PhysicsCore22 min read

Stars and the Universe

The life cycle of a star, galaxies, redshift and the Big Bang

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01

What powers a star

Definition

Nuclear fusion — The joining of light nuclei to form a heavier one, releasing energy. It requires extremely high temperature and pressure to overcome the repulsion between the nuclei.

A star is a vast ball of hydrogen and helium held together by its own gravity. At its core the pressure and temperature are so extreme — millions of degrees — that hydrogen nuclei are forced together and fuse to form helium, releasing enormous quantities of energy.

The process is nuclear fusion, and it is worth being precise about the word, because fusion and fission are opposites and confusing them loses every mark in the question. Fusion joins light nuclei together. Fission splits heavy ones apart. Stars run on fusion; nuclear power stations on Earth run on fission.

A star is stable for billions of years because two effects are in balance. Gravity pulls all its material inwards. The outward pressure generated by the energy released in the core pushes outwards. While the two are equal, the star neither collapses nor expands — it simply shines.

02

The life cycle of a star

Stars form from vast clouds of dust and gas called nebulae. Gravity pulls the material together; as it contracts it heats up, and when the core becomes hot enough for fusion to begin, a star is born. This stage is called a protostar.

The star then settles into its long stable phase, the main sequence, where it will spend most of its life. Our Sun is about halfway through a main-sequence lifetime of roughly ten billion years.

When the hydrogen in the core runs out, the balance fails. The core contracts and heats further while the outer layers expand and cool, turning the star into a red giant — red because a cooler surface glows red rather than white.

What happens next depends entirely on mass. A star like the Sun sheds its outer layers and leaves the hot, dense core behind as a white dwarf, which slowly cools over billions of years. A star much more massive than the Sun becomes a red supergiant and ends in a colossal explosion, a supernova, leaving behind either a neutron star or, if massive enough, a black hole.

StageStar like the SunMuch more massive star
Birthnebula → protostarnebula → protostar
Stable phasemain sequencemain sequence (shorter)
After core hydrogenred giantred supergiant
Endwhite dwarfsupernova → neutron star or black hole

Step through the stages, then switch to the heavier star and step through again. Both begin in a nebula; only the mass decides whether the story ends quietly as a white dwarf or violently as a supernova.

Everything heavier than iron came from a supernova

Fusion in a star builds elements up as far as iron. The heavier elements — copper, silver, gold, uranium — are forged in the extraordinary conditions of a supernova and scattered into space. The atoms in your body were made inside stars.

03

Galaxies and the scale of things

Stars are not spread evenly through space. They are gathered into galaxies, each containing many billions of stars bound together by gravity. Our Sun is one star among a few hundred billion in the Milky Way.

The distances involved defeat ordinary units, so astronomers use the light-year: the distance light travels in one year, about 9.5 × 10¹⁵ m. It is a unit of distance, not of time — a point examiners like to test.

The nearest star beyond the Sun is roughly four light-years away, meaning its light left it four years ago. The Andromeda galaxy is about 2.5 million light-years away, so we see it as it was 2.5 million years ago. Looking further into space is looking further back in time.

1 light-year ≈ 9.5 × 10¹⁵ mdistance = speed × timea unit of distance — how far light travels in one year at 3.0 × 10⁸ m s⁻¹
c
speed of lightm s⁻¹
t
times
Worked example 13 marks

Show that one light-year is about 9.5 × 10¹⁵ m. Take the speed of light as 3.0 × 10⁸ m s⁻¹.

  1. Seconds in a year = 365 × 24 × 60 × 60 = 3.15 × 10⁷ s.
  2. distance = c t = 3.0 × 10⁸ × 3.15 × 10⁷.
  3. = 9.5 × 10¹⁵ m.About nine and a half thousand million million metres.

9.5 × 10¹⁵ m

04

Red-shift and the expanding universe

When light from a distant galaxy is analysed, the pattern of dark lines in its spectrum is found in the right order but shifted towards the red — the longer-wavelength — end. This is red-shift, and it means the galaxy is moving away from us.

The crucial observation is not merely that galaxies are receding, but that the more distant a galaxy is, the greater its red-shift and so the faster it is moving away. This is a systematic relationship, not a coincidence, and it holds in every direction we look.

The only sensible interpretation is that space itself is expanding, carrying the galaxies apart. It is not that we sit at the centre of an explosion — an observer in any galaxy would see exactly the same thing.

Run that expansion backwards and everything converges. At some point in the past the whole universe must have been concentrated in an extremely small, hot, dense state, from which it has been expanding ever since. That is the Big Bang theory, and red-shift is its principal evidence. Around 13.8 billion years is the current best estimate for how long ago it began.

