Animations about Black Holes (more fun than it is informative)
Animations about the Expansion of the Universe (pretty good explanation)
Frequently Asked Questions about the Universe (a nice website explaining a number of tough questions, but some of the answers are mathematical)
Thought Questions from first Midterm
Thought Questions from second Midterm
How high will the smallest superball bounce when I drop the stack of
four superballs from a foot above the ground?
Gas from a supernova explosion is expanding 0.1 light-years every
decade, and the edges of the gas cloud are about 10 light-years from the
center. How long has it been since the cloud started expanding?
You are going to start a barbecue marathon, but you have just one tank
of propane for your gas grill. The tank contains 50 pounds of propane.
To keep the grill at optimum cooking temperature, you have to burn 2.5
pounds of propane per hour. How long can your grilling marathon go on?
A small car has a 10 gallon gas tank, and it uses 1 gallon of gas
every hour of driving. A large car has a 20 gallon tank and uses
2 gallons of gas every hour of driving. Which will run out of gas first?
A small car has a 10 gallon gas tank, and it uses 1 gallon of gas
every hour of driving. A large car has a 20 gallon tank and uses
4 gallons of gas every hour of driving. Which will run out of gas first?
Consider the information given below about the lifetime of three main
sequence stars A, B, and C.
Star A will be a main sequence star for 45,000 million years.
Star B will be a main sequence star for 70 million years.
Star C will be a main sequence star for 2 million years.
Which star has the greatest mass?
The bright star Vega has about 3 times the Sun's mass, and
60 times the Sun's luminosity. Vega will live
Imagine you are camping, and are very afraid of the animal noises you
hear coming from near camp. You want to build a campfire that will
last all night and scare the animals off. In which of the following
cases would your campfire last the shortest time?
If the Sun doesn't have a source of heat inside, what does this say
about the past history of the solar system?
The HR Diagram below shows the 30 nearest stars. What are most
nearby stars like (compared to the Sun - the yellow dot)?
Imagine that you are looking at the stars from Earth in January. The
picture in the frame shows a view of the distant stars as seen from
Earth. Which number would star A appear above as seen by someone on
Earth in January?
Answer: 3. Hint: Draw a line between Earth and star A and
continue it until it reaches the "Distant Stars". That shows where
star A will appear to be. (Anything on that line will appear to be
either directly in front of or directly behind star A.)
Which of the stars in the picture is closest to us?
Answer: F. Hint: Only two stars move during the year (A and F).
Compare the pictures in the upper left and lower right to see the
biggest shifts.
Two stars are photographed at the same time (the ones labeled "A")
and then six months later (the ones labeled "B"). Between those two
times the positions of the two stars appear to change. Which of the
two stars is probably closer to us?
You are studying at you desk under an unshaded lamp with a 100 watt
light bulb. Your roommate moves the lamp so that it is twice as far
away from you, but replaces it with a 200 watt bulb. How bright is your desk compared to earlier?
I am sunbathing on a planet with two stars that have the same
temperature. I am lying on my side and trying to tan both sides at once.
Star A lights my back. Star B lights my front, and it is 3 times as luminous
as star A but it is 3 times farther from the planet. What will happen?
For each pair of hot plates shown, which one that will boil
water more quickly? If there is no way to tell, state that.
Answers: a) Left. b) Right. c) Left. d) No way to tell. Hint:
The amount of heat the hot plate puts out depends on its temperature
and its size. This is very similar to the case for stars. For
d), one hot plate is hot but small, and one is cooler but larger, so
it is not possible to tell which will boil water faster without more
information.
The stars Antares and Spica each have the same luminosity. Antares is
cooler than Spica. Which star is larger?
The star Spica is much more luminous than Sirius B. Spica and Sirius B
have the same temperature. Which star has the greater surface area?
The star Spica is both hotter and more luminous than the Sun. Which
star is larger?
In the same picture above, Betelgeuse (a star that will probably go
supernova in the future) is about 430 light-years away. Which dot best
represents where it is?
Roughly how big is the red dot in the picture at right?
The picture of the Milky Way is about 1 meter across (when shown on
the screen in class). The Andromeda Galaxy is about the same size as
the Milky Way and 2,500,000 light years away. In a scale model, where
would we have to place Andromeda?
