Midterm Flashcards

1
Q

What is the Doppler effect?

A

The Doppler effect is caused by the motion of a light source either toward or away from an observer. When a light source moves toward or away from an observer, the observed wavelength is shifted from the emitted wavelength by an amount proportional to the speed of the object. Motion toward the observer results in a blue shift (shift to shorter wavelengths). Motion away from the observer results in a red shift (shift to longer wavelengths).

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2
Q

How much larger is the Sun than the Earth in diameter? In volume?

A

100× larger than that of the Earth. Thus, the volume of the Sun is about 10^6× (one million times) larger than that of the Earth
i.e. if the Sun were hollow it would take 10^6 Earth-sized objects to fill it.

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3
Q

What is hydrostatic equilibrium?

A

Hydrostatic equilibrium is a balance between the outward gas pressure in the Sun and the inward pull of gravity. The Sun supports its own weight by its outward gas pressure, so that it is neither contracting nor expanding.

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4
Q

What are the central and surface temperatures of the Sun?

A

The central temperature of the Sun is about 1.6 × 10^7 K and the temperature in the photosphere is about 5800 K.

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5
Q

What are the two most abundant elements in the Sun?

A

Hydrogen and helium are the two most abundant elements in the Sun (as well as in the universe as a whole).

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6
Q

What is the physical state of the material in the Sun?

A

Below the photosphere of the Sun, the hydrogen and helium in the Sun are in an ionized state, i.e. the electrons move freely rather than being bound to a particular nucleus.

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7
Q

What is the energy source of the Sun? Describe the physical process that releases energy. Discuss where this process occurs in the Sun and why it occurs there.

A

The Sun produces energy by the thermonuclear fusion of hydrogen to helium in its core. Through a series of reactions, four hydrogen nuclei are fused to produce one helium nucleus plus energy. The combined mass of the four hydrogen nuclei is slightly more than that of the resulting helium nucleus. The lost mass is converted to an equivalent amount of energy according to the relation E = mc2.
Nuclear fusion occurs only in the core of the Sun, since it is only there that the temperature is sufficiently high (T > 10^7 K). High temperature is required for nuclear fusion, since nuclei must collide at high speed in order to overcome their electrical repulsion.

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8
Q

About how much longer will the Sun’s present nuclear energy reserve last?

A

The Sun’s present hydrogen energy reserve will last for another 5 × 10^9 years (5 billion).

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9
Q

What mechanisms transport energy in the Sun? Describe each process. Where is each mechanism important?

A

Energy is transported in the Sun by both radiation and convection. In radiation, photons random walk outward in the Sun, carrying energy outward. In convection, hot gas rises and cool gas sinks, also carrying energy outward. Radiation is important through most of the solar interior, except for the outer 30% of the solar radius just below the photosphere, where convection is most important.

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10
Q

What is the evidence that convection occurs in the Sun?

A

The observation of granulation in the Sun’s photosphere provides direct evidence of convection. The bright areas in the granulation pattern are the tops of rising columns of hotter gas. The dark areas are sinking columns of cooler gas.

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11
Q

List the layers of the solar atmosphere, in order of increasing distance from the Sun. Discuss the temperature variation in the solar atmosphere.

A

layers: photosphere, chromosphere, transition zone, corona
The temperature is about 5800 K in the photosphere, drops slightly going outward into the chromosphere, and then begins to rise sharply in the transition zone. The temperature reaches over 10^6 K in the corona.

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12
Q

What is a spicule?

A

a jet of hot gas shooting upward found in the chromosphere

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13
Q

What is a prominence?

A

a looping region of hot gas, supported by magnetic field, that extends into the corona

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14
Q

What is a flare?

A

a violent outburst of radiation and particles from a small area in the solar atmosphere

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15
Q

Describe the properties of a sunspot.

A

Sunspots are regions in the photosphere that are somewhat cooler than the surrounding area and thus emit less light. They are regions of strong magnetic field, which inhibits heat flow. Sunspots tend to be found in groups of at least two. They last for about two months.

