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A black body has a wavelength of λ at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will be
  • a)
    2λ/3
  • b)
    3λ/2
  • c)
    4λ/9
  • d)
    9λ/4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A black body has a wavelength of λ at temperature 2000 K. Its c...
0 nm to infinity. A black body is an idealized object that absorbs all radiation that falls on it, regardless of the wavelength. Therefore, it emits radiation at all wavelengths, making its spectrum continuous. The spectral distribution of the radiation emitted by a black body depends only on its temperature and is described by Planck's law.
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Community Answer
A black body has a wavelength of λ at temperature 2000 K. Its c...
Wien's displacement law states that the black body radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature. The characteristic wavelength given is the wavelength with maximum intensity.

⟹λT=constant

⟹λ×2000K=λ′×3000K

⟹λ′=2​λ/3
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A black body has a wavelength of λ at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will bea)2λ/3b)3λ/2c)4λ/9d)9λ/4Correct answer is option 'A'. Can you explain this answer?
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