Calculadora de Pico de Corpo Negro

Calcule o comprimento de onda de pico de emissão de um corpo negro usando a lei de deslocamento de Wien: λmax = b/T. Insira a temperatura em kelvin.

K

Comprimento de Onda de Pico

0.00000050 m

Comprimento de Onda de Pico (nm)501.5 nm

Peak Wavelength vs Temperature

Formula

Wien's Displacement Law

Wien's law states that the peak emission wavelength of a black body is inversely proportional to its temperature.

Formula

lambda_max = b / T

where b = 2.8978 x 10^-3 m·K is Wien's displacement constant. Hotter objects peak at shorter wavelengths (bluer light).

Exemplo Resolvido

The Sun's surface temperature (~5778 K).

  1. 01lambda_max = b / T
  2. 02lambda_max = 2.8978e-3 / 5778
  3. 03lambda_max = 5.015e-7 m
  4. 04lambda_max = 501.5 nm (green-yellow visible light)

Perguntas Frequentes

Why does the Sun appear yellow-white if it peaks in green?

The Sun emits broadly across the visible spectrum. Our eyes and atmosphere combine to make it appear yellow-white rather than green.

What color are the hottest stars?

Blue. Very hot stars (>30,000 K) peak in the ultraviolet and appear blue-white. Cool stars (~3000 K) peak in infrared and appear red.

How is Wien's law used in astronomy?

By measuring the peak wavelength of a star's spectrum, astronomers can determine its surface temperature without visiting it.

Aprender

Understanding Newton's Laws of Motion

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