Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 12, Problem 26QAP
To determine
The reason why birth mass of a star might not fully account for its destiny.
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Observations show that stellar luminosity, L, and mass, M, are related by L x M3.5 for
main sequence stars. Obtain an expression that relates the main sequence life time and
the mass of a star. You should assume that the luminosity is constant throughout a star's
main sequence life time, and that the amount of mass converted into energy by a star while
it is on the main sequence is given by AM
main sequence life time of a 20 Solar mass star given that the Sun is expected to spend
1010 years on the main sequence. Comment on the significance of your answer.
fM, where f is a constant. Estimate the
Most stars (Main sequence) generate light
through the same mechanism. Because of this,
there is an empirical relation between their
mass, M, and their Luminosity, L. This relation
could be written in the form
L/Lsun = (M/Msun,
This relation is shown in the log-log diagram
below. Find the value of a and round it to the
nearest integer.
10
104
102
10-2
10-4
0.1
1.0
2.0
0.2
0.5
5.0
10.0
20.0
Mam (solar masses)
Luminosty (solar units)
The brightness of a "young" star sometimes increases and decreases as a result of regional
areas of "hot" and "cold" on the star's surface as well as variations in the density of the star's
planet-forming debris, which can obstruct light. Suppose that for a particular star, the average
magnitude (measure of brightness) is 4.3 with a variation of ±0.31 (on the magnitude scale,
brighter objects have a smaller magnitude than dimmer objects). Furthermore, the magnitude of
a star is initially observed to be 4.61, and the time between minimum brightness and maximum
brightness is 6.4 days. Write a simple harmonic motion model to describe the magnitude Mof the
star for day t.
Chapter 12 Solutions
Understanding Our Universe
Ch. 12.1 - Prob. 12.1CYUCh. 12.2 - Prob. 12.2CYUCh. 12.3 - Prob. 12.3CYUCh. 12.4 - Prob. 12.4CYUCh. 12.5 - Prob. 12.5CYUCh. 12.6 - Prob. 12.6CYUCh. 12 - Prob. 1QAPCh. 12 - Prob. 2QAPCh. 12 - Prob. 3QAPCh. 12 - Prob. 4QAP
Ch. 12 - Prob. 5QAPCh. 12 - Prob. 6QAPCh. 12 - Prob. 7QAPCh. 12 - Prob. 8QAPCh. 12 - Prob. 9QAPCh. 12 - Prob. 10QAPCh. 12 - Prob. 11QAPCh. 12 - Prob. 12QAPCh. 12 - Prob. 13QAPCh. 12 - Prob. 14QAPCh. 12 - Prob. 15QAPCh. 12 - Prob. 16QAPCh. 12 - Prob. 17QAPCh. 12 - Prob. 18QAPCh. 12 - Prob. 19QAPCh. 12 - Prob. 20QAPCh. 12 - Prob. 21QAPCh. 12 - Prob. 22QAPCh. 12 - Prob. 23QAPCh. 12 - Prob. 24QAPCh. 12 - Prob. 25QAPCh. 12 - Prob. 26QAPCh. 12 - Prob. 27QAPCh. 12 - Prob. 28QAPCh. 12 - Prob. 29QAPCh. 12 - Prob. 30QAPCh. 12 - Prob. 32QAPCh. 12 - Prob. 33QAPCh. 12 - Prob. 34QAPCh. 12 - Prob. 35QAPCh. 12 - Prob. 36QAPCh. 12 - Prob. 37QAPCh. 12 - Prob. 38QAPCh. 12 - Prob. 39QAPCh. 12 - Prob. 40QAPCh. 12 - Prob. 42QAPCh. 12 - Prob. 43QAPCh. 12 - Prob. 44QAPCh. 12 - Prob. 45QAP
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- A star has a period of P = 37 days. It has a radius of 5.7 times the radius of the sun. Calculate it's equatorial speed Vrot. Answer: Okm/s Om/s Check A star has a radius of 5.7 times the radius of the sun and a mass of 18 times the mass of the sun. It rotates at 0.7 of the critical speed W, the speed at which it's surface at the equator is actually in orbit. Recall Vrot is calculated at the equator and W= Vrot/Vorb Calculate it's period P. Answer: Odays Ohours Oseconds Checkarrow_forwardUsing solar units, we find that a star has 4 times the luminosity of the Sun, a mass 1.25 times the mass of the Sun, and a surface temperature of 4090 K (take the Sun's surface temperature to be 5784 K for the sake of this problem). This means the star has a radius of.................... solar radii and is a .................... star (use the classification).arrow_forwardWhy is it that we can describe the life cycle of a star and be confident about it?arrow_forward
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- What is the first event that happens to a star with roughly the mass of our Sun that exhausts the hydrogen in its core and stops the generation of energy by the nuclear fusion of hydrogen to helium? Describe the sequence of events that the star undergoes.arrow_forwardThe lowest mass for a true star is 1/12 the mass of the Sun. What is the luminosity of such a star based upon the mass-luminosity relationship?arrow_forwardArrange the following stars in order of their evolution: A. A star with no nuclear reactions going on in the core, which is made primarily of carbon and oxygen. B. A star of uniform composition from center to surface; it contains hydrogen but has no nuclear reactions going on in the core. C. A star that is fusing hydrogen to form helium in its core. D. A star that is fusing helium to carbon in the core and hydrogen to helium in a shell around the core. E. A star that has no nuclear reactions going on in the core but is fusing hydrogen to form helium in a shell around the core.arrow_forward
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