Deck 13: Evolution of High-Mass Stars

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Gravity is nothing more than a curvature in the fabric of spacetime.
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Most of the uranium (U; atomic mass = 238)found on the Earth was formed in Type II supernovae explosions.
Question
Special relativity says that moving clocks run slower.
Question
Gravitational lensing allows us to see distant objects that would otherwise be blocked by a star or galaxy.
Question
Einstein's special theory of relativity implies that if a person standing at the front of a train traveling at 0.1 km/s shines a flashlight out in front of the train,the emitted photons will travel at a speed of 300,000.1 km/s.
Question
The abundances of elements in the Crab Nebula (image below),like all planetary nebulae,show that it formed as the byproduct of fusion present in low-mass stars.
The abundances of elements in the Crab Nebula (image below),like all planetary nebulae,show that it formed as the byproduct of fusion present in low-mass stars.  <div style=padding-top: 35px>
Question
Black holes emit no light whatsoever.
Question
If you measure the average brightness and pulsation period of a Cepheid variable star,you can also determine its:

A) age
B) rotation period
C) distance
D) mass
Question
Examine the figure below.Hydrogen burns through the CNO cycle only in high-mass main-sequence stars because of the greater __________ in their cores. <strong>Examine the figure below.Hydrogen burns through the CNO cycle only in high-mass main-sequence stars because of the greater __________ in their cores.  </strong> A) concentration of heavy elements like carbon B) densities C) abundance of hydrogen D) temperatures <div style=padding-top: 35px>

A) concentration of heavy elements like carbon
B) densities
C) abundance of hydrogen
D) temperatures
Question
The production of large numbers of neutrons in nuclear reactions at the core of a massive star helps rob the core of energy and speeds its eventual collapse.
Question
The densest state of matter found in nature occurs inside a white dwarf star.
Question
High-mass stars differ from low-mass stars in that they burn helium to carbon when on the main sequence.
Question
Black holes have an infinitely small radius,but a finite event horizon.
Question
Fusion reactions that create chemical elements heavier than oxygen require energy input,thus these reactions cannot provide a star with power.
Question
Every pulsar is a neutron star,but not every neutron star is a pulsar.
Question
An 8 M \bigodot star will eventually die as a Type Ia supernova.
Question
Type Ia and Type II supernovae are approximately equal in luminosity.
Question
All evolutionary differences between high- and low-mass stars can be attributed to differences in the amount of gravity each star possesses.
Question
Which of the stars from the figure below would show variability in its brightness? <strong>Which of the stars from the figure below would show variability in its brightness?  </strong> A) Star A B) Star B C) Star C D) Star D <div style=padding-top: 35px>

A) Star A
B) Star B
C) Star C
D) Star D
Question
Pulsating variable stars are more commonly known as pulsars.
Question
Once silicon burning begins to fuse iron in the core of a high-mass main-sequence star,it only has a few __________ left to live.

A) seconds
B) days
C) months
D) years
Question
In the figure below,when elements from section A undergo fusion,energy is _______.Because of this fact,it would be ________ to find a high-mass main sequence star with a high concentration of elements from section B. <strong>In the figure below,when elements from section A undergo fusion,energy is _______.Because of this fact,it would be ________ to find a high-mass main sequence star with a high concentration of elements from section B.  </strong> A) released; likely B) absorbed; likely C) released; unlikely D) absorbed; unlikely <div style=padding-top: 35px>

A) released; likely
B) absorbed; likely
C) released; unlikely
D) absorbed; unlikely
Question
What would happen if mass were continually added to a 2 M \bigodot neutron star?

