Fluids, Waves and Optics
- ISBN-10
- 1546749713
- ISBN-13
- 9781546749714
- Pages
- 278
- Language
- English
- Published
- 2017-06-03
- Publisher
- Createspace Independent Publishing Platform
- Author
- Roger Moore
Description
This material was developed for the first-year calculus-based, introductory physics courses at the University of Alberta. It contains a richer, more in-depth mathematical treatment of the material than many standard texts for first-year courses and starts with the assumption that the reader is already familiar with basic Newtonian mechanics, the calculus of polynomials and trigonometric and exponential functions. The book has the following chapters each of which has its own end of chapter problems: Mathematics - Small angle approximations, complex numbers, complex exponentials, partial derivatives, experimental uncertainties. Elasticity - Stress, strain, moduli of elasticity, bulk stress, strain and modulus Fluid Statics - pressure, Pascal's law, measuring pressures, Archimedes' principle Fluid Dynamics - continuity equation, Bernoulli's equation, Torricelli's law, viscosity, Poiseuille's law, Stokes' law Simple Oscillations - simple harmonic motion, mass-spring systems, simple and compound pendulums Damped and Driven Oscillations - damped harmonic motion, damping ratio, driven oscillators, resonance Waves - types of waves, mathematical description of a wave, waves on a string, acoustic waves, wave power and intensity Wave Phenomena - principle of superposition, reflection at a boundary, interference, beats, standing waves, the relativistic and non-relativistic doppler effect, shock waves Optics - laws of reflection and refraction, spherical mirrors, thin lenses Optical Instruments - lensmaker's equation, compound microscope, simple telescope, spherical and chromatic aberrations Light Waves - Huyghens' principle, dispersion, polarization, thin film interference, diffraction, diffraction gratings Introduction to Quantum Mechanics - atomic spectra, blackbody spectrum, photoelectric effect, Bohr atom, de Broglie wavelength, Schrodinger equation In addition, there are two appendices which cover some of the more mathematically challenging topics in detail: Wave Equations - derivation and general solution of the partial differential wave equation, derivation of the pressure and displacement wave equation for acoustic waves Blackbody Spectrum - 2D and 3D standing waves, density of states for a cavity, calculation of Planck's spectrum, derivation of Wien's displacement law
