University Physics 1st edition

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Wolfgang Bauer and Gary Westfall
Publisher: McGraw-Hill Education

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  • Chapter 1: Overview
    • 1.1: Why Study Physics?
    • 1.2: Working with Numbers (6)
    • 1.3: SI Unit System (7)
    • 1.4: The Scales of Our World (7)
    • 1.5: General Problem-Solving Strategy (8)
    • 1.6: Vectors (15)
    • 1: Additional Problems (26)

  • Chapter 2: Motion in a Straight Line
    • 2.1: Introduction to Kinematics
    • 2.2: Position Vector, Displacement Vector, and Distance (2)
    • 2.3: Velocity Vector, Average Velocity, and Speed (8)
    • 2.4: Acceleration Vector (7)
    • 2.5: Computer Solutions and Difference Formulas (1)
    • 2.6: Finding Displacement and Velocity from Acceleration (7)
    • 2.7: Motion with Constant Acceleration (24)
    • 2.8: Reducing Motion in More than One Dimension to One Dimension
    • 2: Additional Problems (25)

  • Chapter 3: Motion in Two and Three Dimensions
    • 3.1: Three-Dimensional Coordinate Systems
    • 3.2: Velocity and Acceleration in a Plane (6)
    • 3.3: Ideal Projectile Motion (13)
    • 3.4: Maximum Height and Range of a Projectile (8)
    • 3.5: Realistic Projectile Motion (1)
    • 3.6: Relative Motion (7)
    • 3: Additional Problems (29)

  • Chapter 4: Force
    • 4.1: Types of Force
    • 4.2: Gravitational Force Vector, Weight, and Mass (1)
    • 4.3: Net Force
    • 4.4: Newton's Laws (7)
    • 4.5: Ropes and Pulleys (6)
    • 4.6: Applying Newton's Laws (14)
    • 4.7: Friction Force (5)
    • 4.8: Applications of the Friction Force (9)
    • 4: Additional Problems (27)

  • Chapter 5: Kinetic Energy, Work, and Power
    • 5.1: Energy in Our Daily Lives
    • 5.2: Kinetic Energy (7)
    • 5.3: Work
    • 5.4: Work Done by a Constant Force (12)
    • 5.5: Work Done by a Variable Force (4)
    • 5.6: Spring Force (4)
    • 5.7: Power (9)
    • 5: Additional Problems (18)

  • Chapter 6: Potential Energy and Energy Conservation
    • 6.1: Potential Energy (4)
    • 6.2: Conservative and Nonconservative Forces
    • 6.3: Work and Potential Energy (3)
    • 6.4: Potential Energy and Force (3)
    • 6.5: Conservation of Mechanical Energy (7)
    • 6.6: Work and Energy for the Spring Force (5)
    • 6.7: Nonconservative Forces and the Work-Energy Theorem (10)
    • 6.8: Potential Energy and Stability (3)
    • 6: Additional Problems (27)

  • Chapter 7: Momentum and Collisions
    • 7.1: Linear Momentum (5)
    • 7.2: Impulse (10)
    • 7.3: Conservation of Linear Momentum (7)
    • 7.4: Elastic Collisions in One Dimension (9)
    • 7.5: Elastic Collisions in Two or Three Dimensions (6)
    • 7.6: Totally Inelastic Collisions (8)
    • 7.7: Partially Inelastic Collisions (7)
    • 7.8: Billiards and Chaos
    • 7: Additional Problems (34)

  • Chapter 8: Systems of Particles and Extended Objects
    • 8.1: Center of Mass and Center of Gravity (3)
    • 8.2: Center-of-Mass Momentum (9)
    • 8.3: Rocket Motion (6)
    • 8.4: Calculating the Center of Mass (7)
    • 8: Additional Problems (22)

  • Chapter 9: Circular Motion
    • 9.1: Polar Coordinates
    • 9.2: Angular Coordinates and Angular Displacement (3)
    • 9.3: Angular Velocity, Angular Frequence, and Period (6)
    • 9.4: Angular and Centripetal Acceleration (10)
    • 9.5: Centripetal Force (10)
    • 9.6: Circular and Linear Motion
    • 9.7: More Examples for Circular Motion
    • 9: Additional Problems (22)