A) The star's radius would increase.
B) The star would eventually become a black hole.
C) The star would erupt as a nova.
D) All of the above would occur.
Question
Once carbon begins burning in the core of a high-mass star,the outer layers begin to fall inward,driving up the fusion rates and speeding up the star's evolution primarily because:

A) the number of particles in the core is decreasing which now take up less space
B) most of the energy is now carried away from the core by escaping neutrinos which have few if any obstacles to leaving the star
C) carbon is a more stable element that appears to settle the star
D) the light given off by the fusion of carbon is a different wavelength than given off by previous reactions so the radiation pressure is much smaller
Question
Essentially all the elements heavier than iron in our galaxy were formed:

A) by supernovae
B) during the formation of black holes
C) by fusion in the cores of the most massive main-sequence stars
D) during the formation of planetary nebulae
Question
Neutron stars have masses that range from:

A) 3.5 M \bigodot to 25 M \bigodot
B) 1.2 M \bigodot to 30 M \bigodot
C) 2.5 M \bigodot to 10 M \bigodot
D) 1.4 M \bigodot to 3 M \bigodot
Question
During the main-sequence evolution of a massive star,increasingly heavier elements are fused in the core,giving the core support for:

A) decreasingly shorter times
B) increasingly longer times
C) an approximately equal amount of time
D) approximately 10,000 years
Question
What is the minimum mass main-sequence star that becomes a Type II supernova?

A) 4 M \bigodot
B) 8 M \bigodot
C) 12 M \bigodot
D) 25 M \bigodot
Question
As a high-mass main-sequence star evolves off the main sequence,it follows a __________ on the H-R diagram.

A) nearly vertical path
B) path of constant radius
C) roughly horizontal path
D) None of the above answers is correct.
Question
A neutron star contains a mass of up to 3 M \bigodot in a sphere with a diameter approximately the size of:

A) an atomic nucleus
B) a school bus
C) a city
D) the Earth
Question
The main difference between Cepheid variable stars and RR Lyrae stars is:

A) their pulsation mechanisms
B) their masses
C) that Cepheids form at much greater distances from Earth
D) that RR Lyrae were discovered much earlier than Cepheids
Question
The collapse of the core of a high-mass star at the end of its life lasts approximately:

A) one second
B) one hour
C) one week
D) one year
Question
Why does the luminosity of a high-mass star remain nearly constant as the star burns heavy elements in its core,even though it is producing millions of times more energy per second than it did on the main sequence?

A) Most of the energy is trapped in the core,increasing the core's temperature.
B) All of the extra energy goes into heating the shells of fusion surrounding the core.
C) Most of the energy is absorbed by the outer layers of the star,increasing the star's radius but leaving its luminosity unchanged.
D) Most of the energy is carried out of the star by escaping neutrinos.
Question
Which of the following is NOT a common characteristic of a neutron star?

A) Extremely high density
B) Enormous magnetic field
C) Very short rotation period
D) All of these are common characteristics of a neutron star.
Question
The Type II supernova that created the Crab Nebula (image below)was seen by Chinese and Arab astronomers in the year A.D.1054 Because the star is 6,500 light-years away from us,we know the star exploded in the year: <strong>The Type II supernova that created the Crab Nebula (image below)was seen by Chinese and Arab astronomers in the year A.D.1054 Because the star is 6,500 light-years away from us,we know the star exploded in the year:  </strong> A) A.D.7554 B) A.D.1054 C) 5446 B.C. D) 7554 B.C. <div style=padding-top: 35px>

A) A.D.7554
B) A.D.1054
C) 5446 B.C.
D) 7554 B.C.
Question
An iron core cannot support a massive main-sequence star because:

A) iron has poor nuclear binding energy
B) iron cannot fuse with other nuclei to produce energy
C) iron supplies too much pressure
D) iron fusion only occurs in a degenerate core
Question
A Cepheid star varies in luminosity because:

A) the entire star pulsates from its core to its surface
B) the outer envelope of the star pulsates
C) the star rotates too quickly
D) the star is too massive to be stable
Question
If a 25 M \bigodot main-sequence star loses mass at a rate of 10-6 M \bigodot /yr then how much mass will it lose in its 3-million-year lifetime?

