ASTR 364 In-class Questions Possible answers will always be shown in this order: • • • • RED BLUE GREEN WHITE Do you agree that Pluto should have been demoted to a dwarf planet? • • • • No! What’s Pluto? Yes! I have no opinion If Ross-Ade Stadium (0.2 km in diameter) was built on the moon (distance = 400000 km), its angular diameter would appear to be roughly • • • • one degree 1/10th of a degree 1/10th of an arcminute 1/10th of an arcsecond Which is correctly ordered from smallest to largest? • • • • astronomical unit, light year, parsec parsec, light year, astronomical unit astronomical unit, parsec, light year light year, parsec, astronomical unit Which has a higher intensity viewed from 1 m away? • A household 100 W light bulb • A 100 W fluorescent overhead tube • They will have the same intensity Star G has an apparent magnitude of +5.0 and an absolute magnitude of +4.0. Star H has an apparent magnitude of +4.0 and an absolute magnitude of +4.0. Which star appears brighter in the night sky? • Star G • Star H • They will appear the same Altair’s apparent magnitude is +0.77 and its absolute magnitude is +2.2. How far is Altair from Earth? • Less than 10 parsecs • 10 parsecs • More than 10 parsecs Which of the following is correct? • • • • Apparent magnitude is a measure of intensity Absolute magnitude is a measure of flux Apparent magnitude is a measure of luminosity Absolute magnitude is a measure of luminosity This graph shows the blackbody spectra of three stars. Which has the highest surface temperature? • Antares • Spica • The Sun The surface of Rigel is four times as hot as Betelgeuse, and its diameter is 16 times smaller than Betelgeuse. Rigel is a bit further away from us than Betelgeuse. • Rigel is 16 times less luminous than Betelgeuse • Rigel is 16 times more luminous than Betelgeuse • The stars have the same luminosity • You need their exact distances to determine their relative luminosities The star Aldebaran is 10 times closer than Betelgeuse and has roughly the same surface temperature. Using this picture which shows their intrinsic sizes, which of the following is approximately true? • We receive 9 times more flux from Aldebaran • We receive 9 times less flux from Aldebaran • The stars have about the same flux Betelgeuse 40 Rsun 1200 Rsun Alpha Centauri has about the same radius and surface temperature as our Sun, and is about 1.33 pc from Earth. It has apparent magnitude zero, while our sun has apparent magnitude -27. • The luminosity of α Cen is larger than our Sun • The luminosity of α Cen is much less than our Sun • The flux from α Cen is about 1010 times less than our Sun • The absolute magnitude of α Cen is much smaller than our Sun A thin, cold gas cloud lies between you and a bright blackbody. Which of these spectra would you expect to see when you look toward the blackbody? • Spectrum A • Spectrum B • Spectrum C • None of these Astronomers determine the “color” of a star by calculating the • ratio of fluxes as measured with two different filters • difference between the fluxes as measured with two different filters • ratio of the absolute and the apparent brightness • difference of the absolute and the apparent brightness Does Betelgeuse look reddish to you? Go outside tonight and see! The main reason that flux measurements with filters gives temperatures of stars is • Hotter stars lie further away from us • More luminous stars lie further away from us • If you compare any two stars, the colder one is always less luminous • The light from colder stars always peaks at lower frequency Two stars are in a binary system and are separated by 200 A.U. Star 1 is 5 solar masses. Star 2 is 2 solar masses. The period of star 1 around the center of mass is ______ the period for star 2 around the center of mass. • • • • larger than smaller than the same as not enough info given to answer this The spectrum of Sirius A peaks at 5.8 x 1014 Hz. The spectrum of Sirius B peaks at 1.5 x 1015 Hz. From this information alone, you can deduce that • • • • Sirius A is smaller than Sirius B Sirius A is less luminous than Sirius B Both of the above are true You can’t deduce any of the above In a binary star system, star A is twice as massive as star B. The orbital plane is at an inclination of 45°. Which of the following is always true? • • • • Star A will experience larger blue shifts than B Star A will experience smaller blue shifts than B The orbital period of star A is larger than star B The orbital period of star A is smaller than star B For stars larger than the Sun, luminosity goes as (mass)4 , while radius goes as (mass)0.5. If every star uses up the same fraction of its mass over its lifetime, then you would expect that: • High mass stars live longer • Low mass stars live longer • High and low mass stars live to about the same age • More luminous stars live longer In space you come across some neutral 3H. Your ship’s sensors tell