ࡱ>  0bjbj "`jj(&l 8 , !dM|!|!!!!v$v$v$LLLLLLL$dO QM-v$r$v$v$v$MT'!!xLMT'T'T'v$V!!LT'v$LT'BT',niI=L!hp! P1 B&qJ =LbM0MJ(RB&(R=LT'ASTR 1050: Survey of Astronomy Spring 2004 Exam #4, May 7, 2004 (40 points total) Instructor: Michael Brotherton Covers Chapters 16-19, Horizons: Exploring the Universe, by Michael Seeds Instructions This exam is closed book and closed notes, although you may use a calculator (the math on the exam may be easy enough to work without a calculator, but if you need to borrow one please ask!). Formulas, constants, and figures you might want during the exam are given on the last pages. The exam consists of 40 multiple choice questions. Please mark your answers with a number 2 pencil on a green 10-answer bubble sheet. Write "exam04" in the special code section of the answer sheet. Please dont cheat and make your best effort. I've enjoyed having you this semester. Good luck! Multiple Choice (40 questions) 1. Which of the Galilean satellites have volcanoes (hint: the inner two)? a. Io and Callisto. b. Ganymede and Titan. c. Titan and Callisto. d. Europa and Io. e. Ganymede and Callisto. f. Io and Ganymede. 2. The excess heat produced by Jupiter and Saturn is the result of a. nuclear reactions in their liquid metallic hydrogen cores. b. radioactive decay. c. hot molten lava rising to the surface. d. the continual slow contraction of each planet. e. the large number of comet and meteorite impacts each year. 3. Most of the asteroids orbit the sun in a belt between the orbits of a. Venus and Earth. b. Earth and Mars. c. Jupiter and Saturn. d. Mercury and Venus. e. Mars and Jupiter. f. Saturn and Neptune. 4. The gas tail of a comet always a. trails behind the head along the orbital path. b. extends ahead of the head along the orbital path. c. points toward the sun. d. points away from the sun. e. points perpendicular to the orbital path. 5. The gas that is primarily responsible for the greenhouse effect on Earth is: a. oxygen (O2). b. nitrogen (N2). c. carbon dioxide (CO2). d. ozone (O3). e. ammonia (NH3). 6. The physical effect that causes rings, rather than moons, to form around planets is a. tidal force. b. the solar wind. c. upper atmospheric pressure. d. the planet's magnetic field. e. the temperature (needs to be cold and far from the sun). 7. Though Saturn's moon Titan is small, it is able to retain an atmosphere because a. It is very cold. b. It is very dense. c. It rotates very slowly. d. It attracts gas from the solar wind. e. It has a very strong magnetic field. 8. The Earth's moon appears unusual in some respects, for instance it has a low density compared to Earth. Astronomers think this is because a. The moon is made of green cheese. b. The moon formed at the same time Earth condensed from the solar nebula. c. The moon formed from a giant impact between a Mars-sized object and Earth. d. The moon has a thin atmosphere of Argon. e. We never see the dark side of the moon. 9. Which of the below correctly lists the planets in order of their distance from the sun? a. Mercury-Earth-Venus-Mars-Jupiter-Saturn-Uranus-Neptune b. Mercury-Venus-Earth-Mars-Jupiter-Saturn-Uranus-Neptune