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Topic 8 · AstrophysicsSingle · Double · PhysicsModular: 4XPH1 Unit 2 · 4XSD1 Unit 6≈ 18 min read

Edexcel IGCSE Physics 8(c) Stellar Evolution — Notes

Written for Pearson Edexcel International GCSE Physics (4PH1), Science Double Award (4SD0) and Science Single Award (4SS0), linear and modular.

Which parts do I need?

Single · Double · Physics everyone Double · Physics not Single Award Physics only · 2P International GCSE Physics, Paper 2P only

Single Award candidates need star colours and the life cycle of a star like the Sun, and can skip everything tagged Double · Physics or Physics only. Double Award candidates also need the life cycle of stars more massive than the Sun, and can skip the Physics-only sections on absolute magnitude and the Hertzsprung–Russell (HR) diagram.

What this page covers

SpecModular no.You need to be able to…Route
8.79.7explain how stars are sorted into classes by their colourSingle · Double · Physics
8.89.8link the colour of a star to how hot its surface isSingle · Double · Physics
8.99.9describe the life cycle of a star like the Sun: nebula, main sequence star, red giant, white dwarfSingle · Double · Physics
8.109.10describe the life cycle of a star with more mass than the SunDouble · Physics
8.11P9.11Pexplain how absolute magnitude compares the brightness of stars placed at the same standard distancePhysics only · 2P
8.12P9.12Psketch and label the main regions of the HR diagramPhysics only · 2P

Modular candidates: Astrophysics is topic 9 in the modular specifications — these are statements 9.7–9.12P of 4XPH1 Unit 2 (4WPH2); 9.7–9.10 are also in 4XSD1 Physics Unit 6 (4WSD6).

In one minute

  • Stars are classified by colour: red, orange, yellow, white, blue. The colour depends on the star's surface temperature — red stars are the coolest, blue stars the hottest.
  • A star like the Sun: nebula → main sequence star → red giant → white dwarf.
  • A star much more massive than the Sun: nebula → main sequence star → red supergiant → supernova → neutron star or black hole. Double · Physics
  • Absolute magnitude is how bright a star would look from a standard distance; the smaller (more negative) the number, the brighter the star. Physics only · 2P
  • The HR diagram plots absolute magnitude against surface temperature (hot on the left): main sequence, red giants, supergiants and white dwarfs. Physics only · 2P

How are stars classified by colour, and what does the colour tell you? Single · Double · Physics

Look carefully at the night sky and you will see that stars are not all the same colour. Astronomers use this to sort stars into classes.

The colour of a star depends on its surface temperature. The hottest stars are blue or blue-white; the coolest are red.
redabout 3000 Korangeabout 4500 Kyellowabout 6000 Kwhiteabout 10 000 Kblueover 20 000 K(the Sun)coolerhotter
Star colour and approximate surface temperature. Temperatures are in kelvin (K) — see 5(d) for the Kelvin scale.
Colour of starSurface temperatureExample
redcoolest — about 3000 KBetelgeuse (a red supergiant)
orangeabout 4500 KArcturus
yellowabout 6000 Kthe Sun (about 5800 K)
whiteabout 10 000 KSirius
bluehottest — over 20 000 KSpica (about 22 000 K)
  • A hot object glows a different colour as its temperature rises: think of an electric hob ring or a piece of steel heated in a furnace, which goes from dull red to orange to yellow-white.
  • So the order red → orange → yellow → white → blue is also the order of increasing surface temperature.
  • Colour tells you about the surface. The core of every star is far hotter (millions of kelvin), which is where fusion happens.
  • Double Award wording: the 4SD0 specification says a star's colour is related to its “temperature” rather than its “surface temperature”. The physics is the same — writing “surface temperature” is correct for every route.
Worked example 1 Easy · State

Three stars are observed: Star A is yellow, Star B is blue and Star C is red. (a) State which star has the highest surface temperature. (b) Put the stars in order of surface temperature, coolest first.

