Wednesday 25 January 2017

TEST BANK 21ST CENTURY ASTRONOMY THE SOLAR SYSTEM 5TH EDITION BY KAY

TEST BANK 21ST CENTURY ASTRONOMY THE SOLAR SYSTEM 5TH EDITION BY KAY



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Chapter 16: Evolution of Low-Mass Stars
Learning Objectives
Define the bold-faced vocabulary terms within the chapter.
16.1 The Life of a Main-Sequence Star Depends on Its Mass
Distinguish between low-, intermediate-, and high-mass stars.
Multiple Choice: 2, 4, 15
Short Answer: 2
Illustrate why mass and luminosity dictate the lifetime of a main-sequence star.
Multiple Choice: 1, 5, 10, 12, 14, 18, 19
Short Answer: 1, 3
Describe the change in a star’s structure over its main-sequence lifetime.
Multiple Choice: 3, 6, 7, 13, 16, 17
Short Answer: 5
16.2 The Star Leaves the Main Sequence
Compare and contrast the behavior of normal and degenerate gases.
Multiple Choice: 22, 31
Short Answer: 7, 12
Illustrate how shell burning around an inert core drives a star up and to the right (e.g., the red-giant branch) of the H-R diagram.
Multiple Choice: 26, 30, 33, 34, 35, 36, 37
Short Answer: 8, 9
Describe the change in a star’s structure from when it begins shell burning until it climbs the red-giant branch.
Multiple Choice: 20, 21, 23, 24, 25, 27, 28, 29, 32, 38
Short Answer: 10, 11
16.3 Helium Burns in the Degenerate Core
Explain how helium is burned via the triple-alpha process.
Multiple Choice: 39, 41
Short Answer: 13, 15
Illustrate why the ignition of fusion in degenerate material leads to an explosion.
Multiple Choice: 40
Short Answer: 14
Describe the change in a star’s structure from when it begins triple-alpha burning until it settles on the horizontal branch.
Multiple Choice: 42, 43
Short Answer: 16, 17, 18
16.4 Dying Stars Shed Their Outer Layers
Compare and contrast the internal structure of red-giant and asymptotic-giant branch stars.
Multiple Choice: 45
Illustrate how mass-loss from an AGB star creates a planetary nebula and white dwarf.
Multiple Choice: 46, 49, 55, 56, 57
Short Answer: 19, 22
Explain the sources of radiation from planetary nebulae and white dwarfs.
Multiple Choice: 51
Short Answer: 21
Describe how stellar evolution and mass loss effect planets around a low-mass star.
Multiple Choice: 58
Short Answer: 23
Describe the change in a star’s structure from when it climbs the AGB until it becomes a cooling white dwarf.
Multiple Choice: 48, 50, 52, 53, 54, 59, 60
Short Answer: 20, 24
16.5 Binary Star Evolution
Explain how a binary system of stars is able to transfer mass between each star.
Multiple Choice: 68
Short Answer: 25
Illustrate the sequence of evolutionary stages in a close binary system with mass transfer.
Multiple Choice: 8, 62, 66
Short Answer: 28
Differentiate the causes and characteristics of novae and Type Ia supernovae.
Multiple Choice: 61, 63, 64, 65, 67, 69, 70
Short Answer: 26, 27, 29, 30
Working It Out 16.1
Estimate the main-sequence lifetime of a star using its mass.
Multiple Choice: 9, 11
Short Answer: 4, 6
Working It Out 16.2
Determine the escape speed from the surface of a star.
Multiple Choice: 44, 47
MULTIPLE CHOICE
1.      What factor is most important in determining a star’s position on the main sequence and subsequent evolution?
a.       temperature
b.      pressure
c.       mass
d.      radius
e.       color
2.      The evolutionary cutoff between low- and high-mass stars occurs at approximately
a.       1.5 M.
b.      1 M.
c.       3 M.
d.      5 M.
e.       10 M.
3.      A 10 M star will evolve through the same phases as a
a.       1 M star.
b.      5 M star.
c.       20 M star.
d.      0.5 M star.
