Study Guide for the Final Exam
The final exam will be on Tuesday, May 3, 2005, 10:15 a.m.
- 12:15 p.m. in DC 1019. It will cover most of the material from the course book and will consist of 2 different parts (required and extra credit; see below). Bring a #2 pencil with you to the exam! A calculator can be used.Format of the Final Exam:
Part 1 (required):
30 multiple choice questions; about half of them will be from the latest part of the course (Modern Physics; Chapters 26-30); the other half will contain nearly equal number of questions from Electricity & Magnetism and Light & Optics parts.Part 2 (extra credit; this part is optional; it may give you up to 10% extra credit; 2% for each correctly answered question or correctly solved problem; if you made a calculational mistake, but were on the right track in solving the problem, you will get the full credit):
5 conceptual questions and calculational problems in total for extended answers. I will look at your understanding of the material. Guidelines for the extra credit conceptual questions apply to those at the final exam. The problems solution needs to be shown as completely as possible: write down what is known and what needs to be calculated as well as formulae (with the description of all relevant quantities) and solution steps with the final answer.Suggestions:
Review quizzes, mid-terms, and extra credit conceptual questions.Important Concepts:
Conservation of charge and energy. Conduction and Induction. Electric field and field lines. Direction of the electric current and field. Electric current. Resistivity. Capacitance. Role of dielectrics in capacitors. Dielectric strength. Ohm's Law. Ohmic and non-ohmic materials. Charging capacitors. Kirchhoff's rules. Emf. RC circuits. Magnetic field and magnetic force. Direction of the magnetic field and force. Right hand rules #1 and #2. Magnetic field lines. Magnetic field within a current-carrying wire. Magnetic field within a solenoid. Magnetic flux. Faraday's law of magnetic induction. Motional emf. Lenz's law (polarity of induced emf). Self-induced emf. Inductors. Wavelength and frequency of a wave. Reflection and refraction. Wave front. Huygens' principle. Index of refraction. Total internal reflection. Image formation in flat and spherical (concave and convex) mirrors. Real and virtual images. Focal points. Image formation in thin lenses. Converging and diverging lenses. Sign rules for mirrors and lenses. Combination of lenses (how images are formed in a combination of lenses). Aberrations. Interference (conditions, experiments showing interference). Young's double-slit experiment. Interference fringes. Interference in thin films. Newton rings. Diffraction.
Inertial reference frames. Postulates of relativity. Consequences of relativity (e.g., time dilation, length contraction). Rest energy, relativistic kinetic energy, total energy. Photoelectric effect. Stopping potential. De Broglie wavelength. Uncertainty principle. The Compton effect. Blackbody radiation. Bohr's model of the hydrogen atom. Quantum numbers (principal, orbital, orbital magnetic, and spin). Emission, absorption, and continuous spectra. Atomic transitions and energy levels. Atomic nucleus. Subatomic particles. Atomic number and atomic mass. Radioactive decay. Half-life time. Sizes and densities of different atomic nuclei. Binding energy.
Nuclear reactions.Formulae and Definitions:
Coulomb's Law. Parallel and series combination of resistors and capacitors. Dependence of electric current on the parameters of charge carriers (drift velocity, conductor dimensions, charge density). Gauss' law. Electrical energy and power. Energy stored in a charged capacitor. Time constant in capacitors. Dependence of charge on the capacitor and current in the circuit on time in RC circuits. Magnetic field on a charged particle. Magnetic force on a current-carrying conductor. Magnetic field of a long, straight wire. Ampere's law. Magnetic force between two parallel conductors. Magnetic field of a solenoid. Motion of a charged particle in a magnetic field. Relation between the energy of a photon and its wavelength (frequency). The law of reflection. Snell's law of refraction. Condition for total internal reflection. Lateral magnification. Mirror equation. Thin-lens equation. Lens maker's equation. Conditions for constructive and destructive interference for slits, thin films, and diffraction grating. Condition for the Fraunhofer diffraction. Gamma (g ) factor in relativity. Relativistic momentum. Relativistic velocity addition. Relativistic kinetic energy. Work function in the photoelectric effect. De Broglie wavelength. Compton shift. The uncertainty principle for momentum and energy. Shape of the balckbody radiation. Wien's displacement law. Energy levels in the Bohr atomic model. Average radius of the atomic nuclei. Radioactive decay rate. Decay constant. Half-life.
Units:
Force, current, charge, energy, electric potential, power, resistance, capacitance, electric field, magnetic field, wavelength, unified mass unit.
Conversion of units into the SI system. Abbreviations of non-traditional units (tera, giga, mega, kilo, milli, centi, micro, nano, pico). Example: 1MJ (mega joule)=106 J.
Study questions (to test how you understand the last part of the course):
Which reference frames are called inertial? What is time dilation? What is length contraction? In what dimension does an object contract with respect to the direction of its motion? What is rest energy? How does kinetic energy is related to the total energy in relativity? What means relativistic? What is the photoelectric effect? What is the stopping potential in the photoelectric effect? What are mater waves? What is the de Broglie wavelength of an object? How does the de Broglie wavelength depends on the object's momentum? What is the size and composition of the atomic nucleus? What are the quantum numbers and what do they determine for the atomic electrons? What is an electronic shell? How many electrons can a shell contain? What is the exclusion principle? What are the conditions for different kinds of spectra (continuous, emission, absorption)? How to determine the wavelength of an absorbed or emitted photon from the energy difference of the orbitals? What is radioactive decay and half-life of a radioactive nucleus? What is binding energy? What are atomic number and atomic mass? How does the nuclear density and size depends on the atomic mass? What is ionization? Which spectral series emit or absorb hydrogen atoms? In which spectral range does a particular series exist?
Use also study question from study guides for the mid-terms.
Last updated: 2005 April 26