(a) Star B — blue stars are the hottest.

(b) C (red), A (yellow), B (blue)

How does a star like the Sun evolve? Single · Double · Physics

A star's life cycle is decided by its mass. For a star of similar mass to the Sun, the four stages you must know are nebula, main sequence star, red giant and white dwarf.

nebulacloud of gas and dustmain sequence starfusing hydrogen into heliummass similarto the Sunmass much largerthan the Sunred giantwhite dwarfouter layers drift awaycools and fades over a very long timered supergiantsupernovaneutron starblack hole
Life cycles of stars. Single Award: you only need the left-hand path (mass similar to the Sun). The right-hand path is for Double Award and Physics.
  1. Nebula. A star forms from a nebula: a huge cloud of gas (mainly hydrogen) and dust. Gravity pulls the material together. As the cloud collapses it gets denser and hotter.
  2. Main sequence star. When the centre becomes hot and dense enough, hydrogen nuclei fuse to make helium, releasing energy (fusion is the energy source for stars — see 7(c)). The star is stable because the outward pressure from the hot gas balances the inward pull of gravity. The Sun has spent about 4.6 billion years in this stage and has roughly 5 billion years left.
  3. Red giant. When the hydrogen in the core runs out, the core contracts and heats up while the outer layers expand enormously and cool. The star becomes much larger and its surface turns red.
  4. White dwarf. The red giant gently loses its outer layers into space. The hot, dense core that remains is a white dwarf: about the size of the Earth, very hot but dim because it is so small. No fusion takes place, so it slowly cools and fades.
Worked example 2 Medium · Describe

Describe how a star of similar mass to the Sun forms and evolves until the end of its life. (5 marks)

Marking points (one mark each, up to 5):

  • the star forms from a nebula (a cloud of gas and dust);
  • gravity pulls the gas together, and it gets hot enough for hydrogen to fuse into helium;
  • it becomes a main sequence star, stable because gravity is balanced by outward pressure;
  • when the hydrogen in the core runs out, it expands and cools to become a red giant;
  • the outer layers are lost and the core becomes a white dwarf;
  • the white dwarf gradually cools.

Stages must be in the correct order. Writing “supernova” or “black hole” for a Sun-like star is wrong — those are only for much more massive stars.

How does a star much more massive than the Sun evolve? Double · Physics

Not required for Single Award (4SS0).

A massive star starts in the same way — nebula, then main sequence star — but its greater mass changes everything after that.

  1. Main sequence star. A more massive star is hotter and brighter, and uses its hydrogen much faster, so it spends a shorter time on the main sequence than the Sun.
  2. Red supergiant. When the hydrogen in its core runs out, the star swells into a red supergiant, far larger than a red giant.
  3. Supernova. When fusion in the core can no longer continue, the core collapses suddenly and the star explodes as a supernova. For a short time it can outshine a whole galaxy. The material blown out forms new nebulae, from which new stars and planets can form.
  4. Neutron star or black hole. The core left behind is a neutron star — extremely dense, only a few tens of kilometres across. If the remaining core is massive enough, gravity makes it collapse further to form a black hole, from which not even light can escape.
Star of similar mass to the SunStar much more massive than the Sun
Starts asnebulanebula
Main sequence timelong (about 10 billion years for the Sun)much shorter
After hydrogen in the core runs outred giantred supergiant
How it endsouter layers drift away gentlysupernova explosion
What is leftwhite dwarfneutron star or black hole
Worked example 3 Hard · Compare

Star X has a mass similar to the Sun. Star Y has a mass 20 times that of the Sun. Both are on the main sequence. Compare what will happen to the two stars in the future. (4 marks)

  • Star Y will leave the main sequence sooner, because it uses up its hydrogen faster (1);
  • Star X becomes a red giant, but Star Y becomes a red supergiant (1);
  • Star X ends as a white dwarf after losing its outer layers; Star Y explodes as a supernova (1);
  • Star Y leaves a neutron star or a black hole (1).

