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Solution Manual to Concepts of Physics by H C Verma



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Solution Manual to Concepts of Physics written by H. C. Verma , PhD, Department of Physics, IIT, Kanpur, India. Excellent books exist on physics at an introductory college level so why a new one ? Why so many books exist at the same level, in the first place, and why each of them is highly appreciated. It is because each of these books has the previlege of having an author or authors who have experienced physics and have their own method of communicating with the students. During my years as a physics teacher, I have developed a somewhat different methodology of presenting physics to the students. Concepts of Physics is a translation of this methodology into a textbook.
The book presents a calculus-based physics course which makes free use of algebra, trigonometry and co-ordinate geometry. The level of the latter three topics is quite simple and high school mathematics is sufficient. Calculus is generally done at the introductory college level and I have assumed that the student is enrolled in a concurrent first calculus course. The relevant portions of calculus have been discussed in Chapter-2 so that the student may start using it from the beginning. Almost no knowledge of physics is a prerequisite. I have attempted to start each topic from the zero level. A receptive mind is all that is needed to use this book.
Basic philosophy of the book. The motto underlying the book is physics is enjoyable. Being a description of the nature around us, physics is our best friend from the day of our existence. I have extensively used this aspect of physics to introduce the physical principles starting with common clay occurrences and examples. The subject then appears to be friendly and enjoyable. I have taken care that numerical values of different quantities used in problems correspond to real situations to further strengthen this approach. cover the following topics.


Solution Manual to Concepts of Physics written by H. C. Verma cover the following topics.