c. Mercury-Earth-Venus-Mars-Jupiter-Saturn-Neptune-Uranus d. Mercury-Venus-Earth-Mars-Jupiter-Saturn-Neptune-Uranus e. Venus-Mercury-Earth-Mars-Jupiter-Saturn-Neptune-Uranus f. Mercury-Venus-Earth-Mars-Saturn-Jupiter-Uranus-Neptune 10. Annual meteor showers occur when: a. Volcanoes on another planet or moon send ash into our atmosphere. b. Politicians need a distraction from a scandal. c. You can't see any meteors because it is raining. d. The gravity of Jupiter diverts asteroids toward Earth. e. The sun's solar wind interacts with the magnetic field of Earth. f. A large number of meteors are seen from all directions in the sky. e. Earth's orbit passes through the orbit of a comet. 11. How many planets (dont count the moon!) can be seen without a telescope? a. 1 b. 2 c. 3 d. 4 e. 5 f. 6 For the next 13 questions, please use the following list of possible answers: a. Mercury b. Venus c. Earth d. Mars e. Jupiter f. Saturn g. Uranus h. Neptune i. Pluto 12. Which planet is the most massive? 13. Which planet has the highest density (a Jeopardy question!)? 14. Which planet sometimes has planet-wide dust storms? 15. Which planet has clear, prominent rings around it? 16. Which planet is more properly a Kuiper-belt object? 17. Which planet, as discussed in class and on the course website, is the home world of the "Zombie Butts" featured in a popular children's book? 18. Which planet is the closest in size and mass to Earth? (Don't mark "c. Earth"!) 19. Which planet has its spin axis tilted on its side, as compared to other planets? 20. Which planet has the shortest year? 21. Which planet still has currently active volcanoes on its surface? 22. Which planet has a cold moon that erupts with ice geysers? 23. Which planet has the strongest magnetic field? 24. Which planet looks most like the moon? 25. About how many planets have astronomers found orbiting other stars? a. 0 b. 1 c. 2 d. About 10 e. About 100 f. About 1000 g. About 5,000 26. What techniques have been used to discover extrasolar planets? a. Direct imaging b. Stellar eclipses c. Doppler shifts d. X-ray emission e. All of the above f. Only b and c. g. Only a, b, and c. 27. In what way are the Jovian planets the same as the terrestrial planets? a. masses b. chemical composition c. density d. the plane and general direction of their orbits e. presence of rings f. distance from the sun g. none of the above. 28. Despite its small size, Pluto has a moon of its own. a. true b. false c. it actually has rings rather than a moon. 29. In the solar nebular hypothesis, why do the outer planets grow into giants? a. Because their orbital velocities are slower. b. Because the tidal effect of the sun is smaller. c. Because of the effects of other nearby stars. d. Because the temperatures are lower and ice can grow quickly via the Velcro effect. e. No one has the slightest idea. 30. The greenhouse effect that makes Venus so very hot is the same reason that a. a car gets hot inside on a sunny day even when it is cold outside. b. cakes cool slower than cookies. c. people in Wyoming put a lot of windows on the north side of their houses. d. plants are green. e. Arizona has a rainy season in the summer. 