Question

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

• A. $100\mathrm{}\mathrm{K}$
• B. $300\mathrm{}\mathrm{K}$
• C. $400\mathrm{}\mathrm{K}$
• D. $200\mathrm{}\mathrm{K}$

Answer 1

Answer: (D)

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