  • 1. Introduction to Physics
    1.1 What Is Physics ?
    1.2 Physics and Mathematics
    1.3 Units
    1.4 Definitions of Base Units
    1.5 Dimension
    1.6 Uses of Dimension
    1.7 Order of Magnitude
    1.8 The Structure of World
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 2. Physics and Mathematics
    2.1 Vectors and Scalars
    2.2 Equality of Vectors
    2.3 Addition of Vectors
    2.4 Multiplication of a Vector by a Number
    2.5 Subtraction of Vectors
    2.6 Resolution of Vectors
    2.7 Dot Product or Scalar Proudct of Two Vectors
    2.8 Cross Product or Vector Product of Two Vectors dy
    2.9 Differential Calculus • as Rate Measurer • dx
    2.10 Maxima and Minima
    2.11 Integral Calculus
    2.12 Significant Digits
    2.13 Significant Digits in Calculations
    2.14 Errors in Measurement
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 3. Rest and Motion : Kinematics
    3.1 Rest and Motion
    3.2 Distance and Displacement
    3.3 Average Speed and Instantaneous Speed
    3.4 Average Velocity and Instantaneous Velocity
    3.5 Average Acceleration and Instantaneous Acceleration
    3.6 Motion in a Straight Line
    3.7 Motion in a Plana
    3.8 Projectile. Motion
    3.9 Change of Frame
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 4. The Forces
    4.1 Introduction
    4.2 Gravitational Force
    4.3 Electromagnetic (EM) Force
    4.4 Nuclear Forces
    4.5 Weak Forces
    4.6 Scope of Classical Physics
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 5. Newton's Laws of Motion
    5.1 First Law of Motion
    5.2 Second Law of Motion
    5.3 Working with Newton's First and Second Law
    5.4 Newton's Third Law of Motion
    5.5 Pseudo Forces
    5.6 The Horse and the Cart
    5.7 Inertia
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 6. Friction
    6.1 Friction as the Component of Contact Force
    6.2 Kinetic Friction
    6.3 Static Friction
    6.4 Laws of Friction
    6.5 Understanding Friction at Atomic Level
    6.6 A Laboratory Method to Measure
    Friction Coefficient
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 7. Circular Motion
    7.1 Angular Variables
    7.2 Unit Vectors along the Radius and the Tangent
    7.3 Acceleration in Circular Motion
    7.4 Dynamics of Circular Motion
    7.5 Circular Turnings and Banking of Roads
    7.6 Centrifugal Force
    7.7 Effect of Earth's Rotation on Apparent Weight
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 8. Work and Energy
    8.1 Kinetic Energy
    8.2 Work and Work-energy Theorem
    8.3 Calculation of Work Done
    8.4 Work-energy Theorem for a System of Particles
    8.5 Potential Energy
    8.6 Conservative and Nonconservative Forces
    8.7 Definition of Potential Energy and
    8.8 Change in the Potential Energy in a Rigid-body-motion
    8.9 Gravitational Potential Energy
    8.10 Potential Energy of a Compressed or Exercises
    8.11 Different Forms of Energy : Mass Energy, Equivalence Gravitation
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 9. Centre of Mass, Linear Momentum, Collision
    9.1 Centre of Mass
    9.2 Centre of Mass of Continuous Bodies
    9.3 Motion of the Centre of Mass
    9.4 Linear Momentum and its Conservation Principle
    9.5 Rocket Propulsion
    9.6 Collision
    9.7 Elastic Collision in One Dimension
    9.8 Perfectly Inelastic Collision in One Dimension
    9.9 Coefficient of Restitution
    9.10 Elastic Collision in Two Dimensions
    9.11 Impulse and Impulsive Force
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 10. Rotational Mechanics
    10.1 Rotation of a Rigid Body
    10.2 Kinematics
    10.3 Rotational Dynamics
    10.4 Torque of a Force about the Axis of Rotation
    10.5 r = /a
    10.6 Bodies in Equilibrium
    10.7 Bending of a Cyclist on a Horizontal Turn
    10.8 Angular Momentum
    10.9 L= 10
    10.10 Conservation of Angular Momentum
    10.11 Angular Impulse
    10.12 Kinetic Energy of a Rigid Body
    10.13 Power Delivered and Work Done by a Torque
    10.14 Calculation of Moment of Inertia
    10.15 Two Important Theorems on Moment of Inertia
    10.16 Combined Rotation and Translation
    10.17 Rolling
    10.18 Kinetic Energy of a Body in Combined
    10.19 Angular Momentum of a Body in Combined Rotation and Translation
    10.20 Why Does a Rolling Sphere Slow Down ?
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 11. Gravitation
    11.1 Historical Introduction
    11.2 Measurement of Gravitational Constant G
    11.3 Gravitational Potential Energy
    11.4 Gravitational Potential
    11.5 Calculation of Gravitational Potential
    11.6 Gravitational Field
    11.7 Relation between Gravitational Field and Potential
    11.8 Calculation of Gravitational Field
    11.9 Variation in the Value of g
    11.10 Planets and Satellites
    11.11 Kepler's Laws
    11.12 Weightlessness in a Satellite
    11.13 Escape Velocity
    11.14 Gravitational Binding Energy
    11.15 Black Holes
    11.16 Inertial and Gravitational Mass
    11.17 Possible Changes in the Law of Gravitation
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 12. Simple Harmonic Motion
    12.1 Simple Harmonic Motion
    12.2 Qualitative Nature of Simple Harmonic Motion
    12.3 Equation of Motion of a Simple Harmonic Motion
    12.4 Terms Associated with Simple Harmonic Motion
    12.5 Simple Harmonic Motion as a Projection of Circular Motion
    12.6 Energy Conservation in Simple Harmonic Motion
    12.7 Angular Simple Harmonic Motion
    12.8 Simple Pendulum
    12.9 Physical Pendulum
    12.10 Torsional Pendulum
    1,2.11 Composition of Two Simple Harmonic Motions
    12.12 Damped Harmonic Motion
    12.13 Forced Oscillation and Resonance