you that it has • • • • 1 neutron, 1 proton and 1 electron 1 neutron, 1 proton, and 2 electrons 1 neutron, 2 protons, and 2 electrons 2 neutrons, 1 proton, and 1 electron An interstellar cloud is made up of a neutral gas that is 25% Hydrogen by mass and 75% Helium by mass. Its mean molecular mass is: • • • • 13/4 7/16 16/7 4/13 If you fully ionize an initially pure Helium gas, its mean molecular mass will: • • • • Decrease by a factor of 3 Increase by a factor of 3 Increase by a factor of 4 Decrease by a factor of 4 If the gas pressure at the surface of our Sun was much higher than the gas pressure at its center • • • • Its radius would slowly expand over time Its central regions would start to collapse It would start to pulsate This describes our current Sun Given what you know about surface gravity and mass-radius relations for main sequence stars at least 1.66 times as massive as our Sun: • The surface gravity varies very little with mass • More massive stars have much higher surface gravity • Less massive stars have much higher surface gravity The sequence ‘OBAFGKMLT’ for main sequence stars is ordered by decreasing ___________, whereas the letters are ordered alphabetically by decreasing _________ • • • • luminosity, temperature temperature, luminosity temperature, hydrogen absorption line depth luminosity, hydrogen absorption line depth The spectral class of a star depends solely on • • • • temperature mass luminosity radius Which class of main sequence star has the longest lifetime? • • • • Class A Class M Class O These all have about the same lifetime The luminosity classes of main sequence stars: • • • • depend on both radius and temperature depend solely on mass depend solely on luminosity are all about the same as our Sun’s Using the spectroscopic parallax method, you measure a star to be 76 pc away. You now find out that the star is actually luminosity class I instead of class V. That makes your original distance measurement • Too large • Too small • Correct – no change to your estimate is needed (Optical) Deep Thoughts: If the Sun is a giant ball of gas whose pressure drops off as -dP/dr, and photons are produced only in a small region in its center, then why does it look like a circular disk? Which of the following has an optical depth much smaller than 1? • • • • Your textbook in visible light Our atmosphere in gamma-rays The walls of this classroom in radio waves A mirror in visible light The mean free path can be described as: • Inversely proportional to opacity and density • The average distance travelled by a particle between collisions • The distance over which the optical depth grows from zero to one • All of the above You might expect the mean free path of a photon that starts out deep inside the Sun to be • • • • Much longer than a solar radius Much smaller than a solar radius About equal to a solar radius About equal to one astronomical unit If you were to suddenly crank up the energy generation rate at the center of the Sun, the inner regions of the Sun would • Be more likely to transfer heat via convection • Remain unchanged • Be more likely to transfer heat via radiation • Be more likely to transfer heat via conduction Increasing the opacity ̅ of a gas layer within a star will tend to • • • • make the layer less likely to be convective flatten the temperature gradient steepen the temperature gradient have no other effect on the layer Consider the following mass comparisons (in atomic mass units): Proton mass = 1 Neutron mass = 1.0014 Hydrogen atom mass = 1.0007 Helium atom mass = 3.9737 Why does helium (2 protons + 2 neutrons) have a mass less than 4? • Some helium atoms have less than 2 protons • The mass is lost when two protons are converted to two neutrons • It takes energy to pull a helium nucleus apart • Helium atoms move so fast that they have a lower apparent mass In general, fusion is most likely to occur between two particles with • • • • High relative velocity High electric charge with the same sign High masses High magnetic charge The Sun’s corona has temperatures roughly as hot as the Sun’s core. So why doesn’t fusion occur in the corona? • • • • The gas density is too low The gas is fully ionized The gas is only 70% hydrogen All of the above About 25% of the mass of a newborn star is helium. Why doesn’t it fuse while the star is on the main sequence? • Helium fusion requires three nuclei to interact within a very short amount of time • For a given gas temperature, helium nuclei move slower than hydrogen nuclei • Helium nuclei repel each other more strongly than hydrogen nuclei • All of the above The energy from fusion reactions that goes into neutrinos doesn’t heat up the Sun because neutrinos • • • • are massless and thus carry no energy have no electric charge have a very large mean free path rapidly decay A star remains at constant size and temperature for a long period of time. Which of the following