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hardQ. No. 15124-wien-s-displacement-law-relates-the-peak-wavelength-of-radiation-to-which-quantity

Wien's displacement law relates the peak wavelength of radiation to which quantity?

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APressure of the body
BAbsolute temperature of the body
CMass of the body
DColor of the body
Correct Answer: Absolute temperature of the bodyYour Answer: B

Explanation

Wien's displacement law is fundamental to understanding how objects radiate heat and light. Option A (Pressure) is incorrect — Wien's displacement law has no relation to the pressure of the radiating body. Pressure affects gas behavior (via gas laws) but is not part of Wien's radiation law. Option B (Absolute temperature) is CORRECT — Wien's displacement law states that the wavelength at which a black body emits maximum radiation (λm) is inversely proportional to its absolute temperature (T). Mathematically: λm × T = b, where b is Wien's displacement constant = 2.898 × 10⁻³ m·K. So as temperature increases, the peak wavelength shifts to shorter wavelengths (from red/infrared to blue/violet). The Sun's peak wavelength (~500 nm) corresponds to its surface temperature (~5778 K). Option C (Mass) is incorrect — mass of a body has no direct relation to the peak wavelength of radiation. Wien's law deals with the spectral distribution of thermal radiation. Option D (Color) is incorrect — while color is related to wavelength, Wien's law is about the mathematical relationship between peak wavelength and absolute temperature, not color per se.

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