Tap a card to reveal its meaning. Only one card opens at a time, and each card closes after eight seconds. You may reopen any card as often as you need.
Big BangThe physical model describing the expansion of the universe from an extremely hot, extremely dense initial state about 13.8 billion years ago.
Cosmological RedshiftThe stretching of a photon's wavelength caused by the expansion of space itself while the light is in transit.
Cosmic Microwave BackgroundRelic radiation released about 380,000 years after the Big Bang, now cooled by expansion to 2.725 K and detected in the microwave band.
RecombinationThe moment when free electrons joined nuclei to form neutral hydrogen, allowing photons to travel freely and making the universe transparent.
Big Bang NucleosynthesisFusion during roughly the first twenty minutes that fixed the universe at about 75% hydrogen and 25% helium by mass, plus trace lithium.
Hubble's LawThe recessional velocity of a galaxy is directly proportional to its distance from the observer: v = H₀d.
Cepheid VariableA pulsating star whose period of brightening and fading reveals its true luminosity, allowing astronomers to calculate distance.
AnisotropyA slight temperature or density variation in the cosmic microwave background marking where matter later collected into galaxies.
Matching Practice
Choose the letter of the description that matches each term. 6 pts
A. The moment neutral atoms formed and the universe became transparent to light.
B. Recessional velocity is directly proportional to distance from the observer.
C. A pulsating star whose period reveals its true luminosity, used to measure distance.
D. Stretching of a light wave caused by the expansion of space during the photon's journey.
E. A slight temperature variation in relic radiation marking where galaxies later formed.
F. Fusion in the first twenty minutes that set the universe's hydrogen-to-helium ratio.
1. Cosmological redshift
2. Recombination
3. Big Bang nucleosynthesis
4. Hubble's Law
5. Cepheid variable
6. Anisotropy
Part 2 • Reading & Simulation
Measuring an Expanding Cosmos
Reading 1
In 1912 the American astronomer Vesto Slipher recorded spectra of several faint spiral nebulae and noticed something peculiar: in nearly every case the dark absorption lines were displaced toward longer wavelengths than the same lines produced in a laboratory. A decade later Edwin Hubble resolved individual Cepheid variable stars inside those nebulae. Cepheids pulse in brightness on a schedule tightly correlated with their intrinsic luminosity, so measuring a Cepheid's period reveals how much light it actually emits. Comparing that intrinsic luminosity with the star's apparent brightness yields a distance. Hubble's measurements established that the spirals were not clouds within the Milky Way at all, but independent galaxies at enormous remove.
When Hubble plotted recessional velocity against distance in 1929, the points scattered around a straight line passing near the origin. The relationship is written v = H₀d, where v is recessional velocity, d is distance, and H₀ is the Hubble constant, currently estimated near 70 kilometers per second per megaparsec. Proportionality of this kind is the mathematical signature of uniform expansion.
Modern cosmology does not interpret the wavelength displacement as ordinary Doppler motion through a fixed, static space. Instead the phenomenon is cosmological redshift: as a photon crosses intergalactic space, the space through which it travels expands, and the photon's wavelength is stretched by the same factor. Astronomers quantify the stretch as z = (λobserved − λrest) / λrest. Because the entire spectral pattern of a given element shifts together while the spacing between lines is preserved, the identity of the element remains unmistakable even when every line has moved.
Two consequences follow directly. First, no galaxy occupies a privileged center; an observer stationed in any galaxy would record the same proportional recession of everything else. Second, running the relationship backward in time compresses all matter and radiation into a state of extraordinary density and temperature roughly 13.8 billion years ago. Observations of Type Ia supernovae in the late 1990s added a refinement that surprised nearly everyone: the expansion is not merely continuing, it is accelerating.
Compare the wavelength values described above with the Electromagnetic Spectrum and Emission Spectra of Some Elements charts in your 2024 Edition Reference Tables for Earth and Space Sciences.
Simulation: Spectral Shift Explorer
The top bar shows four hydrogen emission lines measured in a laboratory on Earth. The bottom bar shows the same four lines arriving from a galaxy. Drag the slider to move the galaxy farther away and watch what happens to the light.