is mostly likely to be true? The star generates • about as much energy as it radiates • more energy than it radiates into space • less energy than it radiates into space When starlight passes through interstellar dust • The wavelengths all get longer (redder) • It gets fainter • The red light tends to scatter sideways while the blue continues to us • All of the above An interstellar dust cloud drifts in front of a star. In terms of numerical values for color index and apparent magnitude, its observed • • • • (B – V) is larger, and mV is smaller (B – V) is larger, and mV is larger (B – V) is smaller, and mV is smaller (B – V) is smaller, and mV is larger Hot emission nebulae are somewhat red, and cold reflection nebulae are blue. Why are these colors different from what Wien's law tells us about the radiation emitted by a blackbody? • The regions producing light in emission nebulae are optically thick • The dust grains in reflection nebulae scatter longer wavelengths of visible light more strongly than shorter wavelengths. • The light we see from emission nebulae has been strongly affected by dust • None of the above Which of these would have the largest diameter H II region? • O3 V star surrounded by a hydrogen cloud with a low free electron density • G2 V star surrounded a hydrogen cloud with a low free electron density • G2 V star surrounded a hydrogen cloud with a high free electron density • O3 V star surrounded by a hydrogen cloud with a high free electron density If a free electron encounters a magnetic field it will • • • • Accelerate away from it and emit nothing Ignore it Accelerate toward it and emit radiation Annihilate and produce a gamma-ray As you increase the eccentricity of an orbit, it becomes more elliptical, and the focus • • • • Moves towards the center of the ellipse Stays put Moves towards the edge of the ellipse Moves to a point outside the ellipse If you perturb the edge of a molecular cloud, the perturbation will travel through the cloud • • • • on the free-fall timescale at the speed of light at the speed of sound on the thermal timescale If the material in the primordial Solar System retained its angular momentum as it collapsed to form the Sun, the Sun’s current rotation rate should be • • • • Slow (more than a month period) Fast (less than a week period) Moderate (week to a month period) Zero (non-rotating) According to the Virial theorem, if you compress a ball of gas in hydrostatic equilibrium: • The temperature of the gas will remain the same • The temperature of the gas will increase • The temperature of the gas will decrease For our Sun, which is longest – the thermal timescale (GM2/LR) , the free-fall timescale (R3/GM) , or the nuclear timescale (2 Myr x M/L) ? ------ note: 1 year ≈ π x 107 sec. • • • • nuclear thermal free-fall all three are roughly the same If the charge on the proton were increased, then the masses of the lowest mass stars on the main sequence would be • unchanged • smaller • larger The main source of pressure in a degenerate gas is • • • • The low number density of the particles The high kinetic energies of the particles The filling up of available energy states Degenerate gasses do not supply pressure In a fully degenerate gas, the pressure is dependent on: • The density and temperature • The temperature only • The density only Which is the oldest star cluster here? • • • • M67 NGC 2362 h + χ Persei These are all about the same age Our Sun doesn’t pulsate because • Its oscillations aren’t driven at the right period • There is no companion star to perturb it • It is no longer on the main sequence • Its outermost layer is convective White dwarfs support themselves against gravitational collapse by • • • • Coulomb pressure Helium gas pressure Carbon gas pressure Electron degeneracy pressure Which is ranked correctly from least dense to most dense? • • • • Black hole, white dwarf, neutron star Neutron star, black hole, white dwarf White dwarf, neutron star, black hole All of three have about the same density Our Sun will end up as • • • • A white dwarf A black hole A neutron star A supernova remnant The mechanism that makes a white dwarf shine is • • • • Fusion of material dumped on its surface Gravitational contraction Nuclear fusion in the core region Escape of heat left over from its formation In order for a white dwarf to become a nova it must • • • • Have had a main sequence mass > 7 Msun Be heavier than 1.44 solar masses Have a companion star Continue fusing elements up to iron If you were standing on the surface of a 1 solar mass neutron star and dropped your smartphone, it will hit the surface at about • • • • 1 m/s 10 m/s 104 m/s 106 m/s It is much more difficult to escape the surface of a neutron star compared to a normal star because • • • • It is much hotter It is much heavier It is much denser It has much lower surface radiation pressure If a pulsar rotates 1000 times per