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Lecture 2

Lecture 2. Big Bang Time Line. The Birth of the Quantum. Max Planck T he energy contained in radiation is related to the frequency of the radiation by the relationship n is a positive integer called the quantum number f is the frequency of the oscillation

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Lecture 2

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  1. Lecture2 Big Bang Time Line
  2. The Birth of the Quantum Max Planck The energy contained in radiation is related to the frequency of the radiation by the relationship n is a positive integer called the quantum number f is the frequency of the oscillation A discreet packet of energy, later to become known as “a photon”
  3. Implications of Planck’s Law energy n The energy levels of the molecules must be discreet Only transitions by an amount E=hf are allowed The implication is that light is discreet or quantised 4hf 3hf 2hf 1hf 0 4 3 2 1 0 These quantum levels are known as number states
  4. Spectroscope
  5. Three Types of Spectra
  6. Spectral Analysis of the Elements Studying the light emitted by an object in order to know something about that object! Continuous Spectrum: a collection all possible wavelengths/ frequencies of light
  7. EmissionSpectra Pattern of bright spectral lines produced by an element.
  8. AbsorptionSpectra Pattern of dark spectral lines where light within a number of narrow frequency ranges has been removed.
  9. Hydrogen Helium Argon Neon Krypton Wavelength Bright Line Emission Spectra
  10. Kirchoff’s Laws 1st law: A luminous solid or liquid, or a sufficiently dense gas, emits light of all wavelengths and produces a continuous spectrum of radiation. 2nd law: A low-density hot gas emits light whose spectrum consists of a series of bright emission lines which are characteristic of the chemical composition of the gas. 3rd law: A cool thin gas absorbs certain wavelengths from a continuous spectrum, leaving dark absorption lines in their place superimposed on the continuous spectrum.
  11. Spectra and Background Type of spectrum seen depends on the temperature of the thin gas relative to the background temperature. TOP: thin gas cooler than background, absorption lines seen. BOTTOM: thin gas hotter than background, emission lines seen.
  12. Studying the Stars: Analyzing the light from a star can tell us: 1. The composition of the star. 2. The relative motion & rotation of the star. 3. The star’s temperature.
  13. Shows limited Range of Light Energies Reaching Earth’s Surface
  14. Hubble’s Discovery of the Expanding Universe (1929) Spiral nebulae known to have redshifted spectra Hubble and Humason carry out quantitative study Hubble shows velocity of recession is proportional to distance
  15. Instrument of Discovery:Hooker 100” Telescope Mount Wilson Observatory
  16. The Hubble Law Hubble’s original data showing the galaxy velocities to be propor-tional to their distance v=HoR
  17. = 75km/s/Mpc The Hubble Law Improved data showing that the Hubble law holds to much larger distances v=HoR
  18. Cosmic Distance Ladder Objects Remote Galax. Remote Clusters Spiral Galaxies Cepheid Var. Stars Star Clusters Hyades Star Cluster Planets & Stars Nearby Planets METHOD Supernovae Britest Galx. In Cluster Rotation Velocity Period-Lum. Relat. Color-Mag Rel. Stat. Parallax Moving Cluster Parallax Useful Distance 1010 Light years 1010 Light years 108 Light years 5x107 Light years 106 Light years 1000 Light years 120 Light years 100 Light years light minutes Radar
  19. Stellar Parallax Parallax is the annual shift in a star’s apparent position in the sky due to the Earth’s orbital motion. The parallax angle is half the annual shift. The parallax angle of the nearest star, Proxima Centauri, is 0.77 arcseconds.
  20. Parsec An object with a parallax of 1 arcsecond is located at the distance of 1 parsec. 1 pc = 3.26 light-years = 3.09 1013 km 1 d (in parsecs) = -------------------------- p (in arcseconds)
  21. Background Stars Parallax Earth  Sun 2x Parallax (p) in arcsecs A.U. 2 radians in circle = 360 deg ==> A.U. = Astronomical Unit = Earth-Sun Distance = 1.5x1011m Parsec = pc = distance when parallax is 1 arcsec:
  22. = 75km/s/Mpc · R = = V H d d 0 R The Hubble Law
  23. The Expansion of the Universe The Expansion of the Universe: One should consider the galaxies located on the surface of the spherewhich expands with time. As the sphere expands all lengths, including that of light increase. That means all the photons redshift. The redshift increase with the distance.
  24. Raisin Cake Model Like raisins in rising raisin cake, galaxies move away away from each other in our expanding universe.
  25. Cosmology Hubble Time The age of the universe if the expansion has been constant. t = 1/Ho = ? The expanding universe probably originated in an explosion called the Big Bang between 12 and 18 billion years ago.
  26. Big Bang Timeline We are here
  27. Big Bang Timeline GUT period -age of quarks and gluons: Dense concentration of matter and antimatter; gravity a separate force, more quarks than antiquarks Inflationary period: rapid expansion, strong force separate from electroweak force
  28. Big Bang Timeline Electroweak era; age of leptons: Leptons distinct from quarks; bosons mediate weak force ; Particle era: Age of nucleons and antinucleons: quarks bind together to form nucleons and antinucleons; energy too low for nucleon- antinucleon pair production at . Age of nucleosynthesis: stable deuterons; matter 74% H, 25% He, 1% heavier nuclei Age of ions: expanding, cooling gas of ionized H and He.
  29. Big Bang Timeline Recombination era: age of atoms; neutral atoms form, pulled together by gravity; universe becomes transparent to most light. Age of stars and galaxies Thermonuclear fusion begins in stars, forming heavier nuclei Present era
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