A) Greater than that by the second
B) Less than that by the second
C) Equal in both cases
D) The information is incomplete
Correct Answer: C
Solution :
Energy radiated per sec \[\frac{Q}{t}=P=A\varepsilon \sigma {{T}^{4}}\] \[P\propto {{r}^{2}}{{T}^{4}}\Rightarrow \frac{{{P}_{2}}}{{{P}_{1}}}=\frac{r_{2}^{2}}{r_{1}^{2}}.\frac{T_{2}^{4}}{T_{1}^{4}}=\frac{{{4}^{2}}}{{{1}^{2}}}\times {{\left( \frac{2000}{4000} \right)}^{4}}=1\]
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