A) 3 M \bigodot
B) 5 M \bigodot
C) 8 M \bigodot
D) 12 M \bigodot
Question
We can identify only a small fraction of all the pulsars that exist in our galaxy because:

A) gas and dust efficiently block radio photons
B) few swing their beam of synchrotron emission in our direction
C) most have evolved to become black holes,which emit no light
D) massive stars are very rare
Question
When the core of a massive star collapses,a neutron star forms because:

A) all the charged particles are ejected in the resulting explosion
B) protons and electrons combine to minimize electromagnetic forces
C) iron nuclei disintegrate into neutrons
D) neutrinos escaping from the core carry away most of the electromagnetic charge
Question
__________ is the result of mass distorting the fabric of spacetime.

A) Energy
B) Radiation
C) Fusion
D) Gravity
Question
Hawking radiation is emitted by a black hole when:

A) the black hole rotates quickly
B) the black hole accretes material
C) a virtual pair of particles is created from the vacuum of space
D) synchrotron radiation is emitted by infalling charged particles
Question
Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,which muon is most likely to be detected on the ground? <strong>Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,which muon is most likely to be detected on the ground?  </strong> A) Muon A B) Muon B C) Muon C D) Muon D <div style=padding-top: 35px>

A) Muon A
B) Muon B
C) Muon C
D) Muon D
Question
Why do large,high-mass main-sequence stars never become red giants?
Question
Why do main-sequence high-mass stars lose so much mass compared to low-mass stars?
Question
The event horizon of a black hole is defined as:

A) the point of maximum gravity
B) the radius of the original neutron star before it became a black hole
C) the point at which shock waves emanate from the strong gravitational distortion the black hole creates in the fabric of spacetime
D) the radius at which the escape speed equals the speed of light
Question
Light is increasingly redshifted near a black hole because:

A) the photons are moving away from us very quickly as they are sucked into the black hole
B) the photons are moving increasingly faster in order to escape the pull of the black hole
C) time is moving increasingly slower in the observer's frame of reference
D) the curvature of spacetime is increasingly stretched near the black hole,which in turn stretches the wavelengths of the photons
Question
Black holes that are stellar remnants can be found by searching for:

A) dark regions at the centers of galaxies
B) variable X-ray sources
C) extremely luminous infrared objects
D) objects that emit very faint radio emission
Question
What are some ways that finding a Cepheid variable star is significant?
Question
The equivalence principle says that:

A) being stationary in a gravitational field is the same as being in an accelerated reference frame
B) the universe is homogeneous and isotropic
C) at any radius inside a star the outward gas pressure must balance the weight of the material on top
D) mass and energy are interchangeable and neither can be destroyed
Question
If an 8 M \bigodot star loses mass at an average rate of 10-6 M \bigodot /yr in a stellar wind,how many years would it take for its mass to be reduced to 6 M \bigodot ? Would this amount of mass loss be possible in the star's lifetime?
Question
Which of the following is a consequence of Einstein's special theory of relativity?

A) Moving clocks run quicker.
B) The velocity of light depends on the speed of the observer.
C) Distances appear shorter when traveling near the speed of light.
D) Gravity arises because mass distorts spacetime.
Question
If the Earth were to be condensed down in size until it became a black hole,its Schwarzschild radius would be:

A) 1 cm
B) 1 m
C) 1 km
D) 10 km
Question
Assume that a group of explorers traveled to the Orion Nebula,the nearest star-forming cloud at a distance of 1,300 light-years,using revolutionary technology that allowed them to travel at a speed very close to the speed of light.Observers back on Earth would say it took them __________ to get there,but the travelers would say it took them __________ to get there.

A) slightly more than 1,300 years; much less than 1,300 years
B) slightly more than 1,300 years; slightly less than 1,300 years
C) slightly less than 1,300 years; slightly more than 1,300 years
D) exactly 1,300 years; much less than 1,300 years
Question
If the Sun were to be instantly replaced by a 1 M \bigodot black hole,the gravitational pull of the black hole on Earth would be:

A) much greater than it is now
B) the same as it is now
C) much smaller than it is now
D) irrelevant because Earth would be quickly obliterated by the strong tidal force of the black hole
Question
How do Cepheid variable stars differ from RR Lyrae variable stars in their masses,luminosities,and periods?
Question
An indestructible robot would feel __________ as it crossed the event horizon of a black hole.

