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Waves and Oscillations PDF

394 Pages·2009·2.41 MB·English
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(cid:87)(cid:97)(cid:118)(cid:101)(cid:115)(cid:32)(cid:97)(cid:110)(cid:100)(cid:32) (cid:79)(cid:115)(cid:99)(cid:105)(cid:108)(cid:108)(cid:97)(cid:116)(cid:105)(cid:111)(cid:110)(cid:115) This page intentionally left blank (cid:87)(cid:97)(cid:118)(cid:101)(cid:115)(cid:32)(cid:97)(cid:110)(cid:100)(cid:32) (cid:79)(cid:115)(cid:99)(cid:105)(cid:108)(cid:108)(cid:97)(cid:116)(cid:105)(cid:111)(cid:110)(cid:115) (cid:40)(cid:83)(cid:69)(cid:67)(cid:79)(cid:78)(cid:68)(cid:32)(cid:69)(cid:68)(cid:73)(cid:84)(cid:73)(cid:79)(cid:78)(cid:41) (cid:82)(cid:46)(cid:78)(cid:46)(cid:32)(cid:67)(cid:104)(cid:97)(cid:117)(cid:100)(cid:104)(cid:117)(cid:114)(cid:105) (cid:80)(cid:104)(cid:46)(cid:68)(cid:46) (cid:70)(cid:111)(cid:114)(cid:109)(cid:101)(cid:114)(cid:32)(cid:80)(cid:114)(cid:111)(cid:102)(cid:101)(cid:115)(cid:115)(cid:111)(cid:114)(cid:32)(cid:97)(cid:110)(cid:100)(cid:32)(cid:72)(cid:101)(cid:97)(cid:100) (cid:68)(cid:101)(cid:112)(cid:97)(cid:114)(cid:116)(cid:109)(cid:101)(cid:110)(cid:116)(cid:32)(cid:111)(cid:102)(cid:32)(cid:80)(cid:104)(cid:121)(cid:115)(cid:105)(cid:99)(cid:115)(cid:44)(cid:32)(cid:86)(cid:105)(cid:115)(cid:118)(cid:97)(cid:45)(cid:66)(cid:104)(cid:97)(cid:114)(cid:97)(cid:116)(cid:105) (cid:83)(cid:97)(cid:110)(cid:116)(cid:105)(cid:110)(cid:105)(cid:107)(cid:101)(cid:116)(cid:97)(cid:110)(cid:44)(cid:32)(cid:87)(cid:101)(cid:115)(cid:116)(cid:32)(cid:66)(cid:101)(cid:110)(cid:103)(cid:97)(cid:108) Copyright © 2010, 2001, New Age International (P) Ltd., Publishers Published by New Age International (P) Ltd., Publishers All rights reserved. No part of this ebook may be reproduced in any form, by photostat, microfilm, xerography, or any other means, or incorporated into any information retrieval system, electronic or mechanical, without the written permission of the publisher. All inquiries should be emailed to [email protected] ISBN (13) : 978-81-224-2842-1 PUBLISHING FOR ONE WORLD NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS 4835/24, Ansari Road, Daryaganj, New Delhi - 110002 Visit us at www.newagepublishers.com Foreword In order to understand the physical world around us, it is absolutely necessary to know the basic features of Physics. One or the other principle of Physics is at work in objects of daily use, e.g., a ceiling fan, a television set, a bicycle, a computer, and so on. In order to understand Physics, it is necessary to solve problems. The exercise of solving problems is of immense help in mastering the fundamentals of the subject. Keeping this in mind, we have undertaken a project to publish a series of books under the broad title Basic Physics Through Problems. The series is designed to meet the requirements of the undergraduate students of colleges and universities, not only in India but also in the rest of the third world countries. Each volume in the series deals with a particular branch of Physics, and contains about 300 problems with step-by-step solutions. In each book, a chapter begins, with basic definitions, principles, theorems and results. It is hoped that the books in this series will serve two main purposes: (i) to explain and derive in a precise and concise manner the basic laws and formulae, and (ii) to stimulate the reader in solving both analytical and numerical problems. Further, each volume in the series is so designed that it can be used either as a supplement to the current standard textbooks or as a complete text for examination purposes. Professor R. N. Chaudhuri, the author of the present volume in the series, is a teacher of long standing. He has done an excellent job in his selection of the problems and in deriving the solutions to these problems. Kiran C. Gupta Professor of Physics Visva-Bharati Santiniketan This page intentionally left blank Preface to the Second Edition It is a great pleasure for me to present the second edition of the book after the warm response of the first edition. There are always important new applications and examples on Waves and Oscillations. I have included many new problems and topics in the present edition. It is hoped that the present edition will be more useful and enjoyable to the students. I am very thankful to New Age International (P) Ltd., Publishers for their untiring effort to bringing out the book within a short period with a nice get up. R.N. Chaudhuri This page intentionally left blank Preface to the First Edition The purpose of this book is to present a comprehensive study of waves and oscillations in different fields of Physics. The book explains the basic concepts of waves and oscillations through the method of solving problems and it is designed to be used as a textbook for a formal course on the subject. Each chapter begins with the short but 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 are included among the solved problems. A large number of supplementary problems at the end of each chapter serves as a complete review of the theory. Hints are also provided in the case of relatively complex problems. 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. In all, 323 solved and 350 supplementary problems with answers are given in the book. 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. I thank Professor K.C. Gupta for going through the manuscripts carefully and for suggesting some new problems for making the book more interesting and stimulating. R.N. Chaudhuri

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