4.      If a main-sequence star’s core temperature increased, fusion reaction rates would ________ because the protons would be moving _______.
a.       decrease; slower
b.      increase; faster
c.       increase; slower
d.      remain unchanged; the same speed as before

5.      The __________ a main-sequence star is, the more hydrogen it has to burn, and the ______ its main-sequence lifetime lasts.
a.       more massive; shorter
b.      more massive; longer
c.       less massive; shorter
d.      larger; longer
6.      Stars evolve primarily because
a.       they convert all their mass to energy.
b.      they lose all their mass into space.
c.       their core temperatures decrease steadily as they evolve.
d.      they use up the fuel in their cores.
7.      The percentage of hydrogen in the Sun’s core today is roughly_______ of what it was originally.
a.       half
b.      one third
c.       one quarter
d.      less than ten percent
.
8.      If a main-sequence star were gaining mass by being in an interacting binary system, what would happen to that star’s luminosity and why?
a.       The luminosity would increase because the star would become a nova.
b.      The luminosity would increase because the star’s central pressure would rise and the rate of nuclear reactions would increase.
c.       The luminosity would decrease because the outgoing energy has to pass through more layers in the star.
d.      The luminosity would decrease because high-mass stars are fainter.
e.       The luminosity would decrease because the star would quickly turn into a white dwarf.
9.      The main-sequence lifetime of a star is given by which equation?
a.       t M/L
b.      t L/M
c.       t M 2/L
d.      t L2/L
e.       t M/L2
10.      Which star spends the longest time as a main-sequence star?
a.       0.5 M
b.      1 M
c.       3 M
d.      6 M
e.       10 M
11.      How long will a 2 M star live as a main-sequence star?
a.       12 million years
b.      180 million years
c.       1.8 billion years
d.      12 billion years
e.       18 billion years



12.      If the Milky Way formed stars at approximately a constant rate over the last 14 billion years, what fraction of the M-type stars that ever formed in it can still be found as main-sequence stars today? (Note that M-type stars have a mass of approximately 0.5 M.)
a.       10 percent
b.      33 percent
c.       50 percent
d.      75 percent
e.       100 percent
13.      For main-sequence stars in hydrostatic equilibrium, at any interior radius there exists a balance between the downward gravitational force at that radius and the
a.       pressure from a degenerate electron core.
b.      convective force of material rising from the interior.
c.       energy released from fusion reactions in the core.
d.      outward gas pressure from the material inside that radius.
e.       energy released by fusion reactions in a shell surrounding the degenerate core.
14.      Use the figure shown below and the relationship t M/L to estimate the main-sequence lifetime of a star with a mass equal to 10 times that of the Sun. (Note that the Sun’s main-sequence lifetime is about 1010 years.)
a.       3 million years
b.      30 million years
c.       300 million years
d.      3 billion years
e.       30 billion years
15.      Using the data in the figure shown below, identify the spectral type of a star that has a main-sequence lifetime of about 10 billion years.
a.       A5
b.      F5
c.       K0
d.      G2
e.       M8
16.      As a main-sequence star burns its core supply of hydrogen, what happens?
a.       Helium begins to fuse throughout the core.
b.      Helium fuses in a shell surrounding the core.
c.       Helium fusion takes place only at the very center of the core, where temperature and pressure are highest.
d.      helium builds up in the core.
e.       Helium builds up everywhere in the star’s interior.
17.      A main-sequence star is unique because
a.       hydrostatic equilibrium exists at all radii.
b.      energy transport occurs via convection throughout much of its interior.
c.       carbon burning occurs in its core.
d.      it emits strong surface winds.
e.       hydrogen burning occurs in its core.
18.      Considering how long it took for life to arise on Earth, which of the stellar spectral types shown below would be the least likely to have planets with life?
a.       B0
b.      G2
c.       K0
d.      M0
e.       M5



19.      The luminosity of a star depends on
a.       its mass and age.
b.      its mass.
c.       its age.
d.      its distance.
e.       its mass, age, and distance.
