If wavelength of maximum intensity of radiation emitted by Sun and Moon are 0.5 x 10^-6m and 10^-4m respectively, then the ratio of their temperature is

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1/10

100

200

1/50

answer is D.

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Detailed Solution

$λ_{m} T_{1} = Constant [Wien's law] \Rightarrow λ_{1} T_{1} = λ_{2} T_{2} 0 .5 \times 10^{- 6} \times T_{1} = 10^{- 4} \times T_{2}, \frac{T_{1}}{T_{2}} = 200$

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