A) \[6\times {{10}^{-2}}{{m}^{2}}\]
B) \[6{{m}^{2}}\]
C) \[6\times {{10}^{-6}}{{m}^{2}}\]
D) \[6\times {{10}^{2}}{{m}^{2}}\]
Correct Answer: B
Solution :
According to Stefan's law \[\frac{Q}{At}=\sigma {{T}^{4}}\] Here, \[\frac{Q}{t}=544,\] \[T=200K,\] \[\sigma =5.67\times {{10}^{-8}}W{{m}^{-2}}{{K}^{-4}}\] \[\therefore \]\[A=\frac{Q}{\sigma t{{T}^{4}}}=\frac{544}{5.67\times {{10}^{-8}}\times {{(200)}^{4}}}=6\,{{m}^{2}}\]
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