems. A large number of supplementary problems at the end of each chapter serve as a complete review of the theory. The topics discussed include simple harmonic motion, superposition principle and coupled oscillations, damped harmonic oscillations, forced vibrations and resonance, waves, superposition of waves, Fourier analysis, vibrations of strings and membranes, Doppler effect, acoustics of buildings, electromagnetic waves, interference and diffraction. There are more than 370 solved problems and around 380 supplementary problems with answers. This book will be of great help not only to B.Sc.(Honours and Pass) students of physics but also to those preparing for various competitive examinations. Contents: Simple Harmonic Motion Superposition Principle and Coupled Oscillations The Damped Harmonic Oscillator Forced Vibrations and Resonance Waves Superposition of Waves Fourier Analysis Vibrations of Strings and Membranes The Doppler Effect Acoustics of Buildings Electromagnetic Waves Interference Diffraction.

Contents:

""Cover""; ""Foreword""; ""Preface to the Second Edition""; ""Preface to the First Edition""; ""Contents""; ""Chapter-1.Simple Harmonic Motion""; ""1.1 Periodic Motion""; ""1.2 The Time Period (T)""; ""1.3 The Frequency (v)""; ""1.4 The Displacement (X or Y)""; ""1.5 Restoring Force or Return Force""; ""1.6 Simple Harmonic Motion (SHM)""; ""1.7 Velocity, Acceleration and Energy of a simple Harmonic Oscillator""; ""1.8 Reference Circle""; ""1.9 The Simple Pendulim""; ""1.10 Angular Simple Harmonic Motion (Torsional Pendulum)""; ""Solved Problems""; ""Supplementary Problems""

""Chapter-2. Superposition Principle and Coupled Oscillations""""2.1 Degrees of Freedom""; ""2.2 Superposition Principle""; ""2.3 Superposition Principle for Linear Inhomogeneous Equation""; ""2.4 Superposition of Simple Harmonic Motions Along A Straight Line""; ""2.5 Superposition of Two Simple Harmonic Motions at Right Angles to Each Other""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-3. The Damped Harmonic Oscillator""; ""3.1 Damped Harmonic Motion""; ""3.2 Damped LC Oscillations (LCR Circuit)""; ""Solved Problems""; ""Supplementary Problems""

""Chapter-4. Forced Vibrations and Resonance""""4.1 Forced Vibrations""; ""4.2 Resonance""; ""4.3 Quality Factor Q""; ""4.4 Helmholtz Resonator""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-5. Waves""; ""5.1 Waves""; ""5.2 Waves in One Dimension""; ""5.3 Three Dimensional Wave Equation""; ""5.4 Transverse Waves on a Stretched String""; ""5.5 Stroboscope or Strobe ""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-6. Superposition of Waves""; ""6.1 Superposition Principle""; ""6.2 Stationary Waves""; ""6.3 Wave Reflection""

""6.4 Phase Velocity and Group Velocity""""Solved Problems""; ""Supplementary Problems""; ""Chapter-7. Fourier Analysis""; ""7.1 Fourier's Theorem""; ""7.2 Dirichlet's Condition of Convergence of Fourier Series""; ""7.3 Fourier Cosine Series""; ""7.4 Fourier Sine Series""; ""7.5 Representation of a Function By Fourier Series in the Range a â?? x â?? b""; ""7.6 Fourier Integral Theorem""; ""7.7 Fourier Transform""; ""7.8 Fourier Cosine Transform""; ""7.9 Fourier Sine Transform""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-8. Vibrations of Strings and Membranes""

""8.1 Transverse Vibration of a String Fixed at Two Ends""""8.2 Plucked String""; ""8.3 Struck String ""; ""8.4 Bowed String""; ""8.5 Transverse Vibration of Membranes""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-9. The Doppler Effect""; ""9.1 The Doppler Shift ""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-10. Acoustics of Buildings""; ""10.1 Reverberation""; ""10.2 Time of Reverberation""; ""10.3 Sabine's Law""; ""10.4 Decibel (dB) Unit of Sound Level""; ""Solved Problems""; ""Supplementary Problems""; ""Chapter-11. Electromagnetic Waves""

""11.1 Maxwell's Equations""

Notes:

Description based upon print version of record.

ISBN:

1-282-50122-4

9786612501227

81-224-2842-8

OCLC:

923652265