“Compare” needs both stars in each point. A list of stages for Star Y alone gains fewer marks.

What is absolute magnitude? Physics only · 2P

International GCSE Physics, Paper 2P only.

How bright a star looks from Earth depends on two things: how much light it actually gives out, and how far away it is. A dim star nearby can look brighter than a very powerful star far away. To compare the stars themselves, astronomers imagine moving every star to the same distance from us.

The absolute magnitude of a star is a measure of how bright it would appear if it were at a standard distance from the Earth. Every star is imagined at the same distance, so the comparison is fair. You do not need to know the value of the standard distance.
  • The magnitude scale runs “backwards”: the smaller the number, the brighter the star. A star of absolute magnitude −5 is much brighter than one of +5.
  • Very bright stars have negative absolute magnitudes. The Sun's absolute magnitude is about +4.8; supergiants can be −8 or brighter; white dwarfs are around +10 to +15.
  • Because every star is compared at the same distance, absolute magnitude tells you about the star itself — how much light it gives out — not about where it is.
Worked example 4 Medium · Explain

Star J has an absolute magnitude of +6.0 and Star K has an absolute magnitude of −2.0. From Earth, Star J appears brighter than Star K. (a) State which star gives out more light. (b) Explain why Star J appears brighter from Earth.

(a) Star K — its absolute magnitude is smaller (more negative), so it would be brighter at the standard distance.

(b) Star J must be much closer to the Earth than Star K (1). How bright a star appears depends on its distance as well as on how much light it emits (1).

How do you draw the Hertzsprung–Russell diagram? Physics only · 2P

International GCSE Physics, Paper 2P only.

The Hertzsprung–Russell (HR) diagram is a graph on which each star is a point. Stars are not scattered at random: they fall into a few clear groups. You need to be able to sketch the axes and label the main groups.

−10−50+5+10+1540 00020 00010 00050002500supergiantsred giantsmain sequencewhite dwarfsSunsurface temperature / K (hotter ← → cooler)absolute magnitude (brighter ↑)
The main components of the HR diagram. Brighter stars are higher up; hotter stars are further to the left.

The axes

  • Vertical axis: absolute magnitude, with the brightest stars at the top. Because brighter means a smaller number, the values go from about +15 at the bottom to about −10 at the top. (Some books plot luminosity, the power output compared with the Sun, instead; bright stars are still at the top.)
  • Horizontal axis: surface temperature, with temperature decreasing to the right — hot blue stars on the left, cool red stars on the right. The scale is not linear: each step doubles or halves the temperature.

The main components

GroupPosition on the HR diagramWhat the stars are like
main sequencediagonal band from top left to bottom rightstars fusing hydrogen in their cores, including the Sun; hot ones are bright, cool ones are dim
red giantsabove the main sequence, on the rightcool (red) but bright, because they are very large
supergiantsacross the very topthe brightest stars of all; red supergiants are top right
white dwarfsbottom lefthot (white) but dim, because they are very small
  • The Sun is on the main sequence, roughly in the middle: surface temperature about 5800 K, absolute magnitude about +4.8.
  • The HR diagram links to the life cycle: a Sun-like star stays on the main sequence for most of its life, moves up and to the right as it becomes a red giant, and ends at the bottom left as a white dwarf.
Worked example 5 Hard · Determine

Use the HR diagram to identify the type of each star.

StarSurface temperature / KAbsolute magnitude
P4000−0.5
Q15 000+11.5
R3200+11.5
S3800−8.0

P: cool and fairly bright, above the main sequence on the right → red giant.

Q: hot but very dim, bottom left → white dwarf.

R: cool and dim, at the bottom right end of the band → main sequence (a red main sequence star).

S: cool and extremely bright, top right → (red) supergiant.

Q and R have the same absolute magnitude but Q is far hotter. Q is a white dwarf, not a main sequence star — always use both coordinates.

