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Using Wien's law, explain how the peak wavelength of radiation emitted by a star changes with its temperature.

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Classification of stars

Exam-style question

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Using Wien's law, explain how the peak wavelength of radiation emitted by a star changes with its temperature.

Model answer

What a good answer should say

  • Wien's law states that the peak wavelength (λ_max) is inversely proportional to the absolute temperature (T) of the black body, expressed as λ_max = b/T, where b is Wien's displacement constant (approximately 2.898 x 10^-3 m·K).
  • As the temperature of the star increases, the peak wavelength decreases, meaning the star emits radiation at shorter wavelengths.

Explanation

Why this works

This answer demonstrates a clear understanding of Wien's law and its implications for stellar temperatures. It tests the student's ability to apply a specific law to explain physical phenomena, reinforcing the connection between temperature and radiation.

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