Imagine you are watching two identical cars drive into a sharp
turn. The first car is driving faster than the second car. Which of
the cars is more likely to skid out during the turn?
Imagine you are studying two stars orbiting at the same
distance from the centers of two different galaxies. One star
is orbiting faster than the other. What does this tell you?
Answer: 2. Hint: "Moving away" produces a redshift, so
only objects 1 and 2 are possible answers (the line patterns have
become redder). Faster motion makes larger color shifts.
A policeman's radar gun is not always able to measure your speed
accurately. In which of the situations below would the cop be able to
measure your speed using only the radar gun?
Answer: 4. Hint: A radar gun uses the Doppler shift to
measure speed, but it can only motions that make distance get
larger or smaller! So you have to be moving almost directly towards or
away from the cop for him to measure your speed accurately. In #2, the
cop is moving in the same direction, so that the distance between you
is not changing, and again there would be no Doppler shift!
Imagine you are trying to accurately measure the speed of a star
moving around our galaxy using ONLY the Doppler shift of the lines in
its spectrum. For which of the stars in the diagram below would you
be able to do this?
Answer: 4. Hint: Star 4 is the only one that is moving directly
toward or away from the Sun, but the Sun itself is not moving toward
or away from the star.
Most of the light released by a galaxy comes from the most luminous stars.
Which of the following kinds of stars have the largest luminosities?
The light from a galaxy you are studying has a strong blue tint. Which
of the following types of stars is probably releasing most of the
light you see?
Which of the following types of stars are you likely to find in a
galaxy ONLY if there are large amounts of gas and dust that can be
used to form stars?
Imagine that you are located in galaxy A and observe that galaxies B
and C are both moving away from you (with galaxy C moving faster). If
you asked an alien in galaxy C to describe what it sees, how would it
answer?
The drawing below represents the same group of galaxies at two
different points in time during the history of the universe.
How would an alien in galaxy A describe what it sees?
Imagine you simultaneously receive transmissions from two people that
live on planets orbiting two different stars. The two pictures show
the people at their 21st birthday parties. Which of the following is
most likely?
Fifteen years ago, a galaxy was discovered that was found to be 8
billion light years away. If our universe is approximately 13.5
billion years old, when did the galaxy emit the light that we observe?
Imagine you were observing a distant star located in a galaxy 100
million light-years away. By analyzing the starlight, you are able to
tell that the star appears to be 10 million years old. You are able to
predict that the star will have a lifetime of 50 million years.
How long does it take light to travel to us from the star?
How old does the star appear to be to us on Earth?
How long will it be before we receive light from the supernova at this
star's death?
When will or when did the supernova occur?
The cosmic microwave background is composed of photons with
wavelengths longer than visible light and longer than infrared light.
If this background is blackbody radiation, what does this imply about
the temperature?
If the expansion of the Universe makes the wavelengths of all light
stretch the longer they travel, what is that going to do to the
apparent temperature of the light reaching us from early in the
Universe's history?
What was the order the universe was put together (from start to finish)?
Which of the universes graphed below was expanding ("stretching")
fastest in the past?
Imagine you are a policeman using a radar gun in the proper way. You
measure the speed of a car that is near you, and find that it is going
the speed limit. If the car was decelerating, what would you
have found if you had measured its speed a few seconds earlier?
For an accelerating universe, which of the following is
true?
If the Sun is 100 times larger than Earth, roughly how big should a
shrunken Earth be compared to the basketball-Sun?
If the Sun is the size of a basketball, Proxima Centauri is the size
of a large superball, but where should the star be (if the scale is
the same)?
J. P. Adams, D. J. Loranz, E. E. Prather, and
T. F. Slater. Lecture Tutorials for Introductory Astronomy --
Instructor's Guide, 2002 (Prentice Hall). E. Mazur. Peer
Instruction: A User's Manual, 1997 (Prentice Hall).
Answer: 4. Hint: To keep from collapsing, the roof has to be
strong enough to support the weight of the person. The ground floor
has to support the combined weight of the roof and person.