380 nmviolet → red780 nm
380 nmviolet → red780 nm
Distance
0 Mpc
Recessional Velocity
0 km/s
Redshift z
0.000
Hα line (656.3 nm)
656.3 nm
Shift Direction
No shift
Using H₀ = 70 km/s/Mpc and z ≈ v/c, where c = 300,000 km/s.
Writing About the Reading
Item 1 • 1 pt
Complete the sentence using two words from the bank.
stretchedcompressedredshiftblueshift
As space expands, the wavelength of light traveling through it is
, which observers record as a
in the galaxy's spectrum.
Item 2 • 1 pt
Tap the words in order to rebuild the sentence. Correct placements turn green.
Item 3 • 1 pt
Expand this bare-bones sentence into one detailed scientific sentence: “The universe is expanding.”
When / Where?How do we know?
Comprehension Questions
Part 3 • Reading & Simulation
Relic Heat and the First Elements
Reading 2
For roughly 380,000 years after the Big Bang the universe was an opaque plasma. Free electrons scattered photons so efficiently that light could not travel any appreciable distance before being deflected; the cosmos glowed but was not transparent. As expansion cooled the plasma to about 3000 K, electrons and protons combined into neutral hydrogen atoms — an event cosmologists call recombination. Scattering ceased almost immediately, and the photons released at that moment have traveled essentially unimpeded ever since. Expansion has since stretched their wavelengths by a factor of roughly 1100, cooling that radiation to 2.725 K and displacing it out of the visible band and into the microwave region of the electromagnetic spectrum.
Arno Penzias and Robert Wilson detected this cosmic microwave background (CMB) in 1965 as a persistent hiss in a horn antenna that they could not eliminate by any adjustment to the equipment. The signal arrived with equal intensity from every direction in the sky, which no local source could explain. Later satellite missions — COBE, WMAP, and Planck — mapped the background in fine detail and confirmed that its spectrum matches the theoretical curve of a nearly perfect thermal emitter.
The CMB is not perfectly smooth. Its temperature varies from place to place by roughly one part in 100,000. These anisotropies record slight density differences present when the universe became transparent. Regions of marginally higher density exerted marginally stronger gravitational attraction, drew in additional matter, and became the seeds from which galaxies and galaxy clusters later assembled. The observed pattern of hot and cold patches matches the pattern predicted by Big Bang models to remarkable precision.
A third and entirely independent line of evidence comes from the first twenty minutes. Between roughly one second and twenty minutes after the Big Bang, temperatures were high enough for protons and neutrons to fuse. Big Bang nucleosynthesis predicts approximately 75% hydrogen and 25% helium-4 by mass, together with trace amounts of deuterium, helium-3, and lithium-7. Fusion then stopped, not because the raw material ran out, but because continued expansion dropped the temperature below the threshold required to overcome electrostatic repulsion. Measurements of the oldest and least chemically processed gas clouds match those predicted abundances closely. Every element heavier than lithium was manufactured much later, inside stars and in the explosions that end their lives.
Human Impact. The CMB is observed at microwave and radio frequencies. Cellular networks, radar installations, and expanding satellite constellations broadcast in neighboring bands, and the resulting radio frequency interference degrades cosmological measurements. To protect sensitive instruments, governments designate restricted areas such as the National Radio Quiet Zone in West Virginia, where transmitter power is legally limited. As commercial satellite launches accelerate, astronomers argue that access to a quiet sky has become an environmental resource in need of management.
Comparing the CMB Missions
Three spacecraft mapped the same relic radiation. Each improvement in angular resolution revealed finer structure in the background, and each finer measurement tightened the numbers cosmologists use to describe the early universe.
Figure 1. Simulated comparison of COBE, WMAP, and Planck angular resolution. The maps are generated from a model power spectrum rather than mission data; they illustrate resolution only. The dashed circle in the enlarged COBE panel shows that a single COBE beam covers most of a 10° patch.
