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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