21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 17, Problem 6QP
To determine

The correct option regarding the size of the star if the high-mass star moves to the right, along the post-main-sequence lines.

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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.
You 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.
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?
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