A) incredibly strong tidal forces
B) intense heating
C) intense gravitational stretching
D) nothing
Question
Gravitational lensing occurs when __________ distorts the fabric of spacetime.

A) a star
B) dark matter
C) a black hole
D) any massive object
Question
While traveling the galaxy in a spacecraft,you and a colleague set out to investigate the 106 M \bigodot black hole at the center of our galaxy.Your colleague hops aboard an escape pod and drops into a circular orbit around the black hole,maintaining a distance of 1 AU,while you remain much farther away in the spacecraft but from which you can easily monitor your colleague.After doing some experiments to measure the strength of gravity,your colleague signals his/her results back to you using a green laser.What would you see?

A) His/her signals,because he/she is orbiting well outside the event horizon.
B) His/her signals,but shifted to a much redder wavelength because he/she is very close to the event horizon.
C) Nothing,because your colleague has crossed the event horizon.
D) Nothing,because no light can escape the gravitational pull of a black hole no matter how close he/she is to it.
Question
Photons have no mass,and Einstein's theory of general relativity says:

A) their paths through spacetime are curved in the presence of a massive body
B) their apparent speeds depend on the observer's frame of reference
C) they should not be attracted to a massive object
D) their wavelengths must remain the same as they travel through spacetime
Question
Examine the figure below.Explain what the equivalence principle is in general relativity.
Examine the figure below.Explain what the equivalence principle is in general relativity.  <div style=padding-top: 35px>
Question
Galileo supposedly experimented with gravity by dropping two objects of different masses from the leaning tower of Pisa at the same instant and observing that they hit the ground at the same time.If Albert Einstein had done the experiment,how would his conclusion have differed from Galileo's?
Question
Examine the figure of a pulsar below.What are pulsars,and what circumstance must the Earth be in for astronomers to observe one?
Examine the figure of a pulsar below.What are pulsars,and what circumstance must the Earth be in for astronomers to observe one?  <div style=padding-top: 35px>
Question
What is the difference between the singularity and the event horizon of a black hole?
Question
The figure below shows the relative abundances of different elements on Earth.Explain why elements less massive than iron are,in general,most common,why there is a small peak at Iron,and why elements more massive than iron are less common.
The figure below shows the relative abundances of different elements on Earth.Explain why elements less massive than iron are,in general,most common,why there is a small peak at Iron,and why elements more massive than iron are less common.  <div style=padding-top: 35px>
Question
Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,why does increasing speed of muons created by cosmic rays at high altitudes mean that additional muons will reach the ground before decaying?
Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,why does increasing speed of muons created by cosmic rays at high altitudes mean that additional muons will reach the ground before decaying?  <div style=padding-top: 35px>
Question
Explain why Einstein's theory of general relativity predicts the existence of gravitational lensing.
Question
Although a Type II supernova shines with a luminosity of 100 billion L \bigodot ,most of the energy in the explosion is emitted in another way.What is it,and how much more energy does it carry compared to the light?
Question
In comparison,the main-sequence lifetime of the star is just less than 81 million years (Table 12.1).Therefore,the star could lose this much mass because its main-sequence lifetime is much longer than the time it would take to do so.