20.      When a star depletes its core supply of hydrogen, _________ causes the core to collapse while increased gas _________ is exerted on the atmosphere.
a.       pressure; pressure
b.      radiation; gravity
c.       gravity; gravity
d.      gravity; pressure
e.       gravity, radiation
21.      The Sun will become a red giant star in about
a.       15 billion years.
b.      10 billion years.
c.       5 billion years.
d.      1 billion years.
22.      ___________ keeps the core of a red giant star from collapsing.
a.       Pressure from protons
b.      Pressure from neutrons
c.       Radiation pressure from hydrogen fusion
d.      Degenerate pressure from electrons
23.      Place the evolutionary stages shown in the figure below in order from youngest to oldest.
a.       1, 2, 3
b.      2, 3, 1
c.       3, 2, 1
d.      3, 1, 2
e.       2, 1, 3
24.      Once the core of a low-mass main-sequence star runs out of hydrogen, ____________ stops until the core temperature is high enough for helium fusion to begin.
a.       hydrogen fusion throughout the star
b.      hydrogen fusion in the core
c.       hydrogen fusion near the surface
d.      helium fusion throughout the star
25.      When a star burns hydrogen in a shell, how does the energy released compare with when the star burned hydrogen in the core?
a.       There will be an equal amount of energy produced.
b.      There will be less energy produced.
c.       There will be more energy produced.
d.      There will be more energy produced only if the star’s mass exceeds that of the Sun.
26.      A low-mass star that burns helium in its core and hydrogen in a shell surrounding the core is ________ than a similar star that burns hydrogen only _________.
a.       more luminous; in its core
b.      more luminous; in a shell around a degenerate core
c.       less luminous; in a shell around a degenerate core
d.      less luminous; in its core
27.      If there were mixing processes in a main-sequence star with a radiative zone (there aren’t) that churned up all the material in the interior, we would expect that the main-sequence lifetime would be _________ because _________.
a.       shorter; because the star would turn into a giant faster
b.      shorter; because the star would burn hydrogen faster and have a higher luminosity
c.       longer; because helium nuclei have a higher mass than hydrogen nuclei
d.      shorter; because the star would never turn into a red giant
e.       longer; because more hydrogen would be available to burn
28.      The Sun will likely stop being a main-sequence star in
a.       5,000 years.
b.      5 million years.
c.       50 million years.
d.      500 million years.
e.       5 billion years.
29.      During evolutionary phase A in the figure shown below, the star is _________. In evolutionary phase B, it is _________.
a.       expanding; expanding
b.      expanding; contracting
c.       contracting; losing mass
d.      contracting; contracting
e.       gaining mass; contracting
30.      Using the figure shown below, identify the star with the smallest radius.
a.       star A
b.      star B
c.       star C
d.      star D
e.       star E
31.      Degenerate refers to a state of matter at
a.       low density.
b.      high density.
c.       low luminosity.
d.      high luminosity.
e.       high temperature.
32.      A 1-M red giant star’s energy comes from
a.       hydrogen burning to helium in its core.
b.      helium burning to carbon in its core.
c.       hydrogen burning to helium in a shell surrounding its core.
d.      helium burning to carbon in a shell surrounding its core.
e.       hydrogen burning to carbon in a shell surrounding its core.
33.      As a red giant star evolves, hydrogen shell burning proceeds increasingly faster due to
a.       rotational energy from the star’s rapid rotation.
b.      heat released from the core’s contraction.
c.       pressure from the contracting envelope.
d.      release of energy stored in magnetic fields.
e.       energy from the fusion of heavier elements.
34.      When a spectral-type G2 star like the Sun leaves the main sequence, its
a.       luminosity and surface temperature both stay the same.
b.      luminosity and surface temperature both decrease.
c.       luminosity increases and its surface temperature decreases.
d.      luminosity and surface temperature both increase.
e.       luminosity decreases and its surface temperature increases.
35.      What is the radius of a red giant star that has a luminosity of 300 L and a temperature of 4000 K? (Note that the temperature of the Sun is 5800 K.)
a.       8 R
b.      13 R
c.       25 R
d.      36 R
e.       65 R
36.      As a subgiant star becomes a red giant, its luminosity increases while its temperature remains approximately constant. What does this mean?
a.       The radius is decreasing.
b.      The radius is increasing.
c.       The star is getting hotter.
d.      The star is losing mass.
e.       The star is rotating more slowly.