  • Chapter 10: Rotation
    • 10.1: Kinetic Energy of Rotation (7)
    • 10.2: Calculation of Moment of Inertia
    • 10.3: Rolling without Slipping (2)
    • 10.4: Torque (3)
    • 10.5: Newton's Second Law for Rotation (8)
    • 10.6: Work Done by a Torque (2)
    • 10.7: Angular Momentum (7)
    • 10.8: Precession (1)
    • 10.9: Quantized Angular Momentum
    • 10: Additional Problems (17)

  • Chapter 11: Static Equilibrium
    • 11.1: Equilibrium Conditions (10)
    • 11.2: Examples Involving Static Equilibrium (14)
    • 11.3: Stability of Structures (14)
    • 11: Additional Problems (16)

  • Chapter 12: Gravitation
    • 12.1: Newton's Law of Gravity (7)
    • 12.2: Gravitation near the Surface of the Earth (5)
    • 12.3: Gravitation inside the Earth
    • 12.4: Gravitational Potential Energy (9)
    • 12.5: Kepler's Laws and Planetary Motion (4)
    • 12.6: Satellite Orbits (8)
    • 12.7: Dark Matter
    • 12: Additional Problems (18)

  • Chapter 13: Solids and Fluids
    • 13.1: Atoms and the Composition of Matter (2)
    • 13.2: States of Matter
    • 13.3: Tension, Compression, and Shear (5)
    • 13.4: Pressure (9)
    • 13.5: Archimedes' Principle (10)
    • 13.6: Ideal Fluid Motion (7)
    • 13.7: Viscosity (2)
    • 13.8: Turbulence and Research Frontiers in Fluid Flow
    • 13: Additional Problems (19)

  • Chapter 14: Oscillations
    • 14.1: Simple Harmonic Motion (10)
    • 14.2: Pendulum Motion (8)
    • 14.3: Work and Energy in Harmonic Oscillations (7)
    • 14.4: Damped Harmonic Motion (7)
    • 14.5: Forced Harmonic Motion and Resonance (3)
    • 14.6: Phase Space
    • 14.7: Chaos
    • 14: Additional Problems (18)

  • Chapter 15: Waves
    • 15.1: Wave Motion (5)
    • 15.2: Coupled Oscillators
    • 15.3: Mathematical Description of Waves
    • 15.4: Derivation of the Wave Equation (10)
    • 15.5: Waves in Two- and Three-Dimensional Spaces (2)
    • 15.6: Energy, Power, and Intensity of Waves (3)
    • 15.7: Superposition Principle and Interference (11)
    • 15.8: Standing Waves and Resonance
    • 15.9: Research on Waves
    • 15: Additional Problems (19)

  • Chapter 16: Sound
    • 16.1: Longitudinal Pressure Waves (5)
    • 16.2: Sound Intensity (6)
    • 16.3: Sound Interference (6)
    • 16.4: Doppler Effect (9)
    • 16.5: Resonance and Music (6)
    • 16: Additional Problems (17)

  • Chapter 17: Temperature
    • 17.1: Definition of Temperature (8)
    • 17.2: Temperature Ranges
    • 17.3: Measuring Temperature
    • 17.4: Thermal Expansion (23)
    • 17.5: Surface Temperature of the Earth
    • 17.6: Temperature of the Universe
    • 17: Additional Problems (19)

  • Chapter 18: Heat and the First Law of Thermodynamics
    • 18.1: Definition of Heat
    • 18.2: Mechanical Equivalent of Heat (3)
    • 18.3: Heat and Work
    • 18.4: First Law of Thermodynamics (1)
    • 18.5: First Law for Special Processes
    • 18.6: Specific Heats of Solids and Fluids (9)
    • 18.7: Latent Heat and Phase Transitions (9)
    • 18.8: Modes of Thermal Energy Transfer (11)
    • 18: Additional Problems (17)

