D C Pandey Arihant Understanding Physics for JEE Main and Advanced Mechanics Part 1 2020

637 Pages·2020·23.082 MB·English

by  D C Pandey

Understanding Physics
JEE Main & Advanced
MECHANICS
Volume 1
Understanding Physics
JEE Main & Advanced
MECHANICS
Volume 1
DC PANDEY
[B.Tech, M.Tech, Pantnagar, ID 15722]
ARIHANT PRAKASHAN (Series), MEERUT
Understanding Physics
JEE Main & Advanced
ARIHANT PRAKASHAN (Series), MEERUT
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© SARITA PANDEY
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Understanding Physics
JEE Main & Advanced
PREFACE
The overwhelming response to the previous editions of this book
gives me an immense feeling of satisfaction and I take this an
opportunity to thank all the teachers and the whole student
community who have found this book really beneficial.
In the present scenario of ever-changing syllabus and the test
pattern of JEE Main & Advanced.
The NEW EDITION of this book is an effort to cater all the
difficulties being faced by the students during their preparation of
JEE Main & Advanced. Almost all types and levels of questions
are included in this book. My aim is to present the students a fully
comprehensive textbook which will help and guide them for all
types of examinations. An attempt has been made to remove all
the printing errors that had crept in the previous editions.
I am very thankful to (Dr.) Mrs. Sarita Pandey, Mr. Anoop Dhyani
and Mr. Nisar Ahmad
Comments and criticism from readers will be highly appreciated
and incorporated in the subsequent editions.
DC Pandey
Understanding Physics
JEE Main & Advanced
CONTENTS
1. BASIC MATHEMATICS 1-12
1.1 Basic Mathematics
2. MEASUREMENT AND ERRORS 13-31
2.1 Errors in Measurement and Least Count
2.2 Significant Figures
2.3 Rounding off a Digit
2.4 Algebraic Operations with Significant Figures
2.5 Error Analysis
3. EXPERIMENTS 33-78
3.1 Vernier Callipers
3.2 Screw Gauge
3.3 Determination of ‘g’ using a Simple Pendulum
3.4 Young’s Modulus by Searle’s Method
3.5 Determination of Specific Heat
3.6 Speed of Sound using Resonance Tube
3.7 Verification of Ohm’s Law using Voltmeter and Ammeter
3.8 Meter Bridge Experiment
3.9 Post Office Box
3.10 Focal Length of a Concave Mirror using u-v method
3.11 Focal Length of a Convex Lens using u-v method
Understanding Physics
JEE Main & Advanced
4. UNITS AND DIMENSIONS 79-96
4.1 Units
4.2 Fundamental and Derived Units
4.3 Dimensions
4.4 Uses of Dimensions
5. VECTORS 97-125
5.1 Vector and Scalar Quantities
5.2 General Points regarding Vectors
5.3 Addition and Subtraction of Two Vectors
5.4 Components of a Vector
5.5 Product of Two Vectors
6. KINEMATICS 127-214
6.1 Introduction to Mechanics and Kinematics
6.2 Few General Points of Motion
6.3 Classification of Motion
6.4 Basic Definition
6.5 Uniform Motion
6.6 One Dimensional Motion with Uniform Acceleration
6.7 One Dimensional Motion with Non-uniform Acceleration
6.8 Motion in Two and Three Dimensions
6.9 Graphs
6.10 Relative Motion
7. PROJECTILE MOTION 215-259
7.1 Introduction
7.2 Projectile Motion
7.3 Two Methods of Solving a Projectile Motion
7.4 Time of Flight, Maximum Height and Horizontal Range of a Projectile
7.5 Projectile Motion along an Inclined Plane
7.6 Relative Motion between Two Projectiles
Understanding Physics
JEE Main & Advanced
8. LAWS OF MOTION 261-359
8.1 Types of Forces
8.2 Free Body Diagram
8.3 Equilibrium
8.4 Newton’s Laws of Motion
8.5 Constraint Equations
8.6 Pseudo Force
8.7 Friction
9. WORK, ENERGY AND POWER 361-427
9.1 Introduction to Work
9.2 Work Done
9.3 Conservative and Non-conservative Forces
9.4 Kinetic Energy
9.5 Work-Energy Theorem
9.6 Potential Energy
9.7 Three Types of Equilibrium
9.8 Power of a Force
9.9 Law of Conservation of Mechanical Energy
10. CIRCULAR MOTION 429-476
10.1 Introduction
10.2 Kinematics of Circular Motion
10.3 Dynamics of Circular Motion
10.4 Centrifugal Force
10.5 Motion in a Vertical Circle
Hints & Solutions 477-608
JEE Main & Advanced
Previous Years' Questions (2018-13) 1-18
Understanding Physics
JEE Main & Advanced
SYLLABUS
JEE M ain
Physics and M easurement
Physics, Technology and Society, SI units, Fundamental and derived units, Least count,
Accuracy and Precision of measuring instruments, Errors in measurement, Dimensions of
physical quantities, Dimensional analysis and its applications.
Kinematics
Frame of reference, Motion in a straight line, Position-time graph, Speed and velocity, Uniform
and non-uniform motion, Average speed and instantaneous velocity, Uniformly accelerated
motion, Velocity-time and position-time graphs, Relations for uniformly accelerated motion,
Scalars and Vectors, vectors addition and subtraction, Zero vector, scalar and vector products,
Unit vector, resolution of a vector, Relative velocity, motion in plane, Projectile motion,
Uniform circular motion.
Laws o f M otion
Force and inertia, Newton's first law of motion, Momentum, Newton's second law of motion,
impulse, Newton's third Law of motion, law of conservation of linear momentum and its
applications, Equilibrium of concurrent forces. Static and kinetic friction, Laws of friction,
rolling friction. Dynamics of uniform circular motion, centripetal force and its applications.
Work, Energy a nd P ower
Work done by a constant force and a variable force, Kinetic and potential energies, Work
energy theorem, power. Potential energy of a spring, Conservation of mechanical energy,
Conservative and non-conservative forces, Elastic and inelastic collisions in one and two
dimensions.
Centre of Mass
Centre of mass of a two particle system, Centre of mass of a rigid body.
Experimental Skills
Vernier Callipers and its use to measure internal and external diameter and depth of a vessel.
Screw gauge its use to determine thickness/diameter of thin sheet/wire.
Understanding Physics
JEE Main & Advanced
JEE A dvanced
General Physics
Units and dimensions, Dimensional analysis, Least count, Significant figures,
Methods of measurement and error analysis for physical quantities
pertaining to the following experiments, Experiments based on vernier
callipers and screw gauge (micrometer).
Kinematics
Kinematics in one and two dimensions (Cartesian coordinates only),
Projectiles, Uniform circular motion, Relative velocity.
Laws of Motion
Newton's laws of motion, Inertial and uniformly accelerated frames of
reference, Static and dynamic friction.
Work, Energy and Power
Kinetic and potential energy, Work and power, Conservation of linear
momentum and mechanical energy.
Centre of Mass and Collision
System of particles, Centre of mass and its motion, Impulse, Elastic and
inelastic collisions.