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16
Q

How often does a sunspot maximum occur?

A

A sunspot maximum occurs once every eleven years (11 yr).

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17
Q

What is the solar wind? What effect does it have on Earth?

A

The solar wind is a stream of charged particles, mostly protons and electrons, escaping from the solar corona. Solar wind particles that become trapped by the Earth’s magnetic field cause aurora. At periods of high solar activity, the resulting changes in the Earth’s ionosphere can affect radio communications on Earth. In extreme cases, power distribution systems on Earth have shorted out as a result of changes in the ionosphere brought about by interaction with the solar wind.

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18
Q

What is the underlying cause of the solar cycle?

A

The cycle of solar activity is a result of interaction between the Sun’s magnetic field and its rotation.

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19
Q

What is a neutrino?

A

A neutrino is a very low mass particle that interacts very weakly with other matter.

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20
Q

What produces neutrinos in the Sun? What happens to the neutrinos next? Why are astrophysicists interested in detecting neutrinos from the Sun?

A

Neutrinos are produced by nuclear reactions in the Sun, such as the fusion of two protons to form a deuterium nucleus. Neutrinos that are created in the Sun escape immediately. Thus, the solar neutrinos that we detect on Earth give us a direct measure of the nuclear reaction rate deep in the core of the Sun.

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21
Q

What is a “neutrino telescope”? Where are these located and why?

A

Neutrino telescopes use large amounts of matter—often large water tanks—which capture a very small fraction of the total number of neutrinos that pass through. Neutrino telescopes are located deep underground, to shield out other subatomic particles that, unlike neutrinos, cannot pass directly through the Earth.

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22
Q

What was the “solar neutrino problem”? What is the solution to this problem?

A

The solar neutrino problem was the finding that the number of neutrinos observed from the Sun by early neutrino detectors was was about one third the number that had been predicted by the standard solar model. The solution to this problem is the finding that neutrinos oscillate between three different types as they travel through space between the Sun and the Earth. Since only one type of neutrino was detected by early neutrino detectors, these experiments to measure the number of solar neutrinos being received found about one third of the number that was originally predicted. Later generation neutrino detectors detect all types of neutrinos and confirm the predictions of the standard solar model.

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23
Q

What is the definition of stellar parallax?

A

Stellar parallax is 1/2 of the annual shift in the apparent position of a nearby star, relative to more distant stars, due to the orbital motion of the Earth about the Sun.

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24
Q

What baseline is used in determining the parallax of a star and what is the length of this baseline?

A

The diameter of the Earth’s orbit is used as the baseline, which thus has a length of 2 AU.

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25
Q

What are the parallaxes of stars at distances of: (a)1pc (b)3pc (c)15pc

A

d = 1/p, p = 1/d
d = distance in parsecs (pc)
p = parallax angle in seconds of arc (arcsec) Note that: 1 arc sec = 1/3600 degrees
(a) d = 1 pc, p = 1/d = 1/1 = 1 arcsec
(b) d = 3 pc, p = 1/d = 1/3 = 1/3 arcsec
(c) d = 15 pc, p = 1/d = 1/15 = 1/15 arcsec

26
Q

The Hipparcos satellite was able to reliably detect parallaxes as small as about 1/150 arcsec. What is the greatest distance to which it can measure a parallax? Express your answer both in parsecs and light years.

A

d= 1/p = 1/(1/150) = 150 parsec

Since 1 pc = 3.3 ly, 150 pc = 500 ly.

27
Q

Define the quantity of luminosity

A

Luminosity is the energy per time radiated by an astronomical object (e.g. a star) into space.

28
Q

Define the quantity of apparent brightness

A

Apparent brightness is the energy per time per area detected from an astronomical object at Earth.

29
Q

Explain how two stars with the same luminosity can have different apparent brightness. Explain how two stars with the same apparent brightness can have different luminosity.

