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 to Stefans law that the radiant 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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