Key points

  1. Stars fuse hydrogen into helium; fusion joins nuclei, fission splits them.
  2. A main-sequence star is stable because gravity inwards balances pressure outwards.
  3. Low-mass stars end as white dwarfs; high-mass stars as supernovae.
  4. A light-year is a distance, not a time.
  5. Red-shift increases with distance, which is the evidence for an expanding universe and the Big Bang.

Practice questions

6 questions · 27 marks · full working on every one

Try each one on paper first, then open the working. The marks are shown where they are actually awarded, because that is where they are actually lost.

Short questions

2 · 4 marks

Two marks each, in the style of the short-question section of the paper. Answer in two or three lines.

SQ1[2 marks]
State the source of a star's energy and name the process involved.
Model answer

Nuclear fusion in the core, in which hydrogen nuclei join to form helium and release energy.

Examiner tip. Fusion, not fission. Naming the wrong one loses both marks.

SQ2[2 marks]
Explain what red-shift tells us about distant galaxies.
Model answer

The light from distant galaxies is shifted towards longer wavelengths, which shows they are moving away from us. The further away a galaxy is, the greater its red-shift and so the faster it recedes.

Examiner tip. The second sentence — that the shift grows with distance — is the evidence for an expanding universe.

Long questions

1 · 9 marks

Theory and numerical together, as they appear in the long-question section.

LQ1[9 marks]
Our Sun is a stable main-sequence star.
  1. Explain what keeps a main-sequence star stable over billions of years. [3]
  2. Describe what will happen to the Sun once the hydrogen in its core runs out. [3]
  3. Explain how the observed red-shift of distant galaxies supports the Big Bang theory. [3]
Mark scheme
  1. Gravity pulls the material of the star inwards[1]
  2. The outward pressure from the energy released by fusion pushes outwards[1]
  3. The two are balanced, so the star neither collapses nor expands[1]
  4. The core contracts and the outer layers expand and cool[1]
  5. The Sun becomes a red giant[1]
  6. It then sheds its outer layers and the core remains as a white dwarf[1]
  7. Light from almost every distant galaxy is red-shifted, so they are all moving away[1]
  8. The more distant the galaxy the greater the red-shift, so the universe is expanding[1]
  9. Running that expansion backwards means everything began from a single point[1]

Examiner tip. Part (b) is a sequence — red giant, then white dwarf. Naming the end state without the stage in between costs a mark.

Exam questions

3 · 14 marks

Multi-part questions with a full mark scheme.

Q1[6 marks]
A star with a mass similar to that of the Sun eventually runs out of hydrogen in its core.
  1. Name the process by which a star releases energy, and state what it converts.
  2. Describe the stages this star passes through after leaving the main sequence.
  3. State how the sequence would differ for a star of much greater mass.
Mark scheme
  1. Nuclear fusionnot burning[1]
  2. Hydrogen nuclei fuse to form helium[1]
  3. It expands to become a red giant[1]
  4. Then throws off its outer layers as a planetary nebula, leaving a white dwarf[1]
  5. A much more massive star becomes a red supergiant and explodes as a supernova[1]
  6. Leaving a neutron star or a black hole[1]

Fusion of hydrogen to helium; red giant → planetary nebula → white dwarf; massive stars instead go supergiant → supernova → neutron star or black hole

Examiner tip. Learn the two chains as two lists and state which mass each applies to. Mixing the two — a Sun-like star going supernova — is the error mark schemes look for.

Q2[5 marks]
Light from distant galaxies is observed to be redshifted.
  1. State what redshift indicates about these galaxies.
  2. State the relationship between a galaxy's distance and its redshift.
  3. Explain how these observations support the Big Bang theory, and name one other piece of supporting evidence.
Mark scheme
  1. They are moving away from us[1]
  2. The further away a galaxy is, the greater its redshift — so the faster it is receding[1]
  3. This shows the Universe is expanding[1]
  4. So in the past everything was closer together, in a hot dense state[1]
  5. The cosmic microwave background radiation[1]

Receding; further means greater redshift; therefore expansion, therefore a hot dense origin; plus the CMB

Examiner tip. The chain must be complete: redshift → receding → distance relationship → expansion → hot dense past. Skipping a link costs a mark even though the conclusion is right.

Q3[3 marks]
Explain why a star of ten times the Sun's mass has a much shorter lifetime than the Sun, even though it contains far more hydrogen.
Mark scheme
  1. A more massive star has a much stronger inward gravitational force[1]
  2. So the core is hotter and denser, and fusion proceeds much faster[1]
  3. It therefore uses up its hydrogen far more quickly than the extra supply lasts[1]

Examiner tip. The counter-intuitive part is the answer. More fuel does not mean a longer life if it is being consumed at a disproportionately greater rate.