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How does temperature affect the peak wavelength of black-body radiation?

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Exam-style question

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How does temperature affect the peak wavelength of black-body radiation?.

  1. A.Higher temperatures result in longer peak wavelengths.
  2. B.Higher temperatures result in shorter peak wavelengths.
  3. C.Temperature has no effect on peak wavelength.
  4. D.Peak wavelength is independent of the temperature.

Model answer

What a good answer should say

  • Higher temperatures result in shorter peak wavelengths.

Explanation

Why this works

According to Wien's law, the peak wavelength (λ_max) of black-body radiation is inversely proportional to the absolute temperature (T) of the body. The formula is λ_max = b/T, where b is Wien's displacement constant.

As temperature increases, the peak wavelength decreases, indicating that hotter objects emit radiation at shorter wavelengths.

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