second, special relativity and classical mechanics imply that compared to a normal star it must be • • • • Much larger and less dense Much larger and denser Much smaller and denser Much smaller and less dense A supernova is • • • • Something our Sun will eventually do The eventual fate of a very high mass star An atypically bright classical nova event The creation of a very high mass star The event horizon of a 1.0 Msun black hole is 3 km. Thus, the event horizon for a 2 solar mass black hole must be • • • • 0.75 km 1.5 km 3.0 km 6 km If our Sun were to suddenly replaced by a 1 Msun black hole, the Earth would • • • • Start to fly outward at a tangent to its orbit Start to spiral inward toward the black hole Stay in its current orbit Start to fly outward in a direction opposite to the black hole An astronaut falling into a black hole would be ‘spaghettified’ by • Magnetic forces: the black hole’s powerful magnetic field pulls her apart • Tidal forces: gravity pulls her feet much stronger than her head • Centripetal forces: the rapid rotation of the event horizon stretches her out Black holes are black because • • • • They are extremely cold They are blackbodies Their escape velocity exceeds light speed They are theoretical objects that have never been seen In a supernova or gamma-ray burst, what type of energy is converted to radiation? • • • • Electromagnetic Thermonuclear fusion Neutron degeneracy Gravitational If Alpha Centauri (distance = 1 pc) were to suddenly explode in a 1045 W gamma-ray burst, it would appear: (hint: 1 pc is roughly 200,000 AU, Sun’s luminosity is about 1026 W) • Considerably fainter than the Sun • Considerably brighter than the Sun • About the same brightness as the Sun The radius of a star’s orbit and its velocity – the data implied by a star’s location on a rotation curve – can be used to determine • • • • The mass interior to the star’s orbit The mass of the star The mass of the entire galaxy The mass at the center of the galaxy Which curve represents the trend of velocity versus radius for a solid rotating disk? • • • • Red Blue Green None of these Young stars are predominantly found in the ___ of our galaxy since _____ there causes stars to form. • • • • Disk , a density wave Disk , low metallicity gas Halo , high density gas Bulge , supernovae Which of these galaxies most resembles the Milky Way? • • • • (A) (B) (C) (D) Edwin Hubble’s ‘tuning fork’ diagram describes • • • • How astronomers classify galaxies Different possible models for our Milky Way How galaxies evolve, from left to right How Ed Hubble liked his lattes prepared Optical telescopes can’t give us a good view of the galactic center because • Optical telescopes currently aren’t large enough • There is too much dust in the way • The galactic center is too far away • Our atmosphere distorts the images too much Which observation would provide the best evidence that the disk of the Milky Way does NOT rotate like a solid wheel? • Disk stars twice as far from the galactic center rotate twice as fast around it • Disk stars have Doppler shifts • The brightest disk stars form spiral arms • The rotation of the disk stars near the Sun decreases with distance according to Kepler’s laws Early type galaxies are all • • • • Relatively young Found at large distances Elliptical in shape Spiral in shape Consider these widely separated galaxies in an expanding universe. Imagine you are located in galaxy A and have observed that both galaxies B and C are moving away from you. What would someone in galaxy C say about the motion of B? A B • It is moving away from them • It is not moving • It is moving toward them C The currently accepted value for the Hubble constant is about 70 km/s/Mpc. If we were to suddenly discover it was actually 200 km/s/Mpc, the age of the universe would then be • About the same age as we previously thought • Much older than we previously thought • Much younger than we previously thought Say you want to measure the distance to the closest galaxy (Andromeda). The best method to use is • • • • Doppler shift of its spectral lines Period-luminosity relation for Cepheid stars The Hubble law of recession for galaxies Trigonometric parallax using Earth’s orbit In the radio galaxy M87, you can only see one jet because • • • • Light from the other jet is beamed away from us Dust is obscuring the other jet Only one jet is currently being produced The other jet is so far away its light hasn’t reached us yet When Andromeda and our Milky Way merge, • Very few of the stars in either galaxy will survive • The dark matter halos will annihilate each other in a giant explosion • A new elliptical galaxy will eventually form • The two galaxies will annihilate each other, since Andromeda is made of antimatter The large Doppler velocity widths of broad emission lines in active galaxies could NOT be created by hot emitting clouds that are • Being ejected along a