Name at least two processes that speed the collapse of the core of a dying high-mass star.
Question
Which has a smaller radius,a 2 M \bigodot neutron star or a 3 M \bigodot neutron star? What supports each of these stars from collapsing to form a black hole?
Question
While traveling the galaxy in a spacecraft,you and a colleague set out to investigate a 1 M \bigodot black hole.Your colleague hops aboard an escape pod and drops into a circular orbit around the black hole maintaining a distance of 10 km from it,while you remain much farther away inside the spacecraft.After doing some experiments to measure the strength of gravity,your colleague signals the results back to you using a green laser.What would you see,and why?
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Deck 13: Evolution of High-Mass Stars
1
Gravity is nothing more than a curvature in the fabric of spacetime.
True
2
Most of the uranium (U; atomic mass = 238)found on the Earth was formed in Type II supernovae explosions.
True
3
Special relativity says that moving clocks run slower.
True
4
Gravitational lensing allows us to see distant objects that would otherwise be blocked by a star or galaxy.
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k this deck
5
Einstein's special theory of relativity implies that if a person standing at the front of a train traveling at 0.1 km/s shines a flashlight out in front of the train,the emitted photons will travel at a speed of 300,000.1 km/s.
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6
The abundances of elements in the Crab Nebula (image below),like all planetary nebulae,show that it formed as the byproduct of fusion present in low-mass stars.
The abundances of elements in the Crab Nebula (image below),like all planetary nebulae,show that it formed as the byproduct of fusion present in low-mass stars.
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7
Black holes emit no light whatsoever.
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8
If you measure the average brightness and pulsation period of a Cepheid variable star,you can also determine its:

A) age
B) rotation period
C) distance
D) mass
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9
Examine the figure below.Hydrogen burns through the CNO cycle only in high-mass main-sequence stars because of the greater __________ in their cores. <strong>Examine the figure below.Hydrogen burns through the CNO cycle only in high-mass main-sequence stars because of the greater __________ in their cores.  </strong> A) concentration of heavy elements like carbon B) densities C) abundance of hydrogen D) temperatures

A) concentration of heavy elements like carbon
B) densities
C) abundance of hydrogen
D) temperatures
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10
The production of large numbers of neutrons in nuclear reactions at the core of a massive star helps rob the core of energy and speeds its eventual collapse.
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11
The densest state of matter found in nature occurs inside a white dwarf star.
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12
High-mass stars differ from low-mass stars in that they burn helium to carbon when on the main sequence.
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13
Black holes have an infinitely small radius,but a finite event horizon.
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14
Fusion reactions that create chemical elements heavier than oxygen require energy input,thus these reactions cannot provide a star with power.
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15
Every pulsar is a neutron star,but not every neutron star is a pulsar.
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16
An 8 M \bigodot star will eventually die as a Type Ia supernova.
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17
Type Ia and Type II supernovae are approximately equal in luminosity.
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18
All evolutionary differences between high- and low-mass stars can be attributed to differences in the amount of gravity each star possesses.
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19
Which of the stars from the figure below would show variability in its brightness? <strong>Which of the stars from the figure below would show variability in its brightness?  </strong> A) Star A B) Star B C) Star C D) Star D

A) Star A
B) Star B
C) Star C
D) Star D
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20
Pulsating variable stars are more commonly known as pulsars.
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21
Once silicon burning begins to fuse iron in the core of a high-mass main-sequence star,it only has a few __________ left to live.

A) seconds
B) days
C) months
D) years
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22
In the figure below,when elements from section A undergo fusion,energy is _______.Because of this fact,it would be ________ to find a high-mass main sequence star with a high concentration of elements from section B. <strong>In the figure below,when elements from section A undergo fusion,energy is _______.Because of this fact,it would be ________ to find a high-mass main sequence star with a high concentration of elements from section B.  </strong> A) released; likely B) absorbed; likely C) released; unlikely D) absorbed; unlikely

A) released; likely
B) absorbed; likely
C) released; unlikely
D) absorbed; unlikely
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23
What would happen if mass were continually added to a 2 M \bigodot neutron star?