Answer: 5. Hint: All of the superballs are compressed when they
hit the ground, and when they return to their original shapes, they
all work together to push the smallest superball upwards. This kind of
thing happens in a massive star at the beginning of a supernova
explosion.
Answer: 5. Hint: If it maintains its speed, it will expand 1
light year every 10 decades (one century).
Star Lifetimes
Which of these tanks will empty first?
Answer: 3. Hint: Even though Tank B has the smallest amount of fuel, the fuel is being used up very slowly - it will take 20 hours.
Answer: 3. Hint: The "lifetime" of the tank will be the amount of fuel
divided by the rate of fuel use (pounds per hour).
Answer: 3. Hint: The large car is using gas faster, but it has
more gas to begin with.
Answer: 2. Hint: The large car has more gas, but in this case
it uses fuel much faster than the small car.
Answer: 3. Hint: More massive stars use their fuel much more
quickly than lower mass stars.
Answer: 6. Hint: 3 times more fuel (the star's mass) would mean
3 times as long a life, but 60 times more luminosity (which tells us
about the rate at which the star uses fuel) shortens the lifetime to
1/60th what it would be. Both factors affect the lifetime.
Answer: 5. Hint: Less fuel (small logs and small number of
logs) and larger luminosity (bright campfire) contribute to using up
the star's supply of fuel quickly.
Answer: 1. Hint: Without a source of heat, the Sun must be
cooling down, so it was hotter in the past.
Answer: 2. Hint: Though there are some stars with other
characteristics, BY FAR faint red stars outnumber stars like the
Sun!
Parallax
If you hold your thumb at arm's length and look at it with your left
eye and your right eye separately, your thumb seems to move compared
to the background. What happens if your thumb is closer to your head?
Answer: 3. Hint: Do the experiment! This is one way your brain determines the distance to something you are looking at.
Answer: 2. Hint: You can do this experiment with your thumb.
Hold it close to your face, and switch back and forth between eyes. Do
the same thing with your thumb farther from your face.
Star Luminosity
You are studying at you desk under an unshaded lamp with a 100 watt
light bulb. Your roommate moves the lamp so that it is twice as far
away from you. How many 100-watt light bulbs would have to be used in
the lamp to light your desk as bright as it was before?
Answer: 4. Hint: When one light bulb is moved twice as far
away, it will appear 1/4 as bright to you. So you would need 4 light
bulbs to illuminate you the same amount as the one closer light
bulb.
Answer: 2. Hint: When one light bulb is moved twice as far
away, it will appear 1/4 as bright to you. But the bulb's luminosity
is twice what it was before (it is putting out twice as much light as
the first bulb), and this partly makes up for the more distant bulb.
Answer: 2. Hint: Even though the star A is less luminous (emits
one-third as much total light), it is closer (making its apparent
brightness 3 times larger than the other star).
Star Size
You are comparing the abilities of electric hot plates of different
sizes and temperatures to bring identical pots of water to a boil. The
pots are all as large as the largest hot plate. When a hot plate is at
one of the temperature settings (low, med, high), the hot plate is
depicted as a shade of gray. The lighter the shade of gray, the higher
the temperature.
Answer: 1. Hint: For two stars of the same size, the cooler one
will be less luminous. So unless a cool star is much larger (and has
much more surface area), it can't be as luminous as a hotter star.
Answer: 1. Hint: Both temperature and size affect how much
light a star will release (its luminosity). If they both have
the same temperature, then the size is the only thing that can be
responsible for the difference in luminosity.
Answer: 4. Hint: Either temperature or size could be responsible for the larger luminosity of Spica. Without more information, it isn't possible to tell which is more important.
The Milky Way
Imagine the Sun is located at the red dot in the picture below. If the
bright star Sirius is 9 light-years away, which dot best represents
where it is?
Answer: 1. Hint: For scale, the distance between the center of
the Milky Way and the Sun is about 28,000 light-years, and the
diameter of the Milky Way is about 100,000 light years!
Answer: 1. Hint: This is still a small distance compared to the
size of the Milky Way!
Answer: 1. Hint: This is still a small distance compared to the
size of the Milky Way!
Answer: 2. Hint: The Milky Way is about 100,000 light years across, so
Andromeda should be about 25 Milky Ways away.
