Red-shift and the expanding universe

Physics · Space physics. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Light from most distant galaxies reaches us with a longer wavelength than the same light produced on Earth. The light is shifted towards the red end of the spectrum, so this is called red-shift. It shows that the galaxies are moving away from us.

The further away a galaxy is, the bigger its red-shift, so the faster it is moving away. This is what we would see if space itself were expanding.

The Big Bang theory says the universe began from a very small region that was extremely hot and dense, and has been expanding ever since. Red-shift is evidence that supports it.

Rules to remember

Common mistake

Students write that red-shifted galaxies are red or hot. Red-shift is a change in wavelength caused by motion away from us, not a colour or a temperature.

Worked example

A line in the spectrum of hydrogen has a wavelength of 656 nm in a laboratory. In light from galaxy P it is at 670 nm, and from galaxy Q at 690 nm. Which galaxy is further away?

  1. Increase for P = 670 − 656 = 14 nm.
  2. Increase for Q = 690 − 656 = 34 nm.
  3. Q has the bigger red-shift, so it is moving away faster, and faster galaxies are further away.

Answer: Galaxy Q is further away.

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