A star's surface temperature can be determined by studying the peak wavelength of radiation it emits. Describe how astronomers use the electromagnetic spectrum to determine the surface temperature of a star, and explain why stars of different temperatures appear to be different colours.
Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).
Model answer (5 marks)
Astronomers observe the light from a star with a spectrograph, which spreads the light into its component wavelengths across the electromagnetic spectrum. The spectrum shows a continuous distribution of intensity, with a maximum at a particular wavelength – the peak wavelength. By measuring this peak wavelength, astronomers can use Wien’s displacement law (λ_max = b/T) to calculate the star’s surface temperature.
The peak wavelength shifts to shorter values as the temperature rises. Consequently, hot stars have their peak in the blue or ultraviolet part of the spectrum, making them appear blue or white to the eye. Cooler stars have their peak in the red or infrared region, so they appear red or orange.
The peak wavelength shifts to shorter values as the temperature rises. Consequently, hot stars have their peak in the blue or ultraviolet part of the spectrum, making them appear blue or white to the eye. Cooler stars have their peak in the red or infrared region, so they appear red or orange.
Examiner tips
- Use the term "continuous spectrum" and "peak wavelength". Mention Wien’s law to link λ_max to temperature. Explain colour change in terms of peak shifting.
- common_mistakes
- :
- Confusing peak wavelength with average wavelength. Failing to link shorter λ_max with higher temperature. Describing colour change without reference to the spectrum.
Mark scheme (5 marks)
- Stars emit radiation across a range of wavelengths / emit a continuous spectrum of electromagnetic radiation
- Each star has a peak wavelength / the wavelength at which most radiation is emitted
- Higher surface temperature means the peak wavelength is shorter / shifted towards shorter wavelengths
- Hotter stars appear blue/white because their peak wavelength is in the blue/ultraviolet part of the spectrum
- Cooler stars appear red/orange because their peak wavelength is in the red/infrared part of the spectrum
Key terms in this question
peak wavelength · electromagnetic spectrum · surface temperature
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