A

Luminosity L, apparent brightness B, and distance d are related by the inverse square law for radiation:
B=L/d^2
Two stars with the same luminosity will have different apparent brightnesses if they are at different distances. For example, if one of the two stars in this case is 3× farther away from us, then it will appear to be 9× fainter than the other, even though the luminosities are the same.
Two stars with the same apparent brightness will have different luminosities if they are at different distances. In this case, the more distant star has a higher luminosity.

30
Q

Explain how we can determine the distance of a star if we know both its luminosity and apparent brightness.

A

LuminosityL,apparentbrightnessB,anddistancedarerelatedbytheinversesquare law for radiation:
B=L/d^2
This is an equation with three variables, B, L, and d. If we have values for any two of these then we can solve for the third one. In the case that we know L and B, we can solve for d.
Note that you are not expected to work through a case like this. Rather, you are expected to understand the underlying concept that since B, L, and d are related by a formula, having values for any two of these allows us to find the value of the third one.

31
Q

Two stars have the same luminosity. Star 2 is 5× as distant as Star 1. How does the apparent brightness of Star 2 compare with that of Star 1?

A

Since both stars have the same luminosity, Star 2 must have a smaller apparent bright- ness than Star 1. Using the inverse square law, B = L/d2, we find that Star 2 has 1/25 the apparent brightness of Star 1.

32
Q

What do each of the quantities in the ideal gas law represent?

A

The ideal gas law can be written as:
PV =NkT
P is the pressure that the gas exerts on the walls of its container. V is the volume filled by the gas. N is the number of gas particles. k is Boltzmann’s constant—a constant of nature. T is the temperature of the gas.

33
Q

Suppose that a helium balloon is moved from a warm room to the cold outdoors. Based on the ideal gas law, what will happen to the balloon and why?

A

The balloon will shrink somewhat, since the gas in the balloon will cool to the lower ambient temperature. The number of gas particles N in the balloon remains constant and the interior pressure P continues to be the same as the air pressure outside of the balloon. Thus, T and V are the only factors that vary in the formula in this case and it follows that a decrease in T produces a decrease in V , i.e. the balloon shrinks.

34
Q

What is the fundamental quantity that varies along the spectral sequence (O B A F G K M)? What are the principal differences between the spectra of O and M stars? What type of star is the Sun?

A

Surface temperature is the fundamental quantity that varies along the spectral sequence. O stars are the hottest and M stars are the coolest. O star spectra show absorption lines due to ionized helium, which indicates temperatures above about 30,000 K. M star spectra show absorption lines due to molecules which can only exist in the coolest stellar atmospheres. The Sun is a G star.

35
Q

Explain why a red giant star has a much higher luminosity than a main sequence star with the same surface temperature.

A

Since the two stars have the same surface temperature, they both radiate the same amount of energy per time per unit surface area. Thus, one square meter patches of the photospheres of the stars have the same luminosity. However, since the red giant is much larger than the main sequence star, it has a much larger surface area and thus has a much higher total luminosity than does the main sequence star.

36
Q

Where do we find low-mass stars on the main sequence? High-mass stars?

A

Low-mass stars are found in the lower-right part of the main sequence. These stars have low luminosity and low temperature. High-mass stars are found in the upper-left part of the main sequence. These stars have high luminosity and high temperature.

37
Q

Compare the lifetime of a red dwarf and a blue supergiant. What accounts for this difference in lifetime?

A

Red dwarf stars have long lifetimes, exceeding 10^12 years. Blue supergiant stars have short lifetimes, about 2 × 10^7 years. This large difference is due to the extremely high luminosity of blue supergiants compared with red dwarfs. This causes blue supergiants to “burn” through their nuclear fuel much faster. Thus, even though blue supergiants have more nuclear fuel (hydro- gen) than do red dwarfs, they nevertheless have much shorter lifetimes.

38
Q

In what types of regions do stars form?

A

Stars form in cold, dense interstellar clouds. This type of region is known as a dark nebula. The large quantities of dust in a dark nebula absorb the visible light of the stars that lie behind it, blocking them from our view.

