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  4. Wein's constant is 2892 × 10-6 m K and the value of λm for the moon is 14.46 micron . The surface temperature of the moon is

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Q. Wein's constant is $2892 \times 10^{-6} m K$ and the value of $\lambda_m$ for the moon is $14.46$ micron . The surface temperature of the moon is

NTA AbhyasNTA Abhyas 2020Thermal Properties of Matter

Solution:

According to Wein's displacement law
$\lambda_{m} T=b$
$T=\frac{b}{\lambda_{m}}=\frac{2892 \times 10^{-6}}{14.46 \times 10^{-6}}$
$T=200 \mathrm{~K}$