Exam tips for 8(c)

Exam tip 1 — match the life cycle to the mass

Read the mass carefully. A star “like the Sun” or “of similar mass to the Sun” ends as a white dwarf — never a supernova, neutron star or black hole. Mixing up the two paths is the most common error on this topic.

Exam tip 2 — say “surface temperature”

When explaining what a star's colour tells you, give the direction of the link: “blue stars have a higher surface temperature than red stars”. “Colour depends on temperature” alone may not earn the mark.

Exam tip 3 — explain stability with two forces

A main sequence star is stable because the inward force of gravity is balanced by the outward pressure of the hot gas. Name both, and say they are balanced.

Exam tip 4 — HR axes run the “wrong” way Physics only · 2P

On the HR diagram, temperature decreases to the right and absolute magnitude decreases (gets brighter) upwards. Label both axes when you sketch it, and put the main sequence from top left to bottom right.

Exam tip 5 — absolute versus apparent Physics only · 2P

If a question asks why a star with a larger absolute magnitude looks brighter, the answer is about distance: it must be closer to the Earth.

Common misconceptions

MisconceptionWhy it is wrongCorrect idea
Red stars are the hottest, because red means hot.For glowing objects, red is the coolest colour.Blue stars are the hottest; red stars are the coolest.
The Sun will explode as a supernova.The Sun does not have enough mass.The Sun will become a red giant and then a white dwarf.
A white dwarf is bright because it is white-hot.It is very small, so it gives out little light in total.White dwarfs are hot but dim — bottom left of the HR diagram.
A bigger absolute magnitude means a brighter star.The magnitude scale runs backwards.Smaller (more negative) absolute magnitude = brighter star.
Massive stars live longer because they have more fuel.They use their fuel very much faster.More massive stars have shorter main sequence lifetimes.

Key facts

FactRoute
Star colour, coolest to hottest: red, orange, yellow, white, blueAll
Colour is set by surface temperatureAll
Sun-like star: nebula → main sequence → red giant → white dwarfAll
Main sequence: hydrogen fuses to helium; gravity balanced by outward pressureAll
Massive star: nebula → main sequence → red supergiant → supernova → neutron star or black holeDouble · Physics
Absolute magnitude: brightness at a standard distance; smaller number = brighterPhysics only · 2P
HR diagram: absolute magnitude (up = brighter) against surface temperature (decreasing to the right); main sequence, red giants, supergiants, white dwarfsPhysics only · 2P

There are no equations to learn for 8(c).

Check your understanding

1. A star is orange. State whether its surface temperature is higher or lower than that of a white star. All

Lower — orange stars are cooler than white stars.

2. Name the stage that comes immediately before and immediately after the red giant stage for a star of similar mass to the Sun. All

Before: main sequence star. After: white dwarf.

3. Explain why a main sequence star does not collapse or expand. All

Gravity pulls the star's material inwards (1); the energy released by fusion keeps the gas hot, giving an outward pressure (1); the two are balanced (1).

4. Describe what happens to a star of 15 times the mass of the Sun after it leaves the main sequence. Double · Physics

It becomes a red supergiant (1), then explodes as a supernova (1), leaving a neutron star or a black hole (1).

5. Four stars have absolute magnitudes 0.0, −5.0, +3.0 and −1.0. List them from brightest to dimmest. Physics only · 2P

−5.0, −1.0, 0.0, +3.0 — the smaller the absolute magnitude, the brighter the star.

6. Sketch an HR diagram. Label the axes and the positions of the main sequence, red giants, supergiants and white dwarfs. Physics only · 2P

Axes: absolute magnitude (vertical, brighter upwards) and surface temperature (horizontal, decreasing to the right) (1). Main sequence as a diagonal band from top left to bottom right (1). Red giants above the main sequence on the right and supergiants across the top (1). White dwarfs bottom left (1).

7. A star on the HR diagram has a surface temperature of 25 000 K and an absolute magnitude of −4.0. State its type and colour. Physics only · 2P

It lies on the upper part of the band: a main sequence star (1), blue in colour because it is very hot (1).

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