31. Which kind of material is not typically present in asteroids? a. stone. b. metal. c. ice. 32. The frequency of cratering is a. about the same as it ever was. b. was higher in the past. c. was lower in the past. 33. Where do long-period comets come from? a. Jupiter. b. The Asteroid Belt. c. Uranus. d. The Oort Cloud. e. Volcanoes. 34. Compared to the moon, the largest asteroid is a. about the same size as the moon. b. only about 1/100 the size of the moon. c. about 1/3 the size of the moon. d. much larger than the moon. 35. True or false. The gas giants, especially Jupiter, show auroras like Earth. a. True. b. False. 36. Planetary rings are made up of a. hot gas (plasma). b. cold gas. c. cold liquid gasses (like liquid hydrogen). d. rocky/icy particles of all the same size. e. rocky/icy particles of different sizes. 37. Which planet/moon probably has the smallest chance of harboring life? a. Mercury. b. Mars. c. Jupiter. d. Europa. 38. Which planet has a persistent (>100 years) storm similar to an Earth hurricane? a. Uranus. b. Neptune. c. Saturn. d. Jupiter. 39. What is NOT a property of both the moon and Mercury? a. Heavy cratering. b. Essentially no atmosphere. c. Thought to be involved with a large impact in the early solar system. d. A massive, metallic core. e. Visible to the naked eye. 40. True or false. Astronomers have spotted a giant space goat headed toward Earth! a. true, we'd better hop on a spaceship. b. false, you can't believe everything you read in the tabloid press. 41. Extra Credit question. If you finish early, here is a challenging problem for you to chew on! Below are the data that indicate the properties of the inner planet of the triple-planet system discovered around the star 55 Cancri. The period is 14.65 days, and the effect of the Doppler shift on the absorption lines in the spectrum is shown. Assume that you have a circular, edge on orbit and the mass of 55 Cancri is 0.95 times that of our sun or 1.9 x 1030 kg. 1. From Kepler's third law, obtain the orbital radius R. Remember to convert the period to seconds (there are 86400 seconds in a day). 2. You might find it of interest to convert your answer from meters to AU (1.5x1011 meters in an AU). 3. Compute the velocity of the planet (use the circular velocity formula use your radius in meters here and get an answer in m/s). 4. The mass of the planet is determined using conservation of angular momentum as for binary stars. That is, the mass of the planet is equal to the mass of the star times the ratio of the velocity of the star to the velocity of the planet: Mpl = M*V*/Vpl. Compute the mass of this planet in kg. 6. Convert the mass from kg to Jupiter masses (Jupiter has a mass of 1.9x1027 kg). 