Mission
COBE
WMAP
Planck
Agency
NASA
NASA
ESA
Years operating
1989–1993
2001–2010
2009–2013
Angular resolution
7°
0.22° (13 arcmin)
0.083° (5 arcmin)
Frequency bands
3 bands, 31–90 GHz
5 bands, 23–94 GHz
9 bands, 30–857 GHz
Key result
First detection of temperature variations; confirmed a thermal spectrum
Resolved the first acoustic peak; age fixed near 13.8 billion years
Highest-resolution full-sky map; many acoustic peaks measured
Smaller angular resolution means a sharper image. Because each mission observed the same sky, the differences between these maps come from the telescopes, not from the universe.
Questions: The Three Missions
Reference Diagram
Use this diagram with the simulation and questions below. Moving the slider highlights the matching numbered stage on the diagram.
Figure 2. Model of the cooling universe since the Big Bang. The widening shape represents the expansion of space; the color change from white to black represents cooling. The dashed line marks recombination, when the universe became transparent and the cosmic microwave background was released.
Simulation: The Cooling Universe
Slide through cosmic time. Watch how temperature falls, what forms at each stage, and when light is finally set free.
Inflation
Age of Universe
10⁻³² s
Temperature
~10²⁷ K
Is Light Free?
No — opaque
Questions: The Cooling Universe Model
Predicted vs. Measured Abundance of Light Elements (percent of ordinary matter by mass)
Figure 3. Big Bang nucleosynthesis predictions compared with abundances measured in the oldest observed gas clouds. Lithium-7 is present at trace levels and is plotted as a value near zero.
Writing About the Reading
Item 4 • 1 pt
Complete the sentence using two words from the bank.
transparentopaquehydrogenuranium
At recombination, electrons and protons joined to form neutral
, and the universe became
to light.
Item 5 • 1 pt
Tap the words in order to rebuild the sentence. Correct placements turn green.
Item 6 • 1 pt
Expand this bare-bones sentence into one detailed scientific sentence: “Helium formed early.”
When / Where?Why did it stop?
Comprehension Questions
Part 4 • Data Analysis
Testing Hubble's Law
Astronomers measured the distance and recessional velocity of four galaxies. For each galaxy, calculate the Hubble constant using H₀ = v ÷ d. Round to the nearest whole number and enter your answers in the last column. Data table = 4 pts
Galaxy
Distance from Earth, d (Mpc)
Recessional Velocity, v (km/s)
Calculated H₀ (km/s/Mpc)
Galaxy W
10
700
Galaxy X
50
3,500
Galaxy Y
100
7,000
Galaxy Z
250
17,500
Recessional Velocity vs. Distance
Figure 4. Student-plotted graph of recessional velocity as a function of distance from Earth.
Graph Questions
Part 5 • Regents-Style Cluster
Evidence for the Big Bang Theory
Base your answers to questions 1 through 8 on the information below and on your knowledge of Earth and Space Sciences. Some questions may require the use of the 2024 Edition Reference Tables for Earth and Space Sciences.
Figure 5. Distance is given in megaparsecs (1 Mpc ≈ 3.26 million light years). The dashed line is a line of best fit. Galaxies moving toward Earth are plotted with negative recessional velocities.
Question 1 • 1 pt
Complete each of the three statements below to correctly describe evidence for the Big Bang Theory by placing an X in the box to indicate which phrase correctly completes each statement. [1]
Statement 1: Cosmological redshift provides evidence of an expanding universe because light from distant galaxies is
stretched to longer wavelengths as space expands during the photon's journey
absorbed and re-emitted by dust clouds located between the galaxies
Statement 2: Cosmic microwave background radiation can still be detected today because that radiation has
cooled and stretched out of the visible band and into the microwave band
been produced continuously by nearby stars within the Milky Way
Statement 3: Temperature variations measured in the cosmic microwave background indicate that
matter was slightly clumped in the regions where galaxies later formed
the early universe had exactly uniform density everywhere
Question 2 • 1 pt
Several statements about the data in Figure 5 are listed below.
Statement 1: The graph shows no relationship between the distance of a galaxy from Earth and its recessional velocity.
Statement 2: The velocities plotted on this graph were most likely obtained from red-shift data for each galaxy.
Statement 3: A small number of the nearest galaxies plotted have negative recessional velocities.
Statement 4: The graph shows a directly proportional relationship between distance from Earth and recessional velocity.
Statement 5: Galaxies plotted farther from Earth are moving away more slowly than nearer galaxies.
