sashapink5527 sashapink5527
  • 08-10-2019
  • Physics
contestada

What is the temperature of a star (in Kelvin) if its peak wavelength is 150 nm (that is, 150 x 10^-9 m)?

Respuesta :

skyluke89
skyluke89 skyluke89
  • 22-10-2019

Answer:

19320 K

Explanation:

The temperature of a star is related to its peak wavelength by Wien's displacement law:

[tex]T=\frac{b}{\lambda}[/tex]

where

T is the absolute temperature at the star's surface

[tex]b=2.898 \cdot 10^{-3}m\cdot K[/tex] is Wien's displacement constant

[tex]\lambda[/tex] is the peak wavelength

Here we have

[tex]\lambda=150 nm = 150\cdot 10^{-9}nm[/tex]

Substituting into the equation, we find

[tex]T=\frac{2.898\cdot 10^{-3}}{150\cdot 10^{-9}}=19320 K[/tex]

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