21ST CENTURY ASTR.:STARS..(LL)-PACKAGE
6th Edition
ISBN: 9780393448450
Author: Kay
Publisher: NORTON
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Chapter 16, Problem 10QP
To determine
The movement of star.
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Which 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.
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 T
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?
Chapter 16 Solutions
21ST CENTURY ASTR.:STARS..(LL)-PACKAGE
Ch. 16.1 - Prob. 16.1CYUCh. 16.3 - Prob. 16.3CYUCh. 16.4 - Prob. 16.4CYUCh. 16.5 - Prob. 16.5CYUCh. 16 - Prob. 1QPCh. 16 - Prob. 2QPCh. 16 - Prob. 3QPCh. 16 - Prob. 4QPCh. 16 - Prob. 5QPCh. 16 - Prob. 6QP
Ch. 16 - Prob. 8QPCh. 16 - Prob. 9QPCh. 16 - Prob. 10QPCh. 16 - Prob. 11QPCh. 16 - Prob. 12QPCh. 16 - Prob. 13QPCh. 16 - Prob. 14QPCh. 16 - Prob. 15QPCh. 16 - Prob. 16QPCh. 16 - Prob. 17QPCh. 16 - Prob. 18QPCh. 16 - Prob. 19QPCh. 16 - Prob. 20QPCh. 16 - Prob. 21QPCh. 16 - Prob. 23QPCh. 16 - Prob. 24QPCh. 16 - Prob. 25QPCh. 16 - Prob. 26QPCh. 16 - Prob. 27QPCh. 16 - Prob. 28QPCh. 16 - Prob. 29QPCh. 16 - Prob. 30QPCh. 16 - Prob. 31QPCh. 16 - Prob. 32QPCh. 16 - Prob. 33QPCh. 16 - Prob. 34QPCh. 16 - Prob. 35QPCh. 16 - Prob. 36QPCh. 16 - Prob. 37QPCh. 16 - Prob. 38QPCh. 16 - Prob. 39QPCh. 16 - Prob. 40QPCh. 16 - Prob. 41QPCh. 16 - Prob. 42QPCh. 16 - Prob. 43QPCh. 16 - Prob. 44QPCh. 16 - Prob. 45QP
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- The total mass of a binary system can be calculated from a. the ratio of the angular separation from the center of mass of each of the stars. b. the distance to the binary and its radial velocity. c. the semi major axis and period of the orbit. d. the radial velocities of the two stars. e. the time required for the small star to eclipse the larger star.arrow_forwardYou discover a binary star system in which one member is a 15 solar-mass main-sequence star and the other star is a 10 solar-mass giant. Why should you be surprised, at least at first? A. It doesn't make sense to find a giant in a binary star system. B. The two stars in a binary system should both be at the same point in stellar evolution; that is, they should either both be main-sequence stars or both be giants. C. The two stars should be the same age, so the more massive one should have become a giant first. D. The odds of ever finding two such massive stars in the same binary system are so small as to make it inconceivable that such a system could be discovered. E. A star with a mass of 15 solar-mass is too big to be a main-sequence star.arrow_forward5arrow_forward
- Which of the following is wrong? A. Tidal effects in a binary star system become more important when one or both stars become giant stars. B. There is no fusion occurring in the core of a low-mass red giant star. C. Gold (the element) is produced during the supernova explosions of high-mass stars. D. Suppose the star Betelgeuse were to become a supernova tomorrow, we'd see by naked eyes a cloud of gas expanding away from the position where Betelgeuse used to be. Over a period of a few weeks, this cloud would fill a large part of our sky.arrow_forwardA star such as our Sun will eventually evolve to a “red giant” star and then to a “white dwarf” star. A typical white dwarf is approximately the size of Earth, and its surface temperature is about 2.4 × 104 K. A typical red giant has a surface temperature of 3.2 × 103 K and a radius ~90000 times larger than that of a white dwarf. Take the radius of the red giant to be 6 × 1010 m. What is the average radiated power per unit area of the red giant?_________W/m2 What is the average radiated power per unit area of the white-dwarf?________W/m2 What is the total power radiated by the red giant? _________W What is the total power radiated by the white dwarf? ________W Please show full work! Thank you!arrow_forwardA group of graduate students, bored during a cloudy night at a the observatory, begin to make bets about the time different stars will take to evolve. If they have a cluster of stars which were all born roughly the same time, and want to know which star will become a red giant first, which of the following stars should they bet on? a. a star that would type O on the main sequence star b. a star about 1/2 the mass of our sun c. a star about 8% the mass of our sun d. all stars reach the red giant stage in roughly the same number of yearsarrow_forward
- B1arrow_forwardThere 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.arrow_forwardThe theory that the collapse of a massive star’s iron core produces neutrinos was supported by a. the size and structure of the Crab nebula. b. laboratory measurements of the mass of the neutrino. c. the brightening of supernovae a few days after they are first visible. d. underground counts from solar neutrinos. e. the detection of neutrinos from the supernova of 1987.arrow_forward
- The gas and dust cocoon surrounding young stars a. is blown away when the young stellar surface heats up and becomes more luminous. b. remains surrounding the young star throughout its adult life. c. eventually collapses onto the star, increasing its mass and luminosity. d. evaporates gradually over the lifetime of the star. e. expands as the star’s luminosity increases eventually reaching a distance far enough that it condenses to form comets.arrow_forwardBetelgeuse is a nearby supergiant that will eventually explode into a supernova. At peak brightness, the supernova will have a luminosity of about 20 billion times the Sun. It is 600 lightyears away. All stellar brightnesses are compared with Vega, which has an intrinsic luminosity of about 60 times the sun, a distance of 25 lightyears away, an absolutely magnitude of 0.6 and an apparent magnitude of 0. a) At peak brightness, how many times brighter will betelgeuses be than Vega? b) Approximately what apparent magnitude does this correspond to? c) The sun is about -26.5 apparent magnitude. What fraction of the Sun'ss brightness will Betelgeuse be?arrow_forward12: A star with spectral type A0 has a surface temperature of 9600 K and a radius of 2.2 RSun. How many times more luminous is this star than the Sun? (if it is less luminous enter a number less than one) Answer: 36.854 13:This star has a mass of 3.3 MSun. what is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr. Please answer question 13 thank you.arrow_forward
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