Statement 6: The velocities plotted on this graph were most likely obtained from blue-shift data for each galaxy.
Which statements correctly summarize the data in Figure 5 as evidence supporting the Big Bang Theory?
(1)Statements 1, 5, 6
(2)Statements 2, 3, 4
(3)Statements 3, 1, 6
(4)Statements 4, 2, 5
Question 3 • 1 pt
Complete each of the three statements below by placing an X to correctly describe how the measured abundance of light elements supports the Big Bang Theory. [1]
Statement 1: The measured amounts of hydrogen and helium in the oldest gas clouds support the Big Bang because that ratio
matches the amount predicted by fusion during the first twenty minutes
matches the amount produced by fusion inside modern main sequence stars
Statement 2: The presence of elements heavier than lithium is evidence that
nucleosynthesis continued later inside stars and during stellar explosions
the Big Bang itself produced every naturally occurring element
Statement 3: Fusion stopped about twenty minutes after the Big Bang because the universe had
expanded and cooled below the temperature required for fusion
completely used up its supply of protons and neutrons
Question 4 • 1 pt
A student makes a claim that the cosmic microwave background is a stronger piece of evidence for the Big Bang Theory than the observed expansion of the universe. Using all of the information provided, which statement gives the most correct evidence to support this claim?
(1)The background radiation matches a predicted thermal spectrum, arrives equally from all directions, and its temperature variations match the predicted pattern of early density differences.
(2)The background radiation is easier to observe with a backyard telescope than galaxy spectra are.
(3)The background radiation demonstrates that the Milky Way is located at the center of the universe.
(4)The background radiation was produced by the first generation of stars rather than by the early universe.
Question 5 • 1 pt
An astronomer recorded the following observations of a distant galaxy.
A. The hydrogen absorption lines appear at wavelengths longer than laboratory values.
B. The galaxy is located in the constellation Virgo.
C. The size of the measured shift increases with the galaxy's distance from Earth.
D. The galaxy contains a supermassive black hole at its center.
E. The spectrum shows the same line pattern as laboratory hydrogen, displaced as a group.
F. The galaxy is brighter than the Milky Way.
Which set of observations and conclusion correctly describes the motion of this galaxy?
(1)Observations A, C, and E identify a galaxy receding from Earth.
(2)Observations B, D, and F identify a galaxy approaching Earth.
(3)Observations A, B, and D identify a galaxy that is stationary relative to Earth.
(4)Observations C, D, and F identify a galaxy receding from Earth.
Question 6 • 1 pt
Write the correct letter from the choices below on the line at the end of each sentence to complete each statement about evidence for the Big Bang. [1]
Choices for Statement 1:
A – stretch the wavelengths of the light traveling through it
B – compress the wavelengths of the light traveling through it
Choices for Statement 2:
C – record the temperature of the universe at 380,000 years, now cooled to 2.725 K
D – record the temperature of the Sun's surface, now cooled to 2.725 K
Choices for Statement 3:
E – set the hydrogen-to-helium ratio that is still measured in the oldest gas today
F – set the iron-to-uranium ratio that is still measured in the oldest gas today
Statement 1: The continuing expansion of space will
Statement 2: Cosmic microwave background photons
Statement 3: Fusion during the first twenty minutes
Question 7 • 1 pt
The data table below gives the distance from Earth to four galaxies.
Galaxy
Distance from Earth (Mpc)
Galaxy P
45
Galaxy Q
310
Galaxy R
120
Galaxy S
8
Rank the four galaxies in order of increasing recessional velocity, then justify your ranking using Hubble's Law. [1]
Justification:
Question 8 • 1 pt
A student makes the following claim:
The Andromeda Galaxy shows a blue shift and is moving toward the Milky Way. This observation proves that the Big Bang Theory is incorrect.
Place a check in either the Support or Refute box below to indicate whether the given information supports or refutes the student's claim. Justify your response using evidence from the information provided. [1]
Justification:
Part 6 • Randomized Check
Question Bank Check
Five questions have been drawn at random from a bank of fifteen. 5 pts
Attempt 1
Part 7 • Results
Homework Grade Report
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Section Breakdown
Turn It In
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