Do Now warm-up prompt

Do Now: An ambulance siren sounds lower in pitch as it drives away from you. What do you think happens to light from a galaxy that is moving away?

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Its waves are stretched to longer wavelengths, which shifts the light toward the red end of the spectrum. This is called redshift.

Review: Doppler Effect for Light

A. Spectral Fingerprints

Every element absorbs and gives off light at its own specific wavelengths. The pattern of dark lines in a spectrum is like a fingerprint.

Hydrogen always shows lines at 410, 434, 486, and 656 nm in a lab.

Review: The Bohr Model and energy levels

B. Galaxies Are Redshifted

Hydrogen lines from a lab, a nearby galaxy, and a distant galaxy

Redshift

Lines shift to longer wavelengths.

The source is moving away.

Blueshift

Lines shift to shorter wavelengths.

The source is moving toward us.

Did You Know?

A few nearby galaxies, like Andromeda, are blueshifted — gravity is pulling Andromeda toward the Milky Way. But almost all distant galaxies are redshifted.

C. Hubble’s Discovery

In 1929, Edwin Hubble compared the distances of galaxies with how fast they were moving away (measured from their redshifts). He found a simple pattern:

Hubble graph: speed versus distance, illustrative data
Illustrative data showing the pattern Hubble found

The farther a galaxy is, the faster it is moving away.

Today’s measurements give about 22 km/s for every million light-years of distance (about 70 km/s per megaparsec).

D. Space Itself Is Stretching

Model of space stretching so every distance doubles

Raisin bread model: as the dough rises, every raisin moves away from every other raisin. Raisins that are farther apart separate faster.

No center: every galaxy sees all the others moving away. Our view is not special.

Run the movie backward: if everything is moving apart now, everything was once packed together in a hot, dense state — about 13.8 billion years ago.

Common Mistakes

The Big Bang was not an explosion into empty space — space itself expanded. And galaxies themselves are not growing: gravity holds each galaxy together while the space between galaxies stretches.

Explore: The Expanding Universe

Press Expand. Click any galaxy to make it the target and see its spectrum.

Try This

1. Click a nearby galaxy, then a far one. Which has the bigger redshift?
2. Look at the Hubble graph. What shape do the points make?
3. Click “Make the target my home.” Are you now at the center?

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1. The far galaxy has the bigger redshift. 2. A straight line through the origin — speed is proportional to distance. 3. From the new home, every galaxy still moves away and the graph is still a straight line. There is no special center.

E. Going Further: How Fast?

v ≈ Δλλc

(for speeds much less than the speed of light)

Example

Hydrogen’s 656-nm line arrives from a galaxy at 663 nm. How fast is the galaxy moving away?

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Δλ = 663 − 656 = 7 nm  →  v = 7656(3.00 × 108 m/s) ≈ 3.2 × 106 m/s (about 3,200 km/s)

Check Your Understanding

5 quick questions — pick an answer to see if you’re right.

1. The dark lines in a distant galaxy’s spectrum are shifted toward longer wavelengths. This shows the galaxy is

2. Hubble discovered that galaxies that are farther away

3. Galaxy X is twice as far from us as galaxy Y. Compared with galaxy Y, galaxy X is moving away about

4. Why does every galaxy see the others moving away from it?

5. If galaxies are moving apart today, then in the distant past they were