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Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine tburbine@mtholyoke.edu www.xanga.com/astronomy100. Help Desk. There is an Astronomy Help Desk in HAS 205. It will be open from Monday through Thursday from 7-9 pm. Homework Assignment (Due Today). Make up a test question
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Astronomy 100Tuesday, Thursday 2:30 - 3:45 pmTom Burbinetburbine@mtholyoke.eduwww.xanga.com/astronomy100
Help Desk • There is an Astronomy Help Desk in HAS 205. It will be open from Monday through Thursday from 7-9 pm.
Homework Assignment(Due Today) • Make up a test question • Multiple Choice • A-E possible answers • 1 point for handing it in • 1 point for me using it on test • The question needs to be on material that will be on the March 10th exam
Sample Question: • What is the atomic mass of Krypton which has the symbol Fr? • A) 74.64 • B) 26.34 • C) 87.49 • D) 83.80 • E) None of the above
Sample Question: • What is the escape velocity of a spacecraft from the surface of Saturn? • A) 1,258,451,118 • B) 1,259,451,118 • C) 1,258,451,118.03 • D) 1,258,451,118.09
Sample Question: • Earth is which number planet from the Sun? • A) 4 • B) 2 • C) 7 • D) 3 • E) 8
Sample Question: • How many days are in a sidereal month? • A) 29.5 • B) 27.3 • C) 31 • D) 365
Credit for test question: • I am not giving credit for test questions that have no possibility for making it on exam
Test • Thursday March 10th • Will cover Chapters 4, 5, 6, and 7 • Will not cover Supplemental chapters 2 and 3 • If there is a problem with taking the test on March 10th, I need to know today • I will give you all constants you need to know • But you need to memorize formulas
Constants (given on top of test) • c = 3 x 108 m/s • G = 6.67 x 10-11 m3/(kg s2) • h = 6.626 x 10-34 joule second • g = 9.8 m/s2
Formulas (so far) • E = mc2 • KE = ½ mv2 • c = frequency * wavelength • E = h*frequency • F = mass * acceleration • Angular momentum = m * v * r • Escape velocity = square root (2GMplanet/Rplanet) • F = G M1 M2 distance2
Homework (due last thursday) • Calculate acceleration of gravity • Calculate escape velocity • Of Mars and Jupiter
acceleration of gravity • F = M2a = G M1 M2 the object is M2 R2 M1 is the mass of the planet a = G M1r is the Earth’s radius R2 a = 6.67 x 10-11 m3/(kgs2) * M2 R2 Make sure you use kg, meters, seconds
Escape velocity • Velocity above this will allow an object to escape a planet’s gravity v = square root[(2 x G x M)/r] Make sure you use kg, meters, seconds
Homework (due today) • In Joules, calculate the typical energy of one • Gamma ray • X-ray • Ultraviolet light • Visible light • Infrared light • Radio photon
Energy of light • Energy is directly proportional to the frequency • E = h * f • h = Planck’s constant = 6.626 x 10-34 J/s • since f = c/λ • Energy is inversely proportional to the wavelength • E = hc/λ
Homework on OWL • Homework due Monday March 7th at 11:59 pm • 8 questions • I will divide your number of points by 8 to calculate your score
Another HW (due next Tuesday) • Pick a telescope (earth-based or in space) • When it was built • Where it is located • Tell me what wavelength (or energy or frequency) it observes in • Tell me a discovery it has had
So • If you know the energy of a photon, you can calculate its wavelength and frequency • If you know the wavelength of a photon, you can calculate its energy and frequency • If you know the frequency of a photon, you can calculate its wavelength and energy
So how we learn things about stars • Composition • Velocity • Temperature
Absorption and Emission lines • Electrons can only reside in specific energy levels around a nucleus • The energy of that energy level is an energy that the electron must have to reside there • 1 eV = 1.6 x 10 -19 Joules
Electrons • For an electron to go to a higher energy level, it must gain energy • Either kinetic energy (something hits it) • Absorbs a photon • For an electron to go to a lower energy level, it must lose energy • Emits a photon
Energy emitted or absorbed • E = energy of higher energy level minus energy of lower energy level • E = E2 – E1 = h * frequency = h*c/wavelength
3.4 eV absorbed 10.2 eV emitted 10.2 eV absorbed 12.1 eV emitted Doesn’t happen
Emission • Emission – radiation is emitted at characteristic wavelengths • Material is “hot” so electrons keep on bumping into each other • The bumping causes the electrons to transfer kinetic energy to each other • The electrons have enough energy to jump to a specific energy level
Emission (continued) • When they jump back down, they emit radiation at characteristic energies • Your telescope will only see light at specific energies (or wavelength or frequency)
Absorption • Absorption – radiation is absorbed at characteristic wavelengths • Radiation passes through the material • Electrons absorb photons with the energy needed to jump to a higher energy level • Photons that do not have the energy to cause a photon to jump to another energy level just pass through
Heated hydrogen gas Emission line spectrum Intensity wavelength White light through cool hydrogen gas Absorption line spectrum
If electrons are absorbing radiation at particular energies and then giving off photons at the same energies, why do we see absorption lines?Shouldn’t the effects cancel out?
Answer • We see absorption occurring in just one direction • But emission is occurring in all directions • So average emission in our direction is very weak • So absorption will be much stronger than emission in our line of sight (our direction)
Important point • Each type of atom has energy levels at different energies • So each atom will have emission or absorption features at different wavelengths Intensity wavelength
How can you all this to determine velocities? • Doppler Shift – The wavelength of light changes as the source moves towards or away from you • Since you know the wavelength position of emission or absorption features • If the positions of the features move in wavelength position, you know the source is moving
So • Source moving towards you, wavelength decreases • Source moving away from you, wavelength increases
Definitions • Opaque – light is absorbed • Power – rate of energy use – Joules/second
Thermal radiation • Photons of light emitted inside an opaque object tend to bounce around inside the object • The emitted radiation is called thermal radiation since it only depends on temperature
Animation • Thermal radiation
The thermal radiation spectrum is called a blackbody spectrum • The shape of the blackbody spectrum only depends on temperature
2 Rules • Rule 1: Hotter objects emit more total radiation per unit surface area • Rule 2: Hotter objects emit photons with a higher average energy
Poker gets brighter when heated More radiation is emitted While heated, the poker goes from infrared to red to white
Important formula (use on OWL HW) • Stefan-Boltzman Law • Emitted power per square meter = σ T4 • σ = 5.7 x 10-8 Watt/(m2 Kelvin4) • Higher temperature, more power emitted