  • Chapter 19: Ideal Gases
    • 19.1: Empirical Gas Laws (5)
    • 19.2: Ideal Gas Law (11)
    • 19.3: Equipartition Theorem (6)
    • 19.4: Specific Heat of an Ideal Gas (6)
    • 19.5: Adiabatic Processes for an Ideal Gas (7)
    • 19.6: Kinetic Theory of Gases (5)
    • 19: Additional Problems (16)

  • Chapter 20: The Second Law of Thermodynamics
    • 20.1: Reversible and Irreversible Processes
    • 20.2: Engines and Refrigerators (6)
    • 20.3: Ideal Engines (7)
    • 20.4: Real Engines and Efficiency (6)
    • 20.5: The Second Law of Thermodynamics (10)
    • 20.6: Entropy
    • 20.7: Microscopic Interpretation of Entropy
    • 20: Additional Problems (18)

  • Chapter 21: Electrostatics
    • 21.1: Electromagnetism
    • 21.2: Electric Charge (7)
    • 21.3: Insulators, Conductors, Semiconductors, and Superconductors (1)
    • 21.4: Electrostatic Charging
    • 21.5: Electrostatic Force - Coulomb's Law (21)
    • 21.6: Coulomb's Law and Newton's Law of Gravitation (6)
    • 21: Additional Problems (21)

  • Chapter 22: Electric Fields and Gauss's Law
    • 22.1: Definition of an Electric Field
    • 22.2: Field Lines
    • 22.3: Electric Field due to Point Charges (6)
    • 22.4: Electric Field due to a Dipole (2)
    • 22.5: General Charge Distributions (7)
    • 22.6: Force due to an Electric Field (8)
    • 22.7: Electric Flux (8)
    • 22.8: Gauss's Law
    • 22.9: Special Symmetries (15)
    • 22: Additional Problems (17)

  • Chapter 23: Electric Potential
    • 23.1: Electric Potential Energy (2)
    • 23.2: Definition of Electric Potential (7)
    • 23.3: Equipotential Surfaces and Lines
    • 23.4: Electric Potential of Various Charge Distributions (14)
    • 23.5: Finding the Electric Field from the Electric Potential (10)
    • 23.6: Electric Potential Energy of a System of Point Charges (5)
    • 23: Additional Problems (23)

  • Chapter 24: Capacitors
    • 24.1: Capacitance
    • 24.2: Circuits
    • 24.3: Parallel Plate Capacitor (7)
    • 24.4: Cylindrical Capacitor
    • 24.5: Spherical Capacitor
    • 24.6: Capacitors in Circuits (9)
    • 24.7: Energy Stores in Capacitors (8)
    • 24.8: Capacitors with Dielectrics (11)
    • 24.9: Microscopic Perspective on Dielectrics
    • 24: Additional Problems (22)

  • Chapter 25: Current and Resistance
    • 25.1: Electric Current (4)
    • 25.2: Current Density
    • 25.3: Resistivity and Resistance (8)
    • 25.4: Electromotive Force and Ohm's Law (4)
    • 25.5: Resistors in Series (4)
    • 25.6: Resistors in Parallel (7)
    • 25.7: Energy and Power in Electric Circuits (9)
    • 25.8: Diodes: One-Way Streets in Circuits
    • 25: Additional Problems (20)

  • Chapter 26: Direct Current Circuits
    • 26.1: Kirchhoff's Rules (12)
    • 26.2: Single-Loop Circuits
    • 26.3: Multiloop Circuits
    • 26.4: Ammeters and Voltmeters (6)
    • 26.5: RC Circuits (13)
    • 26: Additional Problems (18)

  • Chapter 27: Magnetism
    • 27.1: Permanent Magnets
    • 27.2: Magnetic Force (5)
    • 27.3: Motion of Charged Particles in a Magnetic Field (11)
    • 27.4: Magnetic Force on a Current-Carrying Wire (7)
    • 27.5: Torque on a Current-Carrying Loop (9)
    • 27.6: Magnetic Dipole Moment
    • 27.7: Hall Effect (2)
    • 27: Additional Problems (18)

  • Chapter 28: Magnetic Fields of Moving Charges
    • 28.1: Biot-Savart Law (16)
    • 28.2: Magnetic Fields due to Current Distributions
    • 28.3: Ampere's Law (8)
    • 28.4: Magnetic Fields of Solenoids and Toroids (6)
    • 28.5: Atoms as Magnets (8)
    • 28.6: Magnetic Properties of Matter
    • 28.7: Magnetism and Superconductivity
    • 28: Additional Problems (21)