Answer: 1. Hint: This should be common sense - but why? More
friction force between the tires and road is needed to keep the faster
car in the curve than is needed for the slower car. If there is not enough
friction, the car will skid.
Answer: 2. Hint: The faster the star is moving, the more
gravitational force is needed to hold it in its orbit. This is just
like the previous question with the cars.
Doppler Shift
The laboratory spectrum below shows emission lines from hydrogen. If
the spectrums of the other objects also show hydrogen, which is moving
away from us fastest?
Galaxies
Imagine you are studying two stars orbiting in two different galaxies
at the same distance from the centers. One star is orbiting faster
than the other. What does this tell you?
Answer: 2. Hint: To hold the faster star in its orbit, its
galaxy has to be exerting a larger gravitational force on it ---
otherwise the star would be able to get farther from the center of the
galaxy.
Answer: 2. Hint: Both of giant and high-mass main sequence stars
can be hundreds of times brighter than the Sun.
Answer: 2. Hint: The stars that are releasing most of the light
for this galaxy need to be both luminous and hot.
Answer: 1. Hint: Gas and dust are the raw materials for
stars. Main sequence stars with high mass live for such short times
that you will not find them unless stars are being born in the galaxy
today.
The Universe
Imagine that you are located in galaxy A and observe that galaxies B
and C are both moving away from you (with galaxy C moving faster). If
you asked an alien in galaxy C to describe what it sees, what would it
say about galaxy B?
Answer: 3. Hint: In an expanding universe, the space between
each pair of galaxies will get larger, so that these galaxies will
get farther apart from each other.
Answer: 2. Hint: In an expanding universe, the space between
each pair of galaxies will get larger, and more distant galaxies
expand apart faster.
Answer: 3. Hint: If you measure the changes in distances
between the galaxies, the biggest change occurs for the most distant
galaxies.
Answer: 4. Hint: It has taken longer for light to travel here
from the more distant person, so what we see know actually happened
farther in the past.
Answer: 3. Hint: If the galaxy is 8 billion light-years away,
light will take 8 billion years to cover the distance.
Answer: 3. Hint: When a distance is given in light-years ("100
million light-years"), that tells us how long it takes light to travel
that space.
Answer: 1. Hint: We are forced to judge the star based on the
light that we are receiving now.
Answer: 2. Hint: If the star appears to us to be 10 million
years old now, it will appear to die in another 40 million years (at
an age of 50 million years).
Answer: 2. Hint: Because the star was 100 million light years
away, and the star will appear to die in 40 million years, the light
must already be on its way. The light emitted at the death of the star
is only 40 million light-years away now, so it must have already been
travelling for 60 million years. The picture below might help
visualize this:
Answer: 4. Hint: Hot objects emit lots of short wavelength
(bluer) light. (Remember blackbody radiation.) The surface of the Sun
is hot enough to emit visible light. Human bodies are much cooler, and
they emit infrared light. So, the universe must be cooler than humans.
Answer: 1. Hint: Hot objects emit lots of short wavelength
(bluer) light. (Remember blackbody radiation.) If the wavelength of the
light is stretched, it will appear to be cooler.
Answer: 2. Hint: Helium is mostly made in the Big Bang, but
carbon is produced in stars.
Answer: 3. Hint: The galaxies in universe C have separated by
the same amount as in the other two universes, but took less time to
do it.
Answer: 2. Hint: If the car is decelerating, it is slowing
down, and it was going faster in the past.
Answer: 2. Hint: If the universe is accelerating, the stretching
is speeding up, and it was going stretching slower in the past.
Scale Models
If Earth is roughly 1/10th the width of Jupiter, and the Sun is about
10 times the width of Jupiter, roughly how does the Sun compare to
Earth in size?
Answer: 3. Hint: 10 Earths fit across Jupiter and 10 Jupiters
fit across the Sun.
Answer: 6. Hint: You could fit many more than 100 grains of
sand across a basketball, and the other objects are too large.
Answer: 4. Hint: The star would be slightly closer than this,
but London would be closest.
Some of the questions above are taken from the following
sources:
Last update: December 9, 2011