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Redshift is the stretching of light to longer wavelengths, making it appear shifted toward the red end of the spectrum. Astronomers use redshift to measure how fast distant galaxies are moving away from us and how much the universe has expanded while the light was traveling. This makes redshift one of the most important tools for studying the size, age, and history of the universe.

It connects a simple property of waves to some of the largest questions in astronomy.

Light from a galaxy carries a pattern of spectral lines from the atoms in its stars and gas. When those lines are observed at longer wavelengths than expected, the galaxy is redshifted. For nearby objects this can be caused by the Doppler effect, where motion away from Earth stretches the light waves.

For very distant galaxies, the main cause is cosmological redshift, where expanding space stretches the wavelength of light during its journey.

Understanding What Is Redshift

Astronomers detect redshift with a spectrograph, an instrument that separates incoming light into its component colours. Each chemical element makes lines at particular wavelengths because its electrons can absorb or emit only certain amounts of energy. Hydrogen, calcium, oxygen, and sodium therefore leave recognisable barcodes in starlight.

Laboratory measurements tell scientists where these lines begin. They compare the laboratory barcode with the barcode from a galaxy.

The full pattern matters more than one line alone, since dust, noisy data, and overlapping objects can make a single feature hard to identify. This is why spectra are much more useful than simply judging whether an object looks red in an image.

For a nearby star or galaxy, redshift can be understood through wave timing. Imagine a source sending out successive wave crests while it moves away. Each later crest starts slightly farther from the observer than the earlier one.

The spacing between arriving crests becomes larger. This is similar to the lower pitch of a receding ambulance siren, although light and sound obey different physical rules.

At speeds that are a substantial fraction of the speed of light, the simple school approximation is no longer accurate. Astronomers then use relativity, which accounts for the way space and time measurements change at very high speeds.

The most distant galaxies need a different picture. Their light may travel for billions of years. During that time, the scale of the universe grows, so the wave itself is carried along and stretched.

A useful model is marks drawn on an expanding rubber band. As the band lengthens, the distance between marks increases. The marks do not need to crawl across the band for this to happen.

This distinction prevents a common mistake. A large cosmological redshift does not mean that a galaxy has simply flown through empty space at a speed found by multiplying its redshift by the speed of light. That shortcut works only for small redshifts.

Redshift provides a time record because light takes time to arrive. A high redshift galaxy is seen as it was when the universe was much younger. Scientists combine its redshift with a model of cosmic expansion to estimate its distance and lookback time.

This has revealed how galaxy formation changed over time and helped establish that expansion has not always proceeded at the same rate. Redshift measurements require care. Dust can make light appear redder without stretching its wavelengths.

A galaxy’s own motion within a cluster can slightly alter its measured value. Gravity can shift light as it escapes strong gravitational fields. Students should focus on the evidence behind each conclusion, especially the spectral lines, the assumptions used for distance estimates, and the limits of simple formulas.

Key Facts

  • Redshift means observed wavelength is longer than emitted wavelength.
  • z = (lambda_observed - lambda_emitted) / lambda_emitted
  • If z > 0, the light is redshifted and the source is usually moving away or light has been stretched by expansion.
  • For small speeds, v approx cz, where c = 3.00 x 10^8 m/s.
  • Cosmological redshift is caused by the expansion of space, not by galaxies moving through space like ordinary projectiles.
  • A larger redshift usually means a more distant galaxy and a lookback time farther into the past.

Vocabulary

Redshift
Redshift is the increase in the wavelength of light compared with the wavelength at which it was emitted.
Wavelength
Wavelength is the distance from one crest of a wave to the next crest.
Spectrum
A spectrum is the spread of light by wavelength or color, often showing lines that reveal the atoms that produced or absorbed the light.
Doppler Effect
The Doppler effect is the change in observed wavelength or frequency caused by motion between a wave source and an observer.
Cosmological Redshift
Cosmological redshift is the stretching of light waves caused by the expansion of space as light travels across the universe.

Common Mistakes to Avoid

  • Thinking redshift always means an object is moving through space away from Earth is wrong because distant galaxy redshift is mostly caused by the expansion of space itself.
  • Using frequency and wavelength as if they both increase during redshift is wrong because redshift makes wavelength increase while frequency decreases.
  • Forgetting to use the emitted wavelength in the denominator of z is wrong because redshift compares the wavelength change to the original wavelength.
  • Assuming a redder-looking object must have a higher redshift is wrong because color can also depend on temperature, dust, and the mix of stars in the galaxy.

Practice Questions

  1. 1 A spectral line emitted at 500 nm is observed from a galaxy at 650 nm. Calculate the redshift z.
  2. 2 A nearby galaxy has redshift z = 0.020. Using v approx cz and c = 3.00 x 10^8 m/s, estimate its recession speed in m/s and km/s.
  3. 3 Two galaxies show the same hydrogen spectral line, but one line is shifted farther toward longer wavelengths. Explain what this suggests about the two galaxies and why redshift is useful for studying cosmic expansion.