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A black body at 227^(@)C radiates heat a...

A black body at `227^(@)C` radiates heat at the rate of 7 cal `cm^(-2) s^(-1)`. At a temperature of `727^(@)C`, the rate of heat radiated in the same units will be

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According to Stefan's law, `E=sigmaTo^(4)`
`therefore7 = sigma(227+273)^(4)=sigmaxx(500)^(4)`
and `x=sigma(727 + 273)^($) = sigma xx (1000)^(4)`
Hence, `x/7 = (1000)^(4)/(500)^(4)` = 16
`rArr x = 16 xx7 = 112cal cm^(-2)s`
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