Edexcel IGCSE Physics · Spec 8.7-8.12P
Star Colour, Magnitude and the Hertzsprung-Russell Diagram
Covers link star colour to surface temperature, Distinguish apparent and absolute magnitude and Interpret the main regions of an H-R diagram.
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Star Colour, Magnitude and the Hertzsprung-Russell Diagram
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Explained
Star colour, magnitude, and reading the diagram
Two measurable things about a star are enough to place it on a chart that reveals its whole life story: how hot its surface is, and how much light it puts out. The Hertzsprung Russell diagram plots one against the other.
Colour tells you temperature
A star's colour depends on its surface temperature, and the order is the opposite of the everyday association with hot and cold taps.
Blue stars are the hottest, at around 30 000 degrees Celsius or more. White is next, then yellow, like our Sun at about 5 500 degrees. Orange follows, and red stars are the coolest, at around 3 000 degrees.
Blue, white, yellow, orange, red, running from hottest to coolest. The reason is that hotter objects emit more of their energy at shorter wavelengths, and blue light has a shorter wavelength than red.
Two kinds of magnitude
Apparent magnitude is how bright a star looks from Earth. It depends on how much light the star actually emits and on how far away it is, so a dim nearby star can look brighter than a brilliant distant one.
Absolute magnitude is how bright a star would look if it were placed at a standard distance of 10 parsecs. Putting every star at the same distance removes distance from the comparison, so absolute magnitude describes the star itself.
The scale runs backwards, which is the detail that catches people out. A lower number means a brighter star, and the very brightest have negative values. The system dates from ancient astronomers who called the brightest stars first magnitude and the faintest sixth, and the arithmetic was fitted to the naming afterwards.
The regions of the diagram
Temperature runs along the horizontal axis, decreasing to the right, so blue stars are on the left and red on the right. Absolute magnitude runs up the vertical axis, with brighter stars higher up.
The main sequence is a broad band running from the top left to the bottom right, and about nine stars in ten sit on it, including the Sun. Along it, hotter stars are brighter and cooler stars are dimmer, and a star spends most of its life here fusing hydrogen into helium.
Red giants and supergiants sit in the top right: cool, so red, but very bright, which they can only be by being enormous. A large enough surface radiates a great deal of light even at a low temperature.
White dwarfs sit in the bottom left: hot, so white, but dim, which means they must be very small. They are the exposed cores left behind when a star like the Sun sheds its outer layers.
Those two corners are the whole logic of the diagram. Anything bright and cool must be big, and anything hot and dim must be small, because brightness depends on temperature and surface area together.
What the mark scheme accepts and rejects
An Edexcel International GCSE Physics mark scheme asks candidates to compare a white dwarf with the Sun, for two marks, and offers six points: that the white dwarf is smaller, that it is more dense or has a higher value of g, that it contains less hydrogen, that fusion no longer takes place in it, that it is hotter, and that it emits less light. It allows smaller brightness, absolute magnitude or luminosity for that last one.
Then comes the instruction: ignore comments about colour, mass and evolutionary stage.
That is worth sitting with, on a page about colour. Saying the white dwarf is white is a correct observation and earns nothing, because the question asked for a comparison and both stars are hot enough to be pale. Saying it is a later evolutionary stage is also correct and also earns nothing, because it names a category rather than a difference you could measure.
The credited answers are all quantities: size, density, composition, temperature, light output. That is the shape of a comparison question in astronomy. Give things that could be put on a scale.
A mark scheme on another paper makes the colour point positively. Asked why a blue star behaves differently from the Sun, the credited answer is simply that the blue star is hotter, allowing that it is the hottest. So colour does earn marks, when the question is about temperature and you translate the colour into a temperature rather than repeating it.
Answering with the diagram
When you are asked to identify a region, work from both axes rather than from memory of the picture. Read the temperature from the horizontal position, the brightness from the vertical, then reason to the size.
When you are asked to describe a star's future, find it on the main sequence and follow the path its mass dictates. A star like the Sun moves right and up to become a red giant, then down and left to a white dwarf. A much more massive star becomes a red supergiant, explodes as a supernova, and leaves a neutron star or a black hole, neither of which appears on the diagram at all.
Spec 8.7-8.12P
What you need to know
- Link star colour to surface temperature
- Distinguish apparent and absolute magnitude
- Interpret the main regions of an H-R diagram
Active recall
Quick check
Answer each question before opening the answer.
Which colour stars are hottest?
Blue
What standard distance defines absolute magnitude?
10 parsecs
Where are white dwarfs on an H-R diagram?
Lower left: hot but dim
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