A) The star's radius would increase.
B) The star would eventually become a black hole.
C) The star would erupt as a nova.
D) All of the above would occur.
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24
Once carbon begins burning in the core of a high-mass star,the outer layers begin to fall inward,driving up the fusion rates and speeding up the star's evolution primarily because:

A) the number of particles in the core is decreasing which now take up less space
B) most of the energy is now carried away from the core by escaping neutrinos which have few if any obstacles to leaving the star
C) carbon is a more stable element that appears to settle the star
D) the light given off by the fusion of carbon is a different wavelength than given off by previous reactions so the radiation pressure is much smaller
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25
Essentially all the elements heavier than iron in our galaxy were formed:

A) by supernovae
B) during the formation of black holes
C) by fusion in the cores of the most massive main-sequence stars
D) during the formation of planetary nebulae
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26
Neutron stars have masses that range from:

A) 3.5 M \bigodot to 25 M \bigodot
B) 1.2 M \bigodot to 30 M \bigodot
C) 2.5 M \bigodot to 10 M \bigodot
D) 1.4 M \bigodot to 3 M \bigodot
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27
During the main-sequence evolution of a massive star,increasingly heavier elements are fused in the core,giving the core support for:

A) decreasingly shorter times
B) increasingly longer times
C) an approximately equal amount of time
D) approximately 10,000 years
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28
What is the minimum mass main-sequence star that becomes a Type II supernova?

A) 4 M \bigodot
B) 8 M \bigodot
C) 12 M \bigodot
D) 25 M \bigodot
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29
As a high-mass main-sequence star evolves off the main sequence,it follows a __________ on the H-R diagram.

A) nearly vertical path
B) path of constant radius
C) roughly horizontal path
D) None of the above answers is correct.
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30
A neutron star contains a mass of up to 3 M \bigodot in a sphere with a diameter approximately the size of:

A) an atomic nucleus
B) a school bus
C) a city
D) the Earth
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31
The main difference between Cepheid variable stars and RR Lyrae stars is:

A) their pulsation mechanisms
B) their masses
C) that Cepheids form at much greater distances from Earth
D) that RR Lyrae were discovered much earlier than Cepheids
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32
The collapse of the core of a high-mass star at the end of its life lasts approximately:

A) one second
B) one hour
C) one week
D) one year
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33
Why does the luminosity of a high-mass star remain nearly constant as the star burns heavy elements in its core,even though it is producing millions of times more energy per second than it did on the main sequence?

A) Most of the energy is trapped in the core,increasing the core's temperature.
B) All of the extra energy goes into heating the shells of fusion surrounding the core.
C) Most of the energy is absorbed by the outer layers of the star,increasing the star's radius but leaving its luminosity unchanged.
D) Most of the energy is carried out of the star by escaping neutrinos.
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34
Which of the following is NOT a common characteristic of a neutron star?

A) Extremely high density
B) Enormous magnetic field
C) Very short rotation period
D) All of these are common characteristics of a neutron star.
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35
The Type II supernova that created the Crab Nebula (image below)was seen by Chinese and Arab astronomers in the year A.D.1054 Because the star is 6,500 light-years away from us,we know the star exploded in the year: <strong>The Type II supernova that created the Crab Nebula (image below)was seen by Chinese and Arab astronomers in the year A.D.1054 Because the star is 6,500 light-years away from us,we know the star exploded in the year:  </strong> A) A.D.7554 B) A.D.1054 C) 5446 B.C. D) 7554 B.C.

A) A.D.7554
B) A.D.1054
C) 5446 B.C.
D) 7554 B.C.
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36
An iron core cannot support a massive main-sequence star because:

A) iron has poor nuclear binding energy
B) iron cannot fuse with other nuclei to produce energy
C) iron supplies too much pressure
D) iron fusion only occurs in a degenerate core
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37
A Cepheid star varies in luminosity because:

A) the entire star pulsates from its core to its surface
B) the outer envelope of the star pulsates
C) the star rotates too quickly
D) the star is too massive to be stable
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38
If a 25 M \bigodot main-sequence star loses mass at a rate of 10-6 M \bigodot /yr then how much mass will it lose in its 3-million-year lifetime?

