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6.2.3b Redshift

Redshift: light from a receding source arrives stretched

Definition

Redshift

An increase in the observed wavelength of electromagnetic radiation emitted from receding stars and galaxies.

  1. A source that is receding is one moving away from the observer, and that motion changes what the observer measures.
  2. Each time the source emits the next wave crest it has already moved further away, so successive crests are spread further apart by the time they arrive.
  3. Crests further apart means a longer observed wavelength, and since the speed of the wave has not changed, a longer wavelength also means a lower observed frequency.
  4. You hear the same effect with sound when an ambulance passes: the siren drops in pitch the instant the vehicle changes from approaching to receding.
  5. The word red is used because red is the longest-wavelength end of the visible spectrum, so stretching visible light shifts it towards the red end.
  6. The effect applies to all electromagnetic radiation, not only to visible light, so radiation that was never red in the first place is still described as redshifted.
  7. A source moving towards an observer produces the opposite effect, squashing the waves to a shorter wavelength, which is called blueshift.

Spectral lines from a galaxy compared with the same lines produced in a laboratory: when the galaxy is receding the lines sit further towards the red end of the spectrum, and when it is approaching they sit further towards the blue end.

Key Idea

Redshift is about the wavelength the observer measures, not about the light changing colour on its journey; the source emitted it perfectly normally.

How we know: comparing starlight with the same element on Earth

Definition

Spectral line

A line at one particular wavelength in the spectrum of an element, always found at the same wavelength for that element.

  1. Each element produces its own fixed set of spectral lines, a pattern as recognisable as a barcode.
  2. That pattern can be produced and measured in a laboratory on the Earth, giving a known set of wavelengths to compare against.
  3. When the same pattern is picked out in light from a distant galaxy, the whole set of lines is found shifted towards longer wavelengths.
  4. So the light emitted from distant galaxies appears redshifted in comparison with light emitted on the Earth.
  5. The pattern being shifted as a whole, with the spacings kept in proportion, is what proves this is motion rather than a different element.
  6. A larger shift means the galaxy is receding faster, so the size of the shift carries information as well as its direction.
  7. What this observation tells us about the Universe as a whole is taken up in the next article; here the point is the measurement itself.
Common Mistake
  • Do not say the light turns red, because redshift means the wavelength increases, and it applies to radiation outside the visible range too.
  • Do not write that the speed of the light changes, since light from a receding galaxy still travels at 3.0×108 m/s3.0 \times 10^{8}\ \text{m/s}3.0×108 m/s and only the wavelength and frequency shift.
  • Do not mix up the directions: receding gives a longer wavelength, approaching gives a shorter one.
Exam technique
  • Use the exact phrase increase in observed wavelength when defining redshift, since "the light stretches" is the version that usually falls short.
  • Say what the comparison is against, namely light from the same element emitted on the Earth, because the comparison is where the mark sits.
  • Where a spectrum diagram is given, check which end is which before deciding on redshift or blueshift, since the axis is not always drawn the way you expect.
  • The word receding is the one to use for a source moving away, and it is worth writing rather than "going backwards".
Self review
  • Describe what is meant by redshift.
  • Explain why waves from a receding source arrive with a longer wavelength.
  • What happens to the observed frequency when a source recedes, and why?
  • What is light from a distant galaxy compared with in order to detect redshift?
  • A spectral line appears at a shorter wavelength than in the laboratory. What does that tell you about the source?
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6.2.3b Redshift Revision Guide

  1. IGCSE
  2. /Physics
  3. /6.2.3b Redshift

Revision notes for CIE IGCSE Physics 6.2.3b Redshift: explanations and worked examples.

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