A) \[971\,\,K\]
B) \[1190\,\,K\]
C) \[2001\,\,K\]
D) \[1458\,\,K\]
Correct Answer: B
Solution :
Using the Stefans law, the total radiant energy is \[\theta =eA\sigma {{T}^{4}}t\propto {{T}^{4}}\] hence\[\frac{{{E}_{2}}}{{{E}_{1}}}=\frac{T_{2}^{4}}{T_{1}^{4}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\]here\[\frac{{{E}_{2}}}{{{E}_{1}}}=2\] \[{{T}_{1}}={{727}^{o}}C+273=1000\,\,K\] or \[{{T}_{2}}=1000\times {{2}^{1/4}}=1000\times 1.19\] \[=1190\,\,K\]
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