GCSE Physics (9-1)

10.2 Red-shift and the Big Bang — Practise with help

Work each problem first. Open a hint only if you are stuck, and the full working only to check.

Warm-up: remember

Answer these from memory. They use ideas from earlier chapters.

  1. Which colour of visible light has the longer wavelength: red or blue?
  2. A wave has a frequency of 5.0×1014 Hz5.0 \times 10^{14}\,\text{Hz} and a wavelength of 6.0×10−7 m6.0 \times 10^{-7}\,\text{m}. Calculate its speed.
Answers
  1. Red light has the longer wavelength.
  2. v=fλ=5.0×1014×6.0×10−7=3.0×108 m/sv = f\lambda = 5.0 \times 10^{14} \times 6.0 \times 10^{-7} = 3.0 \times 10^{8}\,\text{m/s}.

If question 1 went wrong, revisit the electromagnetic spectrum in Chapter 5. If question 2 went wrong, revisit the wave equation in Chapter 4.

Practise with help

1. Explain what is meant by the red-shift of light from a galaxy.

Hint

Compare the light from the galaxy with the same light measured in a laboratory.

Next step

Say which way the wavelength changes, then say which part of the spectrum the dark lines move towards.

Full working

The wavelength of the light from the galaxy is longer than the wavelength of the same light measured in a laboratory. The dark lines in the spectrum of the galaxy are moved towards the red end, where the wavelengths are longer. This happens because the galaxy is moving away from the Earth.

2. A dark line in a laboratory spectrum has a wavelength of 500 nm. The same line in the light from a galaxy has a wavelength of 550 nm. State whether the galaxy is moving towards the Earth or away from it, and give a reason.

Hint

Compare the two wavelengths. 550 nm is longer than 500 nm.

Next step

Say that the wavelength has increased, so the light has been red-shifted. Then link the red-shift to the direction of motion.

Full working

The wavelength in the galaxy light is 550 nm, which is longer than the laboratory wavelength of 500 nm. The light is red-shifted. Red-shift is caused by a source moving away, so the galaxy is moving away from the Earth.

3. Explain how red-shift provides evidence that the universe is expanding.

Hint

Start with the motion of one galaxy. Then add the pattern that appears when you compare many galaxies at different distances.

Next step

Say that the galaxies are moving away from us, and that the further away a galaxy is, the faster it moves away. Then say what that pattern means for space itself.

Full working

The red-shift shows that most galaxies are moving away from us. The further away a galaxy is, the faster it is moving away. This pattern is what we expect if space itself is expanding. As space grows, it carries the galaxies apart, so the universe is expanding.

4. Explain how red-shift supports the Big Bang model.

Hint

State what the model says about the start of the universe.

Next step

Say what the model predicts about the universe since it began, then link the prediction to what the red-shift shows.

Full working

The Big Bang model says that the universe began from a very small region that was extremely hot and dense. The model predicts that the universe has been expanding ever since. Red-shift shows that the galaxies are moving apart, so the universe is expanding. This matches the prediction, so red-shift supports the model.

5. Describe the cosmic microwave background radiation and explain what it shows.

Hint

It is a signal, not a substance. Say where in space it comes from and which part of the electromagnetic spectrum it belongs to.

Next step

Say that it comes from every direction. Then say what it is left over from, and which model that supports.

Full working

The cosmic microwave background radiation is a faint microwave signal that comes from every direction in space. It is left over from the hot, dense early universe. This matches a prediction of the Big Bang model, so it is evidence that supports the model.

6. The Andromeda galaxy is 2.4×1022 m2.4 \times 10^{22}\,\text{m} from the Earth. Light travels at 3.0×108 m/s3.0 \times 10^{8}\,\text{m/s}. Calculate how long light takes to travel from Andromeda to the Earth. Give your answer in seconds, and then in years. Take one year as 3.15×107 s3.15 \times 10^{7}\,\text{s}.

Hint

Use the same equation as for any other journey: time is distance divided by speed.

Next step

Work out the time in seconds first. Then divide that time by the number of seconds in a year.

Full working t=dv=2.4×10223.0×108=8.0×1013 s\begin{aligned} t &= \frac{d}{v} \\ &= \frac{2.4 \times 10^{22}}{3.0 \times 10^{8}} \\ &= 8.0 \times 10^{13}\,\text{s} \end{aligned} t=8.0×10133.15×107=2.5×106 years\begin{aligned} t &= \frac{8.0 \times 10^{13}}{3.15 \times 10^{7}} \\ &= 2.5 \times 10^{6}\,\text{years} \end{aligned}

The light has taken 2.5 million years to reach the Earth.

7. Explain why looking at a very distant galaxy is like looking back in time.

Hint

Think about the journey the light has made, and how long that journey took.

Next step

Say when the light that we see now set out from the galaxy. Then say which version of the galaxy we see.

Full working

Light takes a very long time to travel from a very distant galaxy, because the distance is enormous. The light that we see now set out from the galaxy billions of years ago. So we see the galaxy as it was then, not as it is now.

8. Two models of the universe were once considered. Explain why the Big Bang model is the one accepted today.

Hint

Both models can explain red-shift. Look for the evidence that only one of them can explain.

Next step

Say what both models explain, then say which piece of evidence the Steady State model does not explain.

Full working

Both the Steady State model and the Big Bang model can explain the red-shift of the galaxies. The Steady State model does not explain the cosmic microwave background radiation. That radiation fits a hot, dense beginning, so more evidence supports the Big Bang model. It is the accepted model today.

9. Since 1998, observations of distant supernovae suggest that the expansion of the universe is speeding up. Explain why scientists say that the universe is still not fully understood.

Hint

Think about whether the cause of the speeding up is known.

Next step

Describe what the supernova observations show, then name the two things that are not understood.

Full working

The distant supernovae are further away than expected, so the expansion of the universe seems to be getting faster. The cause of the speeding up is not known. It is called dark energy. Dark matter is also not understood, so there is still much about the universe that is not known.

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