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Nastasia [14]
4 years ago
7

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

Physics
1 answer:
liq [111]4 years ago
7 0

Answer:

19320 K

Explanation:

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

T=\frac{b}{\lambda}

where

T is the absolute temperature at the star's surface

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

\lambda is the peak wavelength

Here we have

\lambda=150 nm = 150\cdot 10^{-9}nm

Substituting into the equation, we find

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

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