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  4. The star Sirius is emitting radiation with the radiant intensity (energy emitted per unit area per second) of 1.2× 107W/m2 the colour of this star will be

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Q. The star Sirius is emitting radiation with the radiant intensity (energy emitted per unit area per second) of $ 1.2\times {{10}^{7}}W/{{m}^{2}} $ the colour of this star will be

AMUAMU 1999

Solution:

: By Stefans law of radiation, $ R=\sigma {{T}^{4}} $ where $ \sigma =5.67\times {{10}^{-8}}W{{m}^{-2}}{{K}^{-4}} $ or $ {{T}^{4}}=\frac{R}{\sigma }=\frac{1.2\times {{10}^{7}}}{5.67\times {{10}^{-8}}} $ or $ T=3814\text{ }K $ The star at 3814 K will appear blue.