37.      As a low-mass main-sequence star runs out of fuel in its core, it grows more luminous. How is this possible?
a.       It explodes.
b.      It begins to fuse helium in the core.
c.       The core expands as it runs out of fuel.
d.      The core shrinks, bringing more hydrogen fuel into the burning region.
e.       Convection takes place throughout the interior, bringing more fuel to the core.
38.      A low-mass main-sequence star’s climb up the red giant branch is halted by
a.       the end of hydrogen shell burning.
b.      the beginning of helium fusion in the core.
c.       electron-degeneracy pressure in the core.
d.      instabilities in the star’s expanding outer layers.
e.       an explosion that destroys the star.
39.      Helium burns in the core of a horizontal branch star via _________ and produces _________.
a.       the triple-alpha reaction; carbon
b.      the proton-proton chain; lithium
c.       the triple-alpha reaction; oxygen
d.      the proton-proton chain; iron
e.       the proton-proton chain; calcium
40.      When helium fusion begins in the core of a red giant star, the situation quickly gets out of control because electron-degeneracy pressure does not respond to changes in
a.       luminosity.
b.      density.
c.       gravity.
d.      temperature.
e.       magnetic field strength.
.
41.      What is the name of the nuclear reaction illustrated in the figure shown below?
a.       the proton-proton chain
b.      the CNO cycle
c.       beta decay
d.      the triple-alpha process
e.       the alpha-beta reaction
42.      During which phase of the evolution of a low-mass star does it have two separate regions of nuclear burning occurring in its interior?
a.       pre–main sequence
b.      main sequence
c.       red giant
d.      horizontal branch
e.       white dwarf
43.      A star’s surface temperature during the horizontal branch phase is determined primarily by its
a.       luminosity.
b.      mass and chemical composition.
c.       magnetic field strength.
d.      rotation rate.
e.       radius.
44.      A particular asymptotic giant branch star has approximately the same mass as the Sun but 100 times its radius. Compared with the Sun, what is the escape velocity from that star?
a.       0.01 times that of the Sun
b.      0.1 times that of the Sun
c.       the same as that of the Sun
d.      10 times that of the Sun
e.       100 times that of the Sun
45.      Asymptotic giant-branch stars have _________ luminosities, _________ radii, and _________ escape velocities.
a.       large; large; large
b.      large; small; large
c.       large; large; small
d.      small; large; small
e.       small; small; large
46.      Asymptotic giant branch stars have high-mass loss rates because they
a.       are rotating quickly.
b.      have weak magnetic fields.
c.       have strong magnetic fields.
d.      have low surface gravity.
e.       have high surface temperatures.
47.      What is the escape velocity from the surface of a 1 M AGB star that has a radius of 100 R?
a.       60 km/s
b.      120 km/s
c.       240 km/s
d.      620 km/s
e.       800 km/s
48.      When a low-mass star becomes an AGB star and has a temperature of 3300 K, at what wavelength will it shine the brightest?
a.       650 nm, red visible
b.      880 nm, infrared
c.       2.5 µm, infrared
d.      1 mm, microwave
e.       10 m, radio
49.      A star like the Sun will lose about _________ of its mass before it evolves to become a white dwarf.
a.       3 percent
b.      30 percent
c.       60 percent
d.      75 percent
50.      What is a planetary nebula?
a.       a planet surrounded by a glowing shell of gas
b.      the disk of gas and dust surrounding a young star that will soon form a star system
c.       the ejected envelope of a giant star surrounding the remnant of a star
d.      a type of young, medium-mass star
e.       leftover gas from a supernova explosion
51.      What ionizes the gas in a planetary nebula and makes it visible?
a.       X-ray photons emitted by a pulsar
b.      ultraviolet photons emitted by a white dwarf
c.       the shock wave from a supernova
d.      hydrogen burning in the nebular gas
e.       infrared photons from a nova explosion
52.      Stars with masses similar to the Sun will lose _________ of their mass before they become white dwarfs.
a.       about 10 percent
b.      about 30 percent
c.       nearly all
d.      none
53.      The Sun eventually will become a(n)
a.       nova.
b.      neutron star.
c.       black hole.
d.      white dwarf.
