Chapter-wise Solutions for JEE Main Physics, Chemistry and Mathematics Bhupender Sudan Physics Shivanand Upadhyay Neha Joshi Upadhyay Chemistry Bhupinder Singh Tomar Hansa Soni Tomar Mathematics A01_JEE-PHYSICS_XXXX_FM.indd 1 8/9/2016 4:13:30 PM 9 78-93-325-8206-4 A01_JEE-PHYSICS_XXXX_FM.indd 2 8/5/2016 2:08:00 PM Contents Preface vii Physics Chapter 1 Units and Dimensions P-1 Chapter 2 Kinematics P-4 Chapter 3 Newton’s Laws of Motion and Friction P-13 Chapter 4 Work, Power and Energy P-20 Chapter 5 Circular Motion P-25 Chapter 6 Centre of Mass P-27 Chapter 7 Rotational Motion P-31 Chapter 8 Fluids and Surface Tension P-38 Chapter 9 Thermal Expansion and Heat Transfer P-43 Chapter 10 Thermodynamics P-49 Chapter 11 Gravitation P-58 Chapter 12 Simple Harmonic Motion P-64 Chapter 13 Waves P-71 Chapter 14 Sound P-74 Chapter 15 Electrostatics I P-78 Chapter 16 Electrostatics II P-86 Chapter 17 Electric Current P-90 Chapter 18 Capacitance P-101 Chapter 19 Magnetism P-105 Chapter 20 Electromagnetic Induction P-116 Chapter 21 Alternating Current P-124 Chapter 22 Geometric Optics P-127 Chapter 23 Wave Optics P-135 Chapter 24 Modern Physics I P-139 A01_JEE-PHYSICS_XXXX_FM.indd 3 8/5/2016 2:08:00 PM iv | Contents Chapter 25 Modern Physics II P-147 Chapter 26 Semiconductors and Communications P-153 Test Paper 1 P-161 Test Paper 2 P-169 Test Paper 3 P-176 Test Paper 4 P-182 Test Paper 5 P-189 Test Paper 6 P-197 Test Paper 7 P-205 Test Paper 8 P-214 Test Paper 9 P-222 Test Paper 10 P-229 JEE Main 2016 P-239 Chemistry Chapter 1 Some Basic Concepts of Chemistry C-1 Chapter 2 Structure of Atom C-6 Chapter 3 Classification of Elements and Periodicity in Properties C-12 Chapter 4 Chemical Bonding and Molecular Structure C-15 Chapter 5 States of Matter C-23 Chapter 6 Thermodynamics C-26 Chapter 7 Equilibrium C-34 Chapter 8 s-Block Elements C-43 Chapter 9 Organic Chemistry—Some Basic Principles and Techniques C-46 Chapter 10 Hydrocarbons C-55 Chapter 11 The Solid State and Surface Chemistry C-61 Chapter 12 Solutions C-67 Chapter 13 Electrochemistry C-74 Chapter 14 Chemical Kinetics and Nuclear Chemistry C-82 Chapter 15 General Principles and Processes of Isolation of Elements C-91 Chapter 16 p-Block Elements C-93 Chapter 17 The d- and f-block Elements and Coordination Compounds C-102 Chapter 18 Haloalkanes and Haloarenes C-113 Chapter 19 Alcohols, Phenols, and Ethers C-117 Chapter 20 Aldehydes, Ketones, and Carboxylic Acids C-123 Chapter 21 Compounds Containing Nitrogen C-127 A01_JEE-PHYSICS_XXXX_FM.indd 4 8/5/2016 2:08:00 PM Contents | v Chapter 22 Carbohydrates, Amino Acids, and Polymers C-130 Chapter 23 Analytical Chemistry C-135 Test Paper 1 C-137 Test Paper 2 C-145 Test Paper 3 C-153 Test Paper 4 C-161 Test Paper 5 C-170 Test Paper 6 C-178 Test Paper 7 C-186 Test Paper 8 C-193 Test Paper 9 C-200 Test Paper 10 C-208 JEE Main 2016 C-217 Mathematics Chapter 1 Set and Relation M-1 Chapter 2 Quadratic Equation M-3 Chapter 3 Sequence and Series M-9 Chapter 4 Permutation and Combination M-13 Chapter 5 Binomial Theorem M-17 Chapter 6 Complex Number M-22 Chapter 7 Matrices and Determinant M-28 Chapter 8 Probability M-36 Chapter 9 Mathematical Reasoning M-44 Chapter 10 Statistics M-47 Chapter 11 Trigonometric Ratio and Identities M-52 Chapter 12 Trigonometric Equation M-56 Chapter 13 Solution of Triangle M-59 Chapter 14 Heights and Distances M-62 Chapter 15 Inverse Trigonometry M-64 Chapter 16 Straight Line M-67 Chapter 17 Circles M-75 Chapter 18 Parabola M-81 Chapter 19 Ellipse M-84 Chapter 20 Hyperbola M-87 Chapter 21 Vector M-89 A01_JEE-PHYSICS_XXXX_FM.indd 5 8/5/2016 2:08:01 PM vi | Contents Chapter 22 Three-dimensional Geometry M-98 Chapter 23 Function M-108 Chapter 24 Limit of Function M-112 Chapter 25 Continuity and Derivability M-116 Chapter 26 Differentiation M-121 Chapter 27 Application of Derivatives M-124 Chapter 28 Indefinite Integration M-131 Chapter 29 Definite Integration M-134 Chapter 30 Area Under Curve M-142 Chapter 31 Differential Equations M-147 Test Paper 1 M-153 Test Paper 2 M-161 Test Paper 3 M-169 Test Paper 4 M-177 Test Paper 5 M-185 Test Paper 6 M-193 Test Paper 7 M-202 Test Paper 8 M-209 Test Paper 9 M-217 Test Paper 10 M-226 JEE Main 2016 M-235 A01_JEE-PHYSICS_XXXX_FM.indd 6 8/5/2016 2:08:01 PM PrefaCe This combined volume has been designed to help aspirants of JEE Main crack the most challenging topics with ease. Each subject has been divided into three sections: Chapters, sample tests and the latest solved paper, to help students master the concepts, syllabus and latest pattern of questions. The authors have used a simple approach to enable better understanding and retention. We hope that this book will be well received and appreciated by students community. Though we have taken utmost care to make this book error free, feedback would be much appreciated. Readers are requested to mail their queries to: For Physics: [email protected] For Chemistry: [email protected] For Mathematics: [email protected] Bhupender Sudan Shivanand Upadhyay and Neha Joshi Upadhyay Bhupinder Singh Tomar and Hansa Soni Tomar A01_JEE-PHYSICS_XXXX_FM.indd 7 8/5/2016 2:08:01 PM This page is intentionally left blank A01_JEE-PHYSICS_XXXX_FM.indd 8 8/5/2016 2:08:01 PM Chapter-wise Solutions: Jee Main Physics Part opener--Physics.indd 1 8/9/2016 4:11:24 PM