Apart from this popular book in India, Irodov has also written another problem book titled Problems and Solutions in Atomic and Nuclear Physics, which seems to be popular else where. This is most probably out of print and is a rare book to find and has over 1000 problems of varying difficulty. The Mir edition in English was first published in 1983 and was translated from Russian by Yuri Atanov.
Perhaps the most commonly known book for Problems and Solutions in Physics preparing for all the competitive exams in India is Problems in General Physics by I. E. Irodov. This book is still in print from CBS Publishers in Delhi and hugely popular. It is supposed to the problem book in Physics. The book has typical style of all books (listed previously on this blog) of first topically giving problems and then in the later part of the book giving solutions. This is what the inside cover of the hardbound edition says about the book.
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Note 1: I generated the book's material during the dozen times I've taught Harvard's introductory mechanics course (Physics 15a).
Note 2: While the book is calculus-based, it can also easily be used in algebra-based courses. The problems that require calculus (only a sixth of the total number) are listed in an appendix, allowing students to steer clear of those if they wish.
Note 3: This book (the blue book) is written for a more general audience than Introduction to Classical Mechanics (the red book below). The blue-book problems are similar to the one-star and two-star problems in the red book. The red book contains many harder problems and more advanced topics. The blue book can be viewed as a stepping stone to the red book.