The Following Topics Might Appear on the Final Exam (2018) |
Insulators, Conductors |
Induction of Charge |
Charge Conservation |
Electrostatic Polarization |
Colomb's Law |
Superposition |
Defintion of Electric Field |
Electric Field Due to a Point Charge |
Electric Dipoles |
Gauss' Law |
Electric Field Lines |
Defintion of Electric Potential |
Electric Potential of a Point Charge |
Defintion of Equipotential Surface |
Relationship between Electric Field and Electric Potential |
Definition of Capacitance |
Capacitance of of a Parallel Plate Capacitor (C = ε0A/d) |
Equivalent Capacitance of Capacitors in Series or in Parallel |
Equivalent Resistence of Resistors in Series or in Parallel |
Capacitance of a parallel plate capacitor |
Energy of a Charged Capacitor |
Energy Density of an Electric Field |
Definition of Current |
Kirchhoff Loop Rule |
Kirchhoff Junction Rule |
Ohm's Law |
Definition of EMF |
Magnetic Field Lines (point toward S pole, away from N pole.) |
Lorentz Force Law (Right-Hand Rule 1) |
Motion of Charged Particle in a Magnetic Field |
Magnetic Force on a Current-Carrying Wire in a Magnetic Field |
Definition of Magnetic Moment |
Torque on a Current-Carrying Loop of Wire in a Magnetic Field |
Magnetic Field of a Straight Current-Carrying Wire (Right-Hand Rule 2) |
Magnetic Field of Circular Loop of Current-Carrying Wire (Right-Hand Rule 3) |
Difference Between a Motor and a Generator |
Definition of Magnetic Flux |
Faraday's Law |
Lenz's Law |
Mutual and Self Inductance |
Definition of an Inductor |
Units of Inductance |
Circuit Symbol for an Inductor |
Transformer (Ouput Voltage in terms of Input Voltage) |
R-L Circuit (time constant, steady current) |
Definition of Alternating Current |
Circuit Symbol for an AC power source |
Defintion of Reactance (Vpeak/Ipeak across a single AC circuit element) |
Reactance of a Capacitor |
Reactance of a Resistor |
Reactance of an Inductor |
Phase of Voltage Relative to AC Current for Resistor |
Phase of Voltage Relative to AC Current for Inductor |
Phase of Voltage Relative to AC Current for Capacitor |
Defintion of Impedance (Vpeak/Ipeak across a multiple AC circuit elements) |
Impedance of a Series R-L-C Circuit |
Orientation of E and B Fields in an EM wave |
Intensity as a function of Emax |
Index of Refraction: n = c/v |
Wavelength, speed, frequency of light in a medium with index of refraction n |
Snell's Law |
Total internal reflection & critical angle |
Dispersion: index of refraction depends on wavelength (explains rainbow) |
Polarization: Malus' Law |
Two ways to polarize: filter & reflection |
Huygen's principle: Every point on a wave front is itself a source of a wave front |
Definition of image magnification: (image height)/(object height) |
Definition of virtual image (light appears to diverge from its points, but it doesn't actually) |
Definition of real image (light actually diverges from its points) |
Mirror Equation |
Defintions of focal point and focal length |
Focal length of spherical mirror of radius R |
Magnification due to spherical refracting surface (crystal ball) |
Graphical methods for mirrors |
Graphical methods for lens |
Thin lens equation |
Lens maker's equation |
Diverging (f < 0) lens vs Converging lens (f > 0) |
Definition of diopter |
Lens to correct for nearsightedness |
Lens to correct for farsightedness |
Path length differences resulting in constructive and destructive interference |
Positions of bright and dark bands in two-slit interference |
Positions of dark bands in single-slit defraction |
Condition for thin film interference (when no phase shifts occur) |
Condition for thin film interference (when one phase shift occurs) |
When 180o phase shift occurs on reflection from an interface |
Angle of dark bands due to diffraction grating |
Bragg's Law |
Holography principle: All of the visual info about an object is contained in its inteference pattern (between light scattered from the object and a light source) at a surface surrounding the object |
The double slit experiment: produces an interference pattern even when particles of light emerge from their source one at a time. |
Quantum mechanics: needed to describe very small physical systems |
Simultaneity of events not absolute |
Length contraction (moving objects seem to contract in direction of motion) |
Time dilation (moving clocks seem to slow down) |
Gravitational Time dilation (the greater the gravity, the slower the clock) |
Principle of Relativity (Laws of phyics same in all inertial reference frames) |
Speed of light the same in all inertial reference frames |
Definition of an inertial reference frame -- frame of reference of an observer who is not accelerating |
Equivalence of mass and energy (E = mc2) |
Photoelectric Effect (energy of ejected e- depends on frequency of light not its intensity) |
Energy of photon (E = hf) |
Frequency of photon an e- emits or absorbs in changing its energy level in an atom [f = (Ef - Ei)/h] |
Dependence of Bohr atom's energy levels on n (En ~ -n-2) |
Definition of coherent radiation (same phase, same frequency, same direction) |
