UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 10, Problem 13QAP
To determine
The information of stars A and B.
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Check out a sample textbook solutionStudents have asked these similar questions
. The spectrum of Star A peaks at 700 nm. The spectrum of Star B peaks at 470 nm. We know
nothing about what stage of stellar evolution either of these stars are in. Which of the
following are true?
A. Star A has a higher luminosity than Star B.
B. Star B has a higher luminosity than Star A.
C. Star A is cooler than Star B.
D. Not enough information to comment on their luminosities.
E. B and C
F. C and D
1. Suppose you observe a tight eclipsing binary with orbital period of 3 days, and radial velocity semi-amplitude for both components of 80 kilometers/second.
a. Without doing any calculation, you know that the mass ratio of the binary is 1:1. Explain why?
b. What are the masses and orbital radii of the two stars?
c. Suppose the binary is perfectly aligned so each eclipse the center of one star goes across the other. How often do you see an eclipse?
d. Suppose one eclipse lasts for 3.5 hours. What is the radius of the stars?
Star A and Star B are a bound binary at a distance of 20 pc from the Earth. Their
separation is 30 AU. Star A has a mass twice that of Star B. The orbital period of the
binary is 100 years. Assume the stars orbit in circular orbits.
a. What is the parallax of Star A, in units of arcsec? Assume parallax is measured from
the Earth. For part a, ignore the presence of the binary companion.
b.
What is the angular separation we would observe between Star A and Star B, in
units of arcsec? If we compare multiple images of this star system taken across
different months and years, which source of motion will be the dominant effect?
What is the total mass of the binary system (combined mass of Star A and Star B)?
Provide your answer in both kg and solar masses.
c.
d. What is the distance from Star A to the center of mass of the binary system?
Chapter 10 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
Ch. 10.1 - Prob. 10.1CYUCh. 10.2 - Prob. 10.2CYUCh. 10.3 - Prob. 10.3CYUCh. 10.4 - Prob. 10.4CYUCh. 10 - Prob. 1QAPCh. 10 - Prob. 2QAPCh. 10 - Prob. 3QAPCh. 10 - Prob. 4QAPCh. 10 - Prob. 5QAPCh. 10 - Prob. 6QAP
Ch. 10 - Prob. 7QAPCh. 10 - Prob. 8QAPCh. 10 - Prob. 9QAPCh. 10 - Prob. 10QAPCh. 10 - Prob. 11QAPCh. 10 - Prob. 12QAPCh. 10 - Prob. 13QAPCh. 10 - Prob. 14QAPCh. 10 - Prob. 15QAPCh. 10 - Prob. 16QAPCh. 10 - Prob. 17QAPCh. 10 - Prob. 18QAPCh. 10 - Prob. 19QAPCh. 10 - Prob. 20QAPCh. 10 - Prob. 21QAPCh. 10 - Prob. 22QAPCh. 10 - Prob. 23QAPCh. 10 - Prob. 24QAPCh. 10 - Prob. 25QAPCh. 10 - Prob. 26QAPCh. 10 - Prob. 27QAPCh. 10 - Prob. 28QAPCh. 10 - Prob. 29QAPCh. 10 - Prob. 31QAPCh. 10 - Prob. 32QAPCh. 10 - Prob. 33QAPCh. 10 - Prob. 34QAPCh. 10 - Prob. 35QAPCh. 10 - Prob. 36QAPCh. 10 - Prob. 37QAPCh. 10 - Prob. 38QAPCh. 10 - Prob. 39QAPCh. 10 - Prob. 40QAPCh. 10 - Prob. 41QAPCh. 10 - Prob. 42QAPCh. 10 - Prob. 43QAPCh. 10 - Prob. 44QAPCh. 10 - Prob. 45QAP
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- If the stars Betelgeuse and Rigel each have the same luminosity, but the temperature of Betelgeuse is lower than Rigel, which star has the greater surface area? O A. Betelgeuse B. Rigel O C. They are the same size. OD. There is insufficient information to answer this question.arrow_forwardThe period–luminosity relation is useful in determining a. the mass of a star for which the distance is known. b. the temperature of a star for which we know the luminosity. c. the radius of the bulge of our galaxy. d. the distance to globular clusters that contain Cepheid variables. e. the mass of the Milky Way Galaxy.arrow_forward4. 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?arrow_forward
- Of the following types of stars, the one that has never been and can never be a giant star is a a. red dwarf. b. white dwarf. c. black dwarf. d. yellow dwarf.arrow_forwardAn eclipsing binary will a. be more luminous than a visual binary. b. always be a spectroscopic binary. c. give off most of its light in the infrared. d. show a constant Doppler shift in its spectral lines. e. show two stars with variable proper motion.arrow_forwardWhy don’t we see hydrogen Balmer lines in the spectra of stars with temperatures of 3,200 K? a. There is no hydrogen in stars this cool. b. The stars are hot enough that most of the hydrogen is ionized and the atoms cannot absorb energy. c. These stars are so cool that nearly all of the hydrogen atoms are in the ground state. d. Stars of this temperature are too cool to produce an absorption spectrum. e. Stars of this temperature are too hot to produce an absorption spectrum.arrow_forward
- 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_forwardHelp with 7arrow_forwardWhich 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_forward
- Polaris is an F7 star. Which of the following spectral types is slightly cooler than Polaris? A. G5 B. M4 C. B6 D. A6 E. K9arrow_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_forwardYou have enough information from this chapter to estimate the distance to Alpha Centauri, the second nearest star, which has an apparent magnitude of 0. Since it is a G2 star, like the Sun, assume it has the same luminosity as the Sun and the difference in magnitudes is a result only of the difference in distance. Estimate how far away Alpha Centauri is. Describe the necessary steps in words and then do the calculation. (As we will learn in the Celestial Distances chapter, this method-namely, assuming that stars with identical spectral types emit the same amount of energy-is actually used to estimate distances to stars.) If you assume the distance to the Sun is in AU, your answer will come out in AU.arrow_forward
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