  • Chapter 29: Electromagnetic Induction
    • 29.1: Faraday's Experiments (7)
    • 29.2: Faraday's Law of Induction
    • 29.3: Lenz's Law (8)
    • 29.4: Generators and Motors (3)
    • 29.5: Induced Electric Field
    • 29.6: Inductance of a Solenoid (3)
    • 29.7: Self-Inductance and Mutual Induction
    • 29.8: RL Circuits (6)
    • 29.9: Energy and Energy Density of a Magnetic Field (7)
    • 29.10: Applications to Information Technology
    • 29: Additional Problems (20)

  • Chapter 30: Electromagnetic Oscillations and Currents
    • 30.1: LC Circuits (6)
    • 30.2: Analysis of LC Oscillations
    • 30.3: Damped Oscillations in an RLC Circuit (4)
    • 30.4: Driven AC Circuits (3)
    • 30.5: Series RLC Circuit (10)
    • 30.6: Energy and Power in AC Circuits (6)
    • 30.7: Transformers (4)
    • 30.8: Rectifiers (2)
    • 30: Additional Problems (19)

  • Chapter 31: Electromagnetic Waves
    • 31.1: Induced Magnetic Fields (3)
    • 31.2: Displacement Current (3)
    • 31.3: Maxwell's Equations
    • 31.4: Wave Solutions to Maxwell's Equations
    • 31.5: The Speed of Light (5)
    • 31.6: The Electromagnetic Spectrum (4)
    • 31.7: Traveling Electromagnetic Waves
    • 31.8: Poynting Vector and Energy Transport (8)
    • 31.9: Radiation Pressure (7)
    • 31.10: Polarization (4)
    • 31.11: Derivation of the Wave Equation
    • 31: Additional Problems (21)

  • Chapter 32: Geometric Optics
    • 32.1: Light Rays and Shadows
    • 32.2: Reflection and Plane Mirrors (4)
    • 32.3: Curved Mirrors (7)
    • 32.4: Refraction and Snell's Law (11)
    • 32: Additional Problems (16)

  • Chapter 33: Lenses and Optical Instruments
    • 33.1: Lenses (8)
    • 33.2: Magnifier (4)
    • 33.3: Systems of Two of More Optical Elements (7)
    • 33.4: Human Eye (8)
    • 33.5: Camera (4)
    • 33.6: Microscope (5)
    • 33.7: Telescope (8)
    • 33.8: Laser Tweezers
    • 33: Additional Problems (25)

  • Chapter 34: Wave Optics
    • 34.1: Light Waves (2)
    • 34.2: Interference (6)
    • 34.3: Double-Slit Interference
    • 34.4: Thin-Film Interference and Newton's Rings (7)
    • 34.5: Interferometer (3)
    • 34.6: Diffraction (4)
    • 34.7: Single-Slit Diffraction
    • 34.8: Diffraction by a Circular Opening (5)
    • 34.9: Double-Slit Diffraction (4)
    • 34.10: Gratings (4)
    • 34.11: X-Ray Diffraction and Crystal Structure (1)
    • 34: Additional Problems (19)

  • Chapter 35: Relativity
    • 35.1: Search for the Aether (4)
    • 35.2: Einstein's Postulates and Reference Frames
    • 35.3: Time Dilation and Length Contraction (9)
    • 35.4: Relativistic Frequency Shift (5)
    • 35.5: Lorentz Transformation (7)
    • 35.6: Relativistic Velocity Transformation
    • 35.7: Relativistic Momentum and Energy (11)
    • 35.8: General Relativity (4)
    • 35.9: Relativity in Our Daily Lives: GPS
    • 35: Additional Problems (20)

  • Chapter 36: Quantum Physics
    • 36.1: The Nature of Matter, Space, and Time
    • 36.2: Blackbody Radiation (7)
    • 36.3: Photoelectric Effect (7)
    • 36.4: Compton Scattering (6)
    • 36.5: Matter Waves (8)
    • 36.6: Uncertainty Relation (6)
    • 36.7: Spin
    • 36.8: Spin and Statistics (3)
    • 36: Additional Problems (19)