54.      A star like the Sun will eventually become a(n) __________ star.
a.       proton degenerate brown dwarf
b.      neutron degenerate black hole
c.       electron degenerate white dwarf
d.      electron degenerate red dwarf
55.      What would you need to measure in a planetary nebula to determine how long ago its parent star died?
a.       the mass of the white dwarf
b.      the mass and radius of the white dwarf
c.       the nebula’s temperature and radius
d.      the nebula’s radius and expansion velocity
e.       the composition of the gas in the nebula
56.      The Ring Nebula is a planetary nebula that currently has a radius of 1.2 × 1013 km and an expansion velocity of 250 km/s. Approximately how long ago did its parent star die and eject its outer layers?
a.       1,500 years ago
b.      3,200 years ago
c.       5,400 years ago
d.      8,000 years ago
e.       28,000 years ago
57.      The gas in a planetary nebula is composed of
a.       primarily hydrogen from the surrounding interstellar medium.
b.      primarily hydrogen from the post-asymptotic giant branch star.
c.       hydrogen and heavier elements like helium and carbon processed in the core of the post-asymptotic giant branch star.
d.      primarily helium from the post-asymptotic giant branch star.
e.       carbon and helium from the nuclear reactions that took place on the horizontal branch.
58.      A white dwarf with a temperature of 30,000 K would shine brightest at what wavelength?
a.       4 nm, X-rays
b.      100 nm, ultraviolet
c.       400 nm, blue visible
d.      1 µm, infrared
e.       10 µm, infrared
59.      As a white dwarf star gradually cools, its radius stays approximately constant. What is happening to the white dwarf’s luminosity?
a.       It stays the same.
b.      It increases.
c.       It increases then decreases periodically.
d.      It decreases.
e.       You can’t tell from the information given.


60.      In a white dwarf, what is the source of pressure that halts its contraction as it cools?
a.       thermal pressure of the extremely hot gas
b.      electrons packed so closely that they become incompressible
c.       neutrons that resist being pressed further together
d.      carbon nuclei that repel each other strongly because they each contain six protons
e.       rapid rotation
61.      What are two ways that Type Ia supernovae can be produced?
a.       mass transfer and stellar mergers
b.      helium flash and stellar mergers
c.       mass transfer and helium flash
d.      helium burning and mass transfer
e.       carbon burning and mass transfer
62.      One star in a binary will almost always become a red giant before the other because
a.       one star is always larger in radius than the other.
b.      binaries always have one star twice as massive as the other.
c.       small differences in main-sequence masses yield large differences in main-sequence ages.
d.      the more massive binary star always gets more mass from the less massive binary star when both are main-sequence stars.
e.       one star always spins faster than the other.
63.      A nova is the result of which explosive situation?
a.       mass transfer onto a white dwarf
b.      helium burning in a degenerate stellar core
c.       a white dwarf that exceeds the Chandrasekhar limit
d.      the collision of members of a binary system
e.       runaway nuclear reactions in the core
64.      A 1-M star in a binary system could create which chemical element and eject it into the interstellar medium?
a.       carbon
b.      helium
c.       iron
d.      all of the above
65.      A Type Ia supernova occurs when a white dwarf exceeds a mass of
a.       0.8 M.
b.      1.4 M.
c.       2.3 M.
d.      5.4 M.
e.       10 M.
66.      Novae and Type Ia supernovae can occur in binary star systems because __________ can mean large differences in their __________.
a.       large differences in the stars’ temperatures; sizes
b.      small differences in the stars’ masses; main-sequence lifetimes
c.       small differences in the stars’ sizes; main-sequence lifetimes
d.      small differences in the stars’ separation; main-sequence lifetimes
67.      A Type Ia supernova can be as luminous as
a.       10 billion suns.
b.      1 billion suns.
c.       1 million suns.
d.      1,000 suns.


