A) 1 : 2
B) 1 : 8
C) 1 : 4
D) 1 : 16
Correct Answer: C
Solution :
\[Q=A\varepsilon \sigma {{T}^{4}}\]\[\Rightarrow \] \[Q\propto A\propto {{r}^{2}}\] (\[\because \] T = constant) \[\Rightarrow \frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}={{\left( \frac{1}{2} \right)}^{2}}=\frac{1}{4}\]
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