Stimulated Emission (photon of right frequency is "cloned" when it hits an excited atom ==> Laser light) |
Compton Scattering (X-rays act like particles with momentum p = h/λ. Wavelength of scattered X-ray depends on scattering angle) |
De Broglie Wavelength of a particle (λ = h/p) |
Davisson-Germer Experiment (electrons act like waves in scattering from lattice according to Bragg's law) |
Wave-particle duality (particles can act like waves, waves like particles) |
Schrodinger Equation (solutions explain atomic structure, energy levels) |
Quantum numbers for electron in an atom [n (principal), l (angular momentum), ml (magnetic), s (spin)] |
Possible values for quantum numbers (1 ≤ n < infinity, 0 ≤ l ≤ (n-1), -l ≤ ml ≤ l, s = ±1/2) |
Pauli Exclusion Principle (two electons cannot have the same set of values for its quantum numbers) |
Central Field Approximation (simple analysis of hydrogen atom applied to complex atoms) |
Max occupancy of a subshell |
Number of orbitals in a subshell |
Labels of subshells (l=0 → s, l=1 → p, etc.) |
Constituents of nucleus (neutrons, protons) |
Meaning of Atomic Number (number of protons) |
Meaning of Mass Number (= number of protons + number of neutrons) |
Radioactive decay law (N = N02-t/T) |
Half life (T1/2 = 0.693/λ) and Mean Lifetime (Tmean = 1/λ) |
Absorbed Dose [= (radiation absorbed)/(mass of tissue that absorbs it)] |
Meaning of Relative Biological Effectiveness |
Equivalent Dose = RBE x (Absorbed Dose) |
Chief radiation risk to Americans (household radon) |
Alpha Decay |
Beta Minus Decay |
Beta Plus Decay |
Electron Capture |
Gamma Decay |
Nuclear Fission |
Chain Reaction |
Nuclear Reactions |
Mass Deficit |
Reaction Energy |
Carbon-14 Dating |
Heisenberg Uncertainty Principle |
Exothermic Nuclear Reaction |
Endothermic Nuclear Reaction |
proton-proton nuclear fusion reaction |
Nuclear Magnetic Resonace: nucleus only absorbs certain discrete frequencies of EM radiation to change the relative alignment of its magnetic moment (μ) with an external magnetic field (B) |
Nuclear Magnetic Resonace: a nucleus can be identified by the frequencies of EM radiation that it absorbs |
Nuclear Magnetic Resonace: the EM frequencies that nuclei absorb are harmless radio frequencies |
Nuclear Magnetic Resonace: If the external magnetic field slowly changes with position, the spatial location of the nucleus aborbing an EM signal can be inferred |
Magnetic Resonance Imaging: Given the quantity of photons emitted at a particular frequencies, and the dependence of frequency on position (due to gradient magnets), can form detailed images of soft tissue |
Imaging methods ordered by ionizing radiation dose from highest to lowest: CT, PET, MRI |
Antiparticle of a particle has its same mass and spins but opposite charges |
The Standard Model is to particle physics what the Periodic table is to chemistry |
There are 4 fundamental forces (from strongest to weakest): Strong, Electromagnetic, Weak, Gravity |
Particle exerts a force on each other by exchanging a force-mediating particle |
The gluon is the force-mediating particle for the strong force |
The photon is the force-mediating particle for the electromagnetic force |
The W and Z bosons are the force-mediating particle for the weak force |
The graviton is the hypothetical force-mediating particle for the gravitational force |
According to the the Standard Model, the only indivisible particles [with half-integral spin (s=1/2,3/2, ...)] are quarks and leptons |
According to the the Standard Model, common particles (e.g. protons, neutrons, electrons) are in Generation 1 |
Ordering of Standard Model generations from lightest & most common to heaviest & least common: Generaton 1, Generation 2, Generation 3 |
Protons and neutrons are each composed of 3 quarks |
Electrons and positrons are both leptons |
Hadrons are composite particles (composed of quarks) on which the strong force acts |
Baryons are hadrons composed of 3 quarks. |
Mesons are hadrons composed of 2 quarks (a quark, antiquark pair). |
Quarks are always confined to the interior of hadrons, i.e. there are no free quarks. |
Neutrons and protons are baryons. |
With the detection in 2012 of the Higgs Boson, all of the particles predicted by the Standard Model have been discovered. |
The role of the Higgs Boson in the Standard Model is to endow massive particles with their mass |
The Large Hadron Collider near Geneva, Switzerland is a $6 billion machine designed to create and detect the Higgs Boson |
In 1998 astronmers discovered that the expansion of the univese is accelerating. |
Only 4% of the universe is made of normal matter |
23% of the univese is "dark matter": unknown, invisible matter that only interacts gravitationally |
73% of the universe is "dark energy": an unknown, anti-gravitating substance that is accelerating the expansion of the universe |
The Standard Model unifies all of the fundamental forces except for gravity |
The Higg's Boson was detected in the summer of 2012 using the Large Hadron Collider. |
Exam will: |
be closed book, closed notes. |
be 50 questions |
be 3 hours long |
be multiple choice |
allow calculators |
provide value of constants you might need |