MCQ
Two spheres made of same material have radii in the ratio 1: 2 Both are at same temperature. Ratio of heat radiation energy emitted per second by them is
  • A
    $1: 2$
  • B
    $1: 8$
  • $1: 4$
  • D
    $1: 16$

Answer

Correct option: C.
$1: 4$
(c)$Q=A \varnothing \sigma T^4 $
$\Rightarrow Q \propto A \propto r^2 \quad(\because T=\text { constant })$
$\Rightarrow \frac{Q_1}{Q_2}=\frac{r_1^2}{r_2^2}$
$=\left(\frac{1}{2}\right)^2=\frac{1}{4}$

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