0.03 Jupiter masses 0.2 Jupiter masses 0.8 Jupiter masses 1.5 Jupiter masses 4 Jupiter masses 12 Jupiter masses 18 Jupiter masses  Potentially Useful Relationships/Formulae Angular diameter = linear diameter 206265 arcsec distance (IA/IB) = (2.512)(mB-mA) mA - mB = 2.5 x log(IB/IA) Binary star version of Kepler's third law: MA+MB = a3/P2 (a in AU, P in years) Newton's Constant of Gravitation: G = 6.67 x 10-11 m3/s2kg Circular Velocity: Vc = (GM/R)0.5 Newton's Law of Gravitation: F = -GMm/r2 Photon Energy: E= hc/, where Planck's Constant is h = 6.63 x 10-34 J s Classical Doppler shift: Vr/c = /0, where  is wavelength; redshift z = /0 Wien's Law: max = 3000000/T ( in nm, T in degrees Kelvin) Steffan-Boltzmann Law: E = T4 (J/s/m2), where  = 5.7x10-8 J/m2s deg4 c = speed of light = 3 x 108 m/s Einstein's Mass-Energy relationship: E = mc2 Distance in pc: d = 1/p where p is the parallax in arcseconds Absolute Magnitude: mv  Mv = -5 + 5log(d in parsecs) or d = 10(mv-Mv+5)/5 Stellar Luminosity L = 4R2T4 1 AU = 1.5x1011m Mass-Luminosity Relation for Stars (using solar units): L = M3.5 Stellar Lifetimes in solar units (solar lifetime is about 10 billion years): Time = 1/M2.5 Schwarzschild Radius, Rs = 2GM/c2 Hubble Law: vr = H0 x d, and the best estimate of H0 is 72 km/s/Mpc, distance is in Mpc Mass of the sun: 2x1030 kg ASTR:1050 Exam 4 Page  PAGE 6 JUVF>], / o p   # 5 9 Q T y } 04VZQR'%&*\ H*OJQJ >*OJQJ OJQJ\5>*OJQJ56OJQJ 5OJQJOJQJ56>*CJOJQJaJ5>*CJOJQJaJHV}=>]^*+n \ ] $a$f000 $ % G y   c s  ' : Y y  5 5 Q y 0VHIR'l P !!&+05:; JK34\ !*+/05:;9:KL]^EFZ[>?gh|}  PW'aL ` a k l ?!!!!CJaJCJOJQJaJ CJ\aJ >*OJQJ OJQJ\OJQJ\U\]CD&:L^r !F[tU?abh} !  .Pk3W'(Lan !@ L U a l m +!?!]!!!!!7"`""s''' & F  !!!`""""s$u${$}$%%U%W%k%o%%%&&&&&&&&&&' 'k'm''''''(2(3(C(H(W(((((((((((((((((( 6OJQJCJH*OJQJaJ6H*OJQJ H*OJQJ H*OJQJ5CJOJQJaJjOJQJU OJQJ\ >*OJQJ 5OJQJOJQJ H*OJQJ 5OJQJ H*OJQJ5OJQJ\;'''''''''''''''((((((2(3(X(|(}(((($a$ & F (((((((((((((())2)5)7)8):);)S)T)])`)))******0+2+R+X++++,&,*,2,4,>,@,|,~,,,------0.2.6.8.X.\....///////000%0&0`0b0e0f000 j0JUOJQJ H*OJQJ H*OJQJ H*OJQJOJQJ H*OJQJT(())>)?)a)b)))**4+6+++D,F,,,,,b-d---:.>.`.$a$`.b...////J0K0f0g0h0i0000000000000000$a$$a$0000000OJQJ0JmHnHu j0JU0J000000000000000000$a$ 1h/ =!"#$%lDd|)deJ  C &A55CnCbbukЃ%٘Qb#N<QkDnIkЃ%٘Qb#N#>"""***)&2( >-+2333???AJJVWXYCdlu"Y%O&E'O(M(["h v' v) }(i.j2e0j5y."P0)A2(O2"]4*R7*\9/R:7C;3Q2 f5!k=%|@7?:ADC)J.O7L0T:E#H&K)O/O)P/R2[?Y7@D DGHMPU,P T!\0V$Z)_0a;a3e8k?QAZHZB]A`M`Sg\dPk\eKdDgSnXq[metmrfxo|xzqvfwbydx`lJh@rRwYtP|ZnCrH{TY~Xxmp}\h́bۏvώ{pݚ߄`eiv}툈Úѣťӡᤈ㱙ǰָɼ׾湤¯ʿñ˻,uBgIDATx^$}֧;j0*HXcEQIleqh ")Ot\܁XR= Zs"8~dn"bq.$#2Zl?GUwuOvfO[_8Y X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X hia-,|Fp_e[( kvUvP`%I-Li7qKODIzuaa/)>nZ< e]6PIdLFr?m_mdZ%>X@sE~K9&7xaJ61_]Aqse4;-)+ y0A/7j#mb`Nuu8@qWߝZj\g$Fۯ/Y.Pf yC\/Y6jZ=A>`.i@+垝R_ "o/s1LXuEE)_JxۂZ? 3J_ j䗪MZ{aJ*[GocKcv8mi0pQhLβ:a0NR5J1J*HhRu s:&jf|BqE~SJdo"5ٞFǟ9ۑ S dE~D% !+ޤQ{r‚[2V0(} LU aocD3He`i?2ش Rm73"dqE~)!6sg=Pt2 N$'Kv~v_vMp_'vZ QW)'9|?@wUO'&m.-_}> ۪!ᐑ?k4<x }d6Ap|%|ҏg:sFTcrzm5,gR"1 )Ky۞ġ] V鸻R@l].WI .ޑmq0n\ODQ{wD88q{??, 0c;|G'7*&c@!(2w@0]޺8Fb\u_&A\Mn std ?ת$v}JZꒀ8 "MKWĴņ4&$"H)ҍ@$~o&-U(F{ ^M.BDHVVyaDq /s_DH+'!|! # _ 𮌂ba#`((M+ ̀5JM%(z] 9?JA̵ f Fm'*3\w݆.Ph"OyJXItZR9\B+O,ӵJz=iʿv}@ ?XQ7quZhe{'?c4gD߁BE!ҐYɿL3aj9CJآݸ4w֫-Eů<\ kĎHקiߑ@ 0DNHH' UNK7O+\@̲1_?1|^2X Zfqr  rd '8r#AhhӨ@#e88ُAd.cƶP JNDI=pQ#"<6*vc7ĹY[")mZ98wĥOLΎԓ'EXĠGoNK{ @7נ+hmZYb}tSɂX7EK7^@nb9@qfR(X:4LraO,Y1FgU6402' fAނbm5fCIAdrafB;Q:<'.ڭ:fAlAOc vPpB͂؂x $W͂؂x, vNo(1bӥ[[ ĘfAlA<6;`13bii9'S.P Y'$ î4Ϭy\ . 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