  • Chapter 37: Quantum Mechanics
    • 37.1: Wave Function (2)
    • 37.2: Schrodinger Equation
    • 37.3: Infinite Potential Well (6)
    • 37.4: Finite Potential Wells (9)
    • 37.5: Harmonic Oscillator (6)
    • 37.6: Wave Functions and Measurements (4)
    • 37.7: Correspondence Principle
    • 37.8: Time-Dependent Schrodinger Equation (4)
    • 37.9: Many-Particle Wave Function
    • 37.10: Antimatter (2)
    • 37: Additional Problems (17)

  • Chapter 38: Atomic Physics
    • 38.1: Spectral Lines (4)
    • 38.2: Bohr's Model of the Atom (8)
    • 38.3: Hydrogen Electron Wave Function (7)
    • 38.4: Other Atoms (6)
    • 38.5: Lasers (4)
    • 38: Additional Problems (17)

  • Chapter 39: Elementary Particle Physics
    • 39.1: Reductionism
    • 39.2: Probing Substructure (9)
    • 39.3: Elementary Particles (7)
    • 39.4: Extensions of the Standard Model
    • 39.5: Composite Particles (3)
    • 39.6: Big Bang Cosmology (6)
    • 39: Additional Problems (16)

  • Chapter 40: Nuclear Physics
    • 40.1: Nuclear Properties (5)
    • 40.2: Nuclear Decay (14)
    • 40.3: Nuclear Models (2)
    • 40.4: Nuclear Energy: Fission and Fusion (7)
    • 40.5: Nuclear Astrophysics (3)
    • 40.6: Nuclear Medicine (4)
    • 40: Additional Problems (20)

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Group Quantity Questions
Chapter 1: Overview
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Chapter 2: Motion in a Straight Line
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Chapter 3: Motion in Two and Three Dimensions
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Chapter 4: Force
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Chapter 5: Kinetic Energy, Work, and Power
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Chapter 6: Potential Energy and Energy Conservation
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Chapter 7: Momentum and Collisions
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Chapter 8: Systems of Particles and Extended Objects
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Chapter 9: Circular Motion
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Chapter 10: Rotation
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Chapter 11: Static Equilibrium
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Chapter 12: Gravitation
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Chapter 13: Solids and Fluids
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Chapter 14: Oscillations
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Chapter 15: Waves
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Chapter 16: Sound
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Chapter 17: Temperature
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Chapter 18: Heat and the First Law of Thermodynamics
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Chapter 19: Ideal Gases
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Chapter 20: The Second Law of Thermodynamics
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Chapter 21: Electrostatics
21.P 56 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081
Chapter 22: Electric Fields and Gauss's Law
22.P 63 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081 082 083 084 085
Chapter 23: Electric Potential
23.P 61 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080
Chapter 24: Capacitors
24.P 57 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081 082 083 084
Chapter 25: Current and Resistance
25.P 56 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081
Chapter 26: Direct Current Circuits
26.P 49 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071
Chapter 27: Magnetism
27.P 52 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071
Chapter 28: Magnetic Fields of Moving Charges
28.P 59 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080
Chapter 29: Electromagnetic Induction
29.P 54 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075
Chapter 30: Electromagnetic Oscillations and Currents
30.P 54 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076
Chapter 31: Electromagnetic Waves
31.P 55 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074
Chapter 32: Geometric Optics
32.P 38 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058
Chapter 33: Lenses and Optical Instruments
33.P 69 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081 082 083 084 085 086 087 088 089 090 091 092 093 094 095 096
Chapter 34: Wave Optics
34.P 55 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073
Chapter 35: Relativity
35.P 60 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081
Chapter 36: Quantum Physics
36.P 56 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074
Chapter 37: Quantum Mechanics
37.P 50 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073
Chapter 38: Atomic Physics
38.P 46 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065
Chapter 39: Elementary Particle Physics
39.P 41 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063
Chapter 40: Nuclear Physics
40.P 55 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076
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