A) 1:256
B) 1:64
C) 1:16
D) 1: 4
Correct Answer: A
Solution :
Here: Initial temperature \[{{T}_{1}}=27{}^\circ C=300K\] Final temperature \[{{T}_{2}}=927{}^\circ C=1200K\] According Stefans law that the radius energy is \[E\propto {{T}^{4}}\]here\[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{T_{1}^{4}}{T_{2}^{4}}\] \[={{\left( \frac{300}{1200} \right)}^{4}}={{\left( \frac{1}{4} \right)}^{4}}=\frac{1}{256}\] Hence, \[{{E}_{1}}:{{E}_{2}}=1:256\]
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