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Question: Wein's constant is 2892 × 10<sup>–6</sup> SI unit and the value of l<sub>m</sub> for moon is 14.46 m...

Wein's constant is 2892 × 10–6 SI unit and the value of lm for moon is 14.46 micron. The surface temperature of moon is –

A

100 K

B

300 K

C

400 K

D

200 K

Answer

200 K

Explanation

Solution

Wein's law

lmT = b

T = bλm\frac{b}{\lambda_{m}}= 2892×10–614.46×10–6\frac{2892 \times 10^{–6}}{14.46 \times 10^{–6}}

= 200 K