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- 3. Brown dwarfs are ____. a. stars with a very thick dust sphere around them, so they appear “brown” b. low mass M type stars with hundreds of planets c. an anomaly because they are extremely small but have relatively high temperature d. protostars that could not ignite the fusion of hydrogen at their core e. has a surface temperature of 2500 K by fusing hydrogen I asked this question onece already, but the answer I got said the answer was C because "AT 2700K THEY ARE HOT" or something to that effect. I tried to find a way to reply to that thread. My argument was that even if brown dwarfs were 2700k (and my book says that's closer to the temperature of red dwarfs and that brown dwarfs are usually around 1000K). Seeing that we are studying the life cycle and evolution of all stars, wouldn't either of those temperatures be on the relatively COOL side of all star temperatures? Wouldn't the most appropriate answer be D.?4. What is the upper limit of a brown dwarf’s size? a. no upper limit b. 0.50 solar masses c. 0.10 solar masses d. 0.08 solar masses e. less than 0.08 solar massesOn this one, I feel like E is the answer because the book mentions a red dwarf that is .08 solar masses in the section about brown dwarfs. I just want to be sure that D is not what they are looking for. (I've asked the professor, but I am not having any luck getting in touch with him.)4. Suppose we observe a binary star system in which one star is much more massive than the other and both are on the main sequence. We measure that the smaller star orbits the larger at a distance of 10¹3 m with a speed of 10 m/s. a. What is the mass of the larger star? b. Which star has a higher luminosity? c. Which has a larger radius? d. Which is hotter?
- Assume that when a certain main sequence star becomes a giant gas, its luminosity increases from L to 1000 L and its radius also increases from R to 1000 R. If the initial surface temperature is T, what approximately is the final surface temperature? A. 0.032 T B. 0.18 T C. 0.0010 T D. 0.010 T3. If a star converted every bit of its mass into energy the conversion efficiency would be 100%. However, no star is this efficient in its energy production. Stars with less than 1.3 solar masses (most stars are less than 1.3 solar masses) convert hydrogen into helium with an efficiency of only 0.7%. Bearing in mind that Nunki has a mass of 15.6 x 1030 kg, how long will it live if it converts all of its hydrogen into helium with an efficiency 0.7%? Please note that it won't actually convert all of its hydrogen into helium so this is a rather optimistic upper limit for the lifetime of Nunki. Also, 1 year = 365.25 days. Lifetime = 2.47167e1 X yearsWhich of the following binary star systems cannot exist? A. A 1 solar-mass main sequence star and a 4 solar mass red giant with a size 100 times smaller than the orbital distance. B. A 15 solar-mass main sequence star and a 10 solar mass red giant with a size 100 times smaller than the orbital distance. C. A 1 solar-mass main sequence star and a 4 solar-mass main sequence star. D. A 2 solar-mass main sequence star and a 1 solar mass red giant with a size a few times smaller than the orbital distance.
- There is a mass–luminosity relation because a. hydrogen fusion produces helium. b. stars expand when they become giants. c. stars support their weight by making energy. d. the helium flash occurs in degenerate matter. e. all stars on the main sequence have about the same radius.What kind of star is most likely to become a white-dwarf supernova? A. a star like our Sun B. a white dwarf star with a red giant binary companion C. a pulsar D. an O star Is the answer B? For D, as the surface temperature of a star would change over time so spectral type cannot tell us about the fate of the stars?As a white dwarf cools, its radius will not change because a. pressure resulting from nuclear reactions in a shell just below the surface keeps it from collapsing. b. pressure does not depend on temperature for a white dwarf because the electrons are degenerate. c. pressure does not depend on temperature because the white dwarf is too hot. d. pressure does not depend on temperature because the star has exhausted all its nuclear fuels. e. material accreting onto it from a companion maintains a constant radius.
- A main sequence star of mass, M, and radius, R, collapses to a white dwarf star with a radius 1.0% as big as the original star. If ω is the angular velocity of the original star, what is the angular velocity of the white dwarf star? Approximate the star to be a uniform solid sphere. a. 20,000ω b. 10,000ω c. 50,000ω d. 1,000ω e. 5,000ωThe diagram below shows an H-R diagram with life track of a 1-solar-mass star, with various stages labeled A through E. Temperature What will happen to the star after stage E? A. It will gain mass until it collapses under its own weight. B. It will begin burning carbon in its core. C. It will explode in a supernova. D. It will collapse to make a neutron star. E. It will eject a planetary nebula. Luminosity →1. A star on the main sequence has a surface temperature of10,000 K. Use the H-R diagram to determine it’s luminosity(approximately) and then calculate it’s mass and age (you mayuse solar units). If it were a red giant, could we do this?