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(D) According to Wien's displacement law,the product of the wavelength of maximum intensity $(\lambda_m)$ and the absolute temperature $(T)$ is a cons

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$200$

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(D) According to Wien's displacement law,the product of the wavelength of maximum intensity $(\lambda_m)$ and the absolute temperature $(T)$ is a constant: $\lambda_m T = b$.Therefore,for the sun and the moon,we have $\lambda_{sun} T_{sun} = \lambda_{moon} T_{moon}$.The ratio of their temperatures is given by $\frac{T_{sun}}{T_{moon}} = \frac{\lambda_{moon}}{\lambda_{sun}}$.Substituting the given values: $\frac{T_{sun}}{T_{moon}} = \frac{10^{-4} \ m}{0.5 	imes 10^{-6} \ m} = \frac{10^{-4}}{0.5 	imes 10^{-6}} = \frac{100}{0.5} = 200$.Thus,the ratio of their temperatures is $200$.

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times 10^{-6} \ m$ and $10^{-4} \ m$ respectively,the ratio of their temperatures is

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