A) \[5.67\times {{10}^{8}}\,W{{m}^{-2}}\]
B) \[5.67\times {{10}^{12}}\,W{{m}^{-2}}\]
C) \[5.67\times {{10}^{7}}\,W{{m}^{-2}}\]
D) \[5.67\times {{10}^{14}}\,W{{m}^{-2}}\]
Correct Answer: A
Solution :
We know \[{{\lambda }_{\max }}T=b\] \[\Rightarrow \,\,T=\frac{b}{{{\lambda }_{\max }}}\,\,=\,\,\frac{2898\times {{10}^{-6}}}{289.8\times {{10}^{-9}}}\,\,\,=\,\,{{10}^{4}}\,K\] According to Stefan?s law \[E=\sigma {{T}^{4}}=\,\,(5.67\times {{10}^{-8}})\,{{({{10}^{4}})}^{4}}\] \[=\,\,\,5.67\times {{10}^{\text{8}}}\,\,W/{{m}^{2}}\]You need to login to perform this action.
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