A) 3 M \bigodot
B) 5 M \bigodot
C) 8 M \bigodot
D) 12 M \bigodot
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39
We can identify only a small fraction of all the pulsars that exist in our galaxy because:

A) gas and dust efficiently block radio photons
B) few swing their beam of synchrotron emission in our direction
C) most have evolved to become black holes,which emit no light
D) massive stars are very rare
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40
When the core of a massive star collapses,a neutron star forms because:

A) all the charged particles are ejected in the resulting explosion
B) protons and electrons combine to minimize electromagnetic forces
C) iron nuclei disintegrate into neutrons
D) neutrinos escaping from the core carry away most of the electromagnetic charge
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41
__________ is the result of mass distorting the fabric of spacetime.

A) Energy
B) Radiation
C) Fusion
D) Gravity
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42
Hawking radiation is emitted by a black hole when:

A) the black hole rotates quickly
B) the black hole accretes material
C) a virtual pair of particles is created from the vacuum of space
D) synchrotron radiation is emitted by infalling charged particles
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43
Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,which muon is most likely to be detected on the ground? <strong>Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,which muon is most likely to be detected on the ground?  </strong> A) Muon A B) Muon B C) Muon C D) Muon D

A) Muon A
B) Muon B
C) Muon C
D) Muon D
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44
Why do large,high-mass main-sequence stars never become red giants?
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45
Why do main-sequence high-mass stars lose so much mass compared to low-mass stars?
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46
The event horizon of a black hole is defined as:

A) the point of maximum gravity
B) the radius of the original neutron star before it became a black hole
C) the point at which shock waves emanate from the strong gravitational distortion the black hole creates in the fabric of spacetime
D) the radius at which the escape speed equals the speed of light
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47
Light is increasingly redshifted near a black hole because:

A) the photons are moving away from us very quickly as they are sucked into the black hole
B) the photons are moving increasingly faster in order to escape the pull of the black hole
C) time is moving increasingly slower in the observer's frame of reference
D) the curvature of spacetime is increasingly stretched near the black hole,which in turn stretches the wavelengths of the photons
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48
Black holes that are stellar remnants can be found by searching for:

A) dark regions at the centers of galaxies
B) variable X-ray sources
C) extremely luminous infrared objects
D) objects that emit very faint radio emission
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49
What are some ways that finding a Cepheid variable star is significant?
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50
The equivalence principle says that:

A) being stationary in a gravitational field is the same as being in an accelerated reference frame
B) the universe is homogeneous and isotropic
C) at any radius inside a star the outward gas pressure must balance the weight of the material on top
D) mass and energy are interchangeable and neither can be destroyed
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51
If an 8 M \bigodot star loses mass at an average rate of 10-6 M \bigodot /yr in a stellar wind,how many years would it take for its mass to be reduced to 6 M \bigodot ? Would this amount of mass loss be possible in the star's lifetime?
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52
Which of the following is a consequence of Einstein's special theory of relativity?

A) Moving clocks run quicker.
B) The velocity of light depends on the speed of the observer.
C) Distances appear shorter when traveling near the speed of light.
D) Gravity arises because mass distorts spacetime.
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53
If the Earth were to be condensed down in size until it became a black hole,its Schwarzschild radius would be:

A) 1 cm
B) 1 m
C) 1 km
D) 10 km
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54
Assume that a group of explorers traveled to the Orion Nebula,the nearest star-forming cloud at a distance of 1,300 light-years,using revolutionary technology that allowed them to travel at a speed very close to the speed of light.Observers back on Earth would say it took them __________ to get there,but the travelers would say it took them __________ to get there.

A) slightly more than 1,300 years; much less than 1,300 years
B) slightly more than 1,300 years; slightly less than 1,300 years
C) slightly less than 1,300 years; slightly more than 1,300 years
D) exactly 1,300 years; much less than 1,300 years
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55
If the Sun were to be instantly replaced by a 1 M \bigodot black hole,the gravitational pull of the black hole on Earth would be:

A) much greater than it is now
B) the same as it is now
C) much smaller than it is now
D) irrelevant because Earth would be quickly obliterated by the strong tidal force of the black hole
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56
How do Cepheid variable stars differ from RR Lyrae variable stars in their masses,luminosities,and periods?
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57
An indestructible robot would feel __________ as it crossed the event horizon of a black hole.

