If the wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5\times10^{-6}\, m$ and $10^{-4}\,m$ respectively. The ratio of their temperatures is

  • A

    $\frac{1}{100}$

  • B

    $\frac{1}{200}$

  • C

    $100$

  • D

    $200$

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