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CGP EDU Academic Team
Published on: September 12, 2026
Two spheres $P$ and Q , of same colour having radii $8 \text{ cm}$ and $2 \text{ cm}$ are maintained at temperatures 127°C and 527^\circ C respectively. The ratio of energy radiated by P and Q is
Text Solution
Verified by ExpertsThe correct answer is:
C
Total energy radiated from a body $Q = A \epsilon \sigma T^{4} t$
⇒ ⇒ $Q \propto A T^{4} \propto r^{2} T^{4}$ ( Q $A = 4 \pi r^{2}$
$\Rightarrow \frac{Q_{P}}{Q_{Q}} = \left(\frac{r_{P}}{r_{Q}}\right)^{2} \left(\frac{T_{P}}{T_{Q}}\right)^{4} = \left(\frac{8}{2}\right)^{2} \left\{\frac{(273+127)}{(273+527)}\right\}^{4} = 1$
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