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 13. Fluid Mechanics
    13.1 Fluids
    13.2 Pressure in a Fluid
    13.3 Pascal's Law
    13.4 Atmospheric Pressure and Barometer
    13.5 Archimedes' Principle
    13.6 Pressure Difference and Buoyant Force in Accelerating Fluids
    13.7 Flow of Fluids
    13.8 Steady and Turbulent Flow
    13.9 Irrotational Flow of an Incompressible and Nonviscous Fluid
    13.10 Equation of Continuity
    13.11 Bernoulli's Equation
    13.12 Applications of Bernoulli's Equation
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 14. Some Mechanical Properties of Matter
    14.1 Molecular Structure of a Material
    14.2 Elasticity
    14.3 Stress
    14.4 Strain
    14.5 Hooke's Law and the Modulii of Elasticity
    14.6 Relation between Longitudinal Stress and Strain
    14.7 Elastic Potential Energy of a Strained Body
    14.8 Determination of Young's Modulus in Laboratory
    14.9 Surface Tension
    14.10 Surface Energy
    14.11 Excess Pressure Inside a Drop
    14.12 Excess Pressure/ in a Soap Bubble
    14.13 Contact Angle
    14.14 Rise of Liquid in a Capillary Tube
    14.15 Viscosity
    14.16 Flow through a Narrow Tube : Poiseuille's Equation
    14.17 Stokes' Law
    14.18 Terminal Velocity
    14.19 Measuring Coefficient of Viscosity by Stokes' Method
    14.20 Critical Velocity and Reynolds Number Worked Out Examples
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 15. Wave Motion and Waves on a String
    15.1 Wave Motion
    15.2 Wave Pulse on a String
    15.3 Sine Wave Travelling on a String
    15.4 Velocity of a Wave on a String
    15.5 Power Transmitted along the String by a Sine Wave
    15.6 Interference and the Principle of Superposition
    15.7 Interference of Waves Going in Same Direction
    15.8 Reflection and Transmission of Waves
    15.9 Standing Waves
    15.10 Standing Waves on a String Fixed at Both Ends (Qualitative Discussion)
    15.11 Analytic Treatment of Vibration of a String Fixed at Both Ends
    15.12 Vibration of a String Fixed at One End
    15.13 Laws of Transverse Vibrations of a String : Sonometer
    15.14 Transverse and Longitudinal Waves
    15.15 Polarization of Waves
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 16. Sound Waves
    16.1 The Nature and Propagation of Sound Waves
    16.2 Displacement Wave and Pressure Wave
    16.3 Speed of a Sound Wave in a Material Medium
    16.4 Speed of Sound in a Gas : Newton's Formula and Laplace's Correction
    16.5 Effect of Pressure, Temperature and Humidity on the Speed of Sound in Air
    16.6 Intensity of Sound Waves
    16.7 Appearance of Sound to Human Ear
    16.8 Interference of Sound Waves
    16.9 Standing Longitudinal Waves and Vibrations of Air Columns
    16.10 Determination of Speed of Sound in Air
    16.11 Beats
    16.12 Diffraction
    16.13 Doppler Effect
    16.14 Sonic Booms
    16.15 Musical Scale
    16.16 Acoustics of Buildings
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 17. Light Waves
    17.1 Waves or l'articles
    17.2 The Nature of ,Light Waves
    17.3 Hiiygens' Principle
    17.4 Young's Double Hole Experiment
    17.5 Young's Double Slit Experiment
    17.6 Optical Path
    17.7 Interference from Thin Films
    17.8 Fresnel's Biprism
    17.9 Coherent and Incoherent Sources
    17.10 Diffraction of Light
    17.11 Fraunhofer Diffraction by a Single Slit
    17.12 Fraunhofer Diffraction by a Circular Aperture
    17.13 Fresnel Diffraction at a Straight Edge
    17.14 Limit of Resolution
    17.15 Scattering of Light
    17.16 Polarization of Light
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 18. Geometrical Optics
    18.1 Reflection at Smooth Surfaces
    18.2 Spherical Mirrors
    18.3 Relation Between u, v and R for Spherical Mirrors
    18.4 Extended Objects and Magnification
    18.5 Refraction at Plane Surfaces
    18.6 Critical Angle 389 Questions for Short Answer
    18.7 Optical Fibre 389 Objective I
    18.8 Prism 390 Objective II
    18.9 Refraction at Spherical Surfaces
    18.10 Extended Objects : Lateral Magnification
    18.11 Refraction through Thin Lenses
    18.12 Lens Maker's Formula and Lens Formula
    18.13 Extended Objects : Lateral Magnification
    18.14 Power of a Lens
    18.15 Thin Lenses in Contact
    18.16 Two Thin Lenses Separated By a Distance
    18.17 Defects of Images
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 19. Optical Instruments
    19.1 The Eye
    19.2 The Apparent Size
    19.3 Simple Microscope
    19.4 Compound Microscope
    19.5 Telescopes
    19.6 Resolving Power of a Microscope and a Telescope
    19.7 Defects of Vision
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 20. Dispersion and Spectra
    20.1 Dispersion
    20.2 Dispersive Power
    20.3 Dispersion without Average Deviation and Average Deviation without Dispersion
    20.4 Spectrum
    20.5 Kinds of Spectra
    20.6 Ultraviolet and Infrared Spectrum
    20.7 Spectrometer
    20.8 Rainbow
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 21. Speed of Light
    21.1 Historical Introduction
    21.2 Fizeau Method
    21.3 Foucault Method
    21.4 Michelson Method
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

  • 22. Photometry
    22.1 Total Radiant Flux
    22.2 Luminosity of Radiant Flux
    22.3 Luminous Flux : Relative Luminosity
    22.4 Luminous Efficiency
    22.5 Luminous Intensity or Illuminating Power
    22.6 Illuminance
    22.7 Inverse Square Law
    22.8 Lambert's Cosine Law
    22.9 Photometers
    Worked Out Examples, Questions for Short Answer, Objective I, Objective II, Exercises

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