Answer to Question #151067 in Quantum Mechanics for Saba Sabir

Question

Wavelength at which the spectral radiancy of sun is maximum 500 nm. calculate the temperature of Sun ?

Answer 1

According to the Wien's displacement law,

$\displaystyle \lambda_{peak}=\frac{b}{T}$

where b ≈ 2898 μm⋅K is Wien's constant.

Therefore,

$\displaystyle T=\frac{b}{\lambda_{peak}} = \frac{2898\cdot 10^{3} \;nm\cdot K }{500 \; nm} = 5796 \;K$

Answer: 5796 K.