68.      You observe a 0.8 M white dwarf in a binary orbit around a main-sequence star of mass 1.4 M. Which of the following is most likely the original mass of the star that became the white dwarf?
a.       0.5 M
b.      1 M
c.       0.8 M
d.      1.4 M
e.       3 M
69.      If an 0.8 M white dwarf could accrete matter from a binary companion at a rate of 109 M/yr, how long would it take before it exploded as a Type Ia supernova?
a.       600 thousand years
b.      20 million years
c.       200 million years
d.      600 million years
e.       1 billion years
70.      A Type Ia supernova has a luminosity of approximately
a.       10 thousand L.
b.      10 million L.
c.       1 billion L.
d.      10 billion L.
e.       10 trillion L.
SHORT ANSWER
1.      In what two ways does temperature affect the rate of nuclear reactions?
2.      How many times more luminous is a 5 M star compared with a 2 M star?
3.      Why does the core of a main-sequence star have to be hotter to burn helium into carbon than hydrogen into helium?
4.      Calculate the main-sequence lifetimes of the following stars of different spectral types: B0 (18 M), B5 (6 M), A5 (2 M), F5 (1.3 M), and M0 (0.5 M). What trend do you notice in your results?
5.      Consider the figure shown below, where the evolution in chemical composition of the Sun’s interior is shown at three different times during its life. How do the relative percentages of hydrogen and helium change at a fractional radius of 0.1 solar radii, from the time the Sun formed until it exhausts its core supply of hydrogen in 5 billion years?
6.      How many times longer does a 2 M main-sequence star live compared to a 10 M main-sequence star?
7.      Consider a red giant star with a luminosity of 200 L and a radius of 50 R. Using the luminosity–temperature- radius relationship (L R2T 4), calculate how hot this star’s surface temperature will be compared to the Sun, whose temperature is 5,800 K.
8.      Consider a 1 M star’s journey up the red giant branch. Its luminosity will change from 10 L to nearly 1,000 L. How will its temperature and radius change as the star ascends? (Recall that L R2T4.)
9.          What stops a red giant from cooling to continuously lower temperatures, and why?
10.      Describe the structure of a red giant star just before the helium flash takes place. How does this compare with the structure of a horizontal-branch star?
11.      How can the core of a star be degenerate with respect to the electrons but nondegenerate with respect to the nuclei?
12.      Explain what the triple-alpha process is and when it takes place in evolving stars.
13.      Describe the helium flash that occurs when helium fusion ignites in the core of a red giant star.
14.      The 8Be nucleus is highly unstable, and would break apart after only 10-12 seconds if left alone. Explain why it is nevertheless able to participate in the triple alpha process.
15.      What causes a star to leave the red giant phase and settle on the horizontal branch?
16.      Why is a star’s time as a horizontal branch star so much shorter than its time as a main sequence star?
17.      When the Sun becomes an AGB star, its radius will be approximately 100 R. If its mass at this point will be approximately the same as it is now, how will its surface gravity as an AGB star compare to its present surface gravity as a main-sequence star? (Note that g = GM/R2.)
18.      What is the shortest phase of evolution for a one solar mass star that we can visibly see?
19.      What is “degenerate” in the degenerate core of a white dwarf?
20.      A white dwarf star has a luminosity equal to 104 L and a temperature twice that of the Sun (i.e., T = 10,600 K). What is the radius of the white dwarf, expressed as a ratio to the solar radius?
21.      Explain why stars are able to lose mass as they expand to red giant size.
22.      Explain which types of main-sequence stars would be more likely to have planets with complex life.
23.      What is a planetary nebula, and why are many planetary nebulae not symmetrical?
24.      Explain the significance of Roche lobes in a binary system.
25.      What types of chemical elements can low-mass stars contribute to the enrichment of the interstellar medium and how are they produced?
26.      Why are novae thought to reoccur repeatedly?
27.      What types of stars cause Type Ia supernovae, and what makes them explode?
28.      How can a Type Ia be distinguished, and how can its distance be measured from observations?
29.      Describe the similarities and differences between the helium flash in the core of a red giant star and the explosive hydrogen burning on the surface of a white dwarf star.



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