39
Q

How is the energy lost by radiation from the surface of a protostar replaced?

A

Energy radiated from the surface of a protostar is replaced by energy released through gravitational contraction. This keeps a protostar in thermal equilibrium.

40
Q

Why can more be learned about protostars by observing them in infrared rather than visible light?

A

Protostars are surrounded by thick dust clouds that absorb more visible than infrared light. Thus more of the infrared radiation from the protostars is able to escape from these clouds, providing us with more information on the nature of the processes within the clouds.

41
Q

Describe why a reflection nebula has a bluish color and why a star that lies behind a reflection nebula appears to be redder than its true color.

A

Blue light is more effectively scattered by dust particles than is red light. Thus, we see a blue haze from a cloud of gas and dust that surrounds a star. The source of the blue light is photons from the star that were not originally travelling towards us but that were redirected towards us upon being scattered by the dust in the cloud. Since blue light is more effectively removed from the direct beam of light from the star, the star appears redder than the true color that would be observed if the cloud were not present.

42
Q

Explain why Earth’s sky is blue.

A

The sky appears blue since air molecules scatter blue light more effectively than red light. Thus, scattered blue light from the Sun lights the sky. If the Earth did not have an atmo- sphere, the sky would appear black even when the Sun is above the horizon.

43
Q

What color is a Doppler wavelength when the motion is towards the observer? What is it’s length?

A

Blue shift, shorter wavelengths

44
Q

What color is a Doppler wavelength when the motion is away from the observer? What is it’s length?

A

Red shift, longer wavelengths (red–>receding)

45
Q

What is the Doppler formula?

REMEMBER: a negative sign indicates that the motion in toward the observer

A
v/c=(a.obs-a.rest)/a.rest
v=speed of source
c= speed of light
a.rest=rest wavelength
a.obs=observed wavelength
46
Q

What percent of the solar system is in the sun?

A

99.9%

47
Q

What is the average density of the sun? Earth? Water?

A

1400 kg/m^3
5500 kg/m^3
1000 kg/m^3

48
Q

What is the luminosity of the sun?

A

4x10^26 Watts

49
Q

What are the three structures of the sun (stating interior->outward)

A

core: nuclear fusion zone, radiation zone, convection zone

50
Q

Where does all energy generation take place in the sun?

A

the fusion zone–the thermonuclear core

51
Q

Is there more pressure in the center of the sun or near its “edges”

A

Pressure decreases outward due to the hydrostatic equilibrium; therefore, there is more pressure in the center of the sun

52
Q

What is hydrogen fusion?

A

when 4 hydrogen nuclei (protons) fuse to form 1 helium nucleus
4 H –> 1 He + energy

53
Q

About how must of the mass of H (hydrogen) is converted to energy?

A

0.7%

54
Q

What are two modes of transportation that energy uses in the sun?

A

radiation- photons randomly walk out

convection- rising currents of hot gas carry heat outwards; sinking currents of cool gas replace hot gas

55
Q

Where does radiation mostly occur? Convection?

A

Radiation dominates in the core and inner envelope.

Convection dominates in outer envelope where the gas is cooler.

56
Q

What are granules?

A

regions of bright and dark gas in photosphere. They provide evidence of convection.

57
Q

What is the average rotation period of the sun?

A

4 weeks

58
Q

What is the solar dynamo process?

A

As the sun rotates it does so unevenly creating a tangle of magnetic fields. After about 11 years it breaks down and reforms. This process is the solar dynamo.

59
Q

What is the SOHO Spacecraft? What is it doing? Where is it located?

A

The Solar and Helospheric Observatory orbits the sun. It is located about 0.01 Au from the Earth (when positioned in between earth and sun). It continuously monitors electromagnetic radiation from sun and particles in the solar wind. It can give advanced warnings of solar storms.

60
Q

How many light years are in a parsec?

A

1pc = 3.3 ly

61
Q

What is the equation for luminosity, apparent brightness, and distance?

A

B=L/(d^2)