A) incredibly strong tidal forces
B) intense heating
C) intense gravitational stretching
D) nothing
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58
Gravitational lensing occurs when __________ distorts the fabric of spacetime.

A) a star
B) dark matter
C) a black hole
D) any massive object
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59
While traveling the galaxy in a spacecraft,you and a colleague set out to investigate the 106 M \bigodot black hole at the center of our galaxy.Your colleague hops aboard an escape pod and drops into a circular orbit around the black hole,maintaining a distance of 1 AU,while you remain much farther away in the spacecraft but from which you can easily monitor your colleague.After doing some experiments to measure the strength of gravity,your colleague signals his/her results back to you using a green laser.What would you see?

A) His/her signals,because he/she is orbiting well outside the event horizon.
B) His/her signals,but shifted to a much redder wavelength because he/she is very close to the event horizon.
C) Nothing,because your colleague has crossed the event horizon.
D) Nothing,because no light can escape the gravitational pull of a black hole no matter how close he/she is to it.
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60
Photons have no mass,and Einstein's theory of general relativity says:

A) their paths through spacetime are curved in the presence of a massive body
B) their apparent speeds depend on the observer's frame of reference
C) they should not be attracted to a massive object
D) their wavelengths must remain the same as they travel through spacetime
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61
Examine the figure below.Explain what the equivalence principle is in general relativity.
Examine the figure below.Explain what the equivalence principle is in general relativity.
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62
Galileo supposedly experimented with gravity by dropping two objects of different masses from the leaning tower of Pisa at the same instant and observing that they hit the ground at the same time.If Albert Einstein had done the experiment,how would his conclusion have differed from Galileo's?
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63
Examine the figure of a pulsar below.What are pulsars,and what circumstance must the Earth be in for astronomers to observe one?
Examine the figure of a pulsar below.What are pulsars,and what circumstance must the Earth be in for astronomers to observe one?
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64
What is the difference between the singularity and the event horizon of a black hole?
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65
The figure below shows the relative abundances of different elements on Earth.Explain why elements less massive than iron are,in general,most common,why there is a small peak at Iron,and why elements more massive than iron are less common.
The figure below shows the relative abundances of different elements on Earth.Explain why elements less massive than iron are,in general,most common,why there is a small peak at Iron,and why elements more massive than iron are less common.
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66
Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,why does increasing speed of muons created by cosmic rays at high altitudes mean that additional muons will reach the ground before decaying?
Normally muons created by cosmic rays at high altitudes decay in a very short time,a time so short that they should not reach the ground.From the figure below,why does increasing speed of muons created by cosmic rays at high altitudes mean that additional muons will reach the ground before decaying?
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67
Explain why Einstein's theory of general relativity predicts the existence of gravitational lensing.
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68
Although a Type II supernova shines with a luminosity of 100 billion L \bigodot ,most of the energy in the explosion is emitted in another way.What is it,and how much more energy does it carry compared to the light?
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69
In comparison,the main-sequence lifetime of the star is just less than 81 million years (Table 12.1).Therefore,the star could lose this much mass because its main-sequence lifetime is much longer than the time it would take to do so.

Name at least two processes that speed the collapse of the core of a dying high-mass star.
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70
Which has a smaller radius,a 2 M \bigodot neutron star or a 3 M \bigodot neutron star? What supports each of these stars from collapsing to form a black hole?
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71
While traveling the galaxy in a spacecraft,you and a colleague set out to investigate a 1 M \bigodot black hole.Your colleague hops aboard an escape pod and drops into a circular orbit around the black hole maintaining a distance of 10 km from it,while you remain much farther away inside the spacecraft.After doing some experiments to measure the strength of gravity,your colleague signals the results back to you using a green laser.What would you see,and why?
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