narrow-angled jet • Swirling at high velocities around a black hole • Falling into the neighborhood of a black hole The most distant quasar at z = 7.1 has an apparent optical magnitude of 21. How much fainter is it than the faintest star you can detect with your naked eye (magnitude = 6) ? • • • • 100 x 1000 x 1,000,000 x 1,000,000,000 x You detect a narrow width Lyman α absorption line in the spectrum of a quasar which is at a significantly shorter wavelength than the quasar’s observed Lyman α emission line. You conclude that the absorbing cloud is • Warm and located close to the quasar • Cold and located close to the quasar • Cold and located close to the Milky Way • Warm and located close to the Milky Way At high redshift, a larger fraction of galaxies are “active” than at low redshift. From this, we can safely conclude that • All galaxies may become active more than once in their lifetime • All galaxies go through an active phase, and fewer galaxies in the past were active than now • Some galaxies go through an active phase, and more galaxies in the past were active than now • Most galaxies never become active in their lifetime Which cluster is the most likely to be relaxed? Cluster A Cluster B Gravitational lenses are often detected at optical wavelengths because • Dark matter absorbs light at all other wavelengths • Gravity bends spacetime only for optical wavelengths • There is typically less obscuration in the optical • Distant background galaxies emit most of their light in the optical Which of the following measurements can NOT be used to measure the amount of dark matter in a galaxy cluster? • The deflection of light rays from a background object passing by the outskirts of the cluster • The average speed of galaxies orbiting the cluster center • The dispersion in the speeds of the galaxies orbiting the cluster center • The properties of X-rays emitted by gas that has been heated by falling into the cluster Olber’s Paradox asks why the night sky is dark, when every line of sight must eventually fall on a star. It is dark primarily because the Universe is • Expanding, so that distant stars are redshifted • Infinite and mostly empty • Young, so there are only stars out to a finite distance • Clumpy, so that not every sightline hits a star The near-perfect blackbody spectrum of the cosmic microwave background implies that at one time, • the Universe was very much like a giant black hole • the Universe was optically thick • the mean free path of photons in the Universe was very long • the Universe was much colder than it is now The cosmic background radiation is visible in every direction since • We are looking back to when the Universe was cold • We are at the center of the Universe • We are looking back to when the Universe was young in every direction • It has scattered in every direction over the age of the Universe Dark matter has so far not been detected in the lab most likely because • Radiation pressure from our Sun pushes it outward • Dark matter is only found in distant galaxies • It rarely interacts with normal matter • It has a very short decay half life The observed redshifts of galaxies mean that • Photons lose energy as they travel through space • We are at the exact center of an expanding Universe • Dark matter is causing the Universe to expand faster than it normally would • Galaxies were moving much faster with respect to each other when the Universe was very young The consensus model of cosmology indicates • The expansion of the Universe has stopped • The expansion of the Universe is slowing • The expansion of the Universe is accelerating • The Universe is currently contracting The lookback time to an object is the # of years between when the object emitted its light and when we see it. What piece of information surely does NOT affect the lookback time for a distant object? • The rate of expansion of the Universe • Its distance • The speed of light • The wavelength of light being observed As the Universe evolves over time • The energy density of dark energy remains constant • The energy density of dark matter increases • The energy density of dark energy increases • The energy density of dark matter remains constant Since the time when the cosmic microwave background was created, the Universe has expanded by approximately a factor of • 10 • 1000 • 100000 • 10 million By observing the cosmic microwave background, the Planck mission confirmed that on the whole, spacetime in the Universe is • Positively curved, like a sphere • Negatively curved, like a saddle • Flat The luminosity distance is defined as the distance over which • The universe has expanded in the time the light from the object takes to reach us • The small angle formula applies • The comoving coordinates stay constant • The inverse square law of light applies Which product name isn’t associated with